JOMO KENYATTA NIVERSITY DEPARTMENT : STACS UNIT : STA 2103 - BUSINESS ECONOMICS I PRE-REQUISITES : NONE _____________________ Instructor: Zackayo O. Omolo Meets: Monday Contacts: E-mail: zackomolo@yahoo.com 0722697380 Purpose of the course By the end of the course the student should have a good understanding of individual, market and firm behaviour so as to be able to effectively and profitability work in a given environment. Course Outcomes To help the student think as an economist or business person using various economic concepts and principles. To develop the ability to identify the principles of microeconomics, their contribution and limitations. To understand consumer and producer behaviour by focusing on the decision-making process of firms and individuals. To identify and understand the different types of market structures and their implication on consumer welfare. Course Content Nature and scope of economics; Central economic concepts, scarcity, choice, opportunity cost. Economic systems; Concepts of demand and supply; Elasticity of Demand and Supply; Consumer theory: Cardinalist and Ordinalist approaches; Theory of the firm: law of variable proportions, law of increasing and decreasing returns to scale, theory of costs, optimum size of the firm, theory of the firm, profit maximisation; Intermediate theory of the firm and application of the mathematical approach; Market structures, perfect competition, imperfect competition, monopoly. Theory of general equilibrium and welfare economics. Public goods and externalities; An intermediate theory of factor markets; Theories of distribution, rent, interest and profit. Teaching Methodology Lecture, problem-based learning, instructor-facilitated discussions, class presentations by students, guest speakers, video/CD-ROM presentations Assessment Assessment of the student’s progress shall assume the following dimensions: 1. Assignments 2. CAT 3. Group Project Presentation 4. End of Semester Exam Total 10% 10 % 10 % 70 % 100 % Academic Policies 1. Attendance & Class Participation: students are expected to attend all classes to be eligible for an “A” grade pass in this course. Student must make sure they read the required texts and articles before the class to meaningfully participate during class. 2. Assignments: All assignments must be turned in at the beginning of the class period on the date stipulated. Late submissions will be penalized 10% for each day late up to 3 days. 3. Group Project Presentation: An addendum that stipulates the nature of this project will be presented during the course of the semester. 4. Plagiarism: or any other form of academic misconduct will result in a failed grade. Make sure 1 any idea or material that you quote or use in your work is appropriately acknowledged. Please familiarize yourself with American Psychological Association style for citation and referencing materials (This information will be found in your resource material. Feel free to discuss this with me if you have a problem). COURSE TEXTS Hardwick P. et al: An Introduction to Modern Economics, 4th Ed. (London: ELBS1990) 1. 2. 3. 4. SUPPLEMENTARY READINGS Lipsey, R. G.: An Introduction to Positive Economics, 6th and 7th Ed.(London:ELBS1983) Samuelson, P. A. (1989), Economics, 11th Edition, MCgraw and Hill, London Shapiro, E. (1982), Macroeconomic Analysis, Harcourt Brace Javanovich Inc, N/York Todaro, M. P. (1982), Economic Development in the Third World, Longman, N/York 2 STA 2103 - BUSINESS ECONOMICS I NOTES NATURE AND SCOPE OF ECONOMICS What is economics? Economics is a social science, which seeks to explain the economic basis of human society. Its the study of how society makes choices about what output is to be produced, by what means and for whom, i.e. it is the study of how the society allocates its scare resources among competing alternatives. The economic resources referred to in this definition are usually classified as land, labor, capital and enterprise. The problem of allocating these resources to achieve give ends is fundamental in the study of economics. Importance of economics: Economics covers topics that are highly relevant to many of the most pressing issues facing today’s world, e.g. free market versus government-controlled markets, resource exhaustion, pollution, the population explosion, government, inflation, the EU, their, changing living standards in advance nations, growth and stagnation among the worlds poorer nations Economics provides the skills for analyzing, explaining and where appropriate offering solutions to economic problems. Economics has a core of useful theory that explains how markets work and that evaluates their performance. Microeconomics versus Macroeconomics: Microeconomics is concerned with the behavior of individual firms industries and customers or households and deals with the effects of individual taxes and specific public spending programmes. Microeconomics deals with the problems of resources allocation, considers the problems of income distribution, and is chiefly interested in the determination of the relative prices of goods and services. Macroeconomics, however, concerns itself with large aggregates, particularly for the economy as a whole. It deals with the factors which determine national output and employment, the general price level, total spending and saving in the economy, total imports and exports, and the demand for and supply of money and other financial assets. N.B If from aggregate data - data which may blur or hide quite different behavior patterns of individual nits comprising our whole (e.g. statistics of annual agricultural output for a particular country tells us nothing about the performance of say, groundnut growers), then we have “a macro economic function”; if the function has been built up from a careful study of the individual units of which it is comprised (e.g. estimating the supply schedule of cotton producers), then we have “a micro-economic function”. Economic methodology Economics is often called a social science since the subject matter is a human being. This means that controlled experiments of the natural science are impossible. It is therefore difficult to link cause to effect. Human beings react differently to external economic events making prediction more difficult that in the natural science. Fortunately, reaction of groups of individuals to events is more stable, with extremes canceling each other. The term methodology refers to the way in which economists go about the study of their subject matter. Broadly, economists have followed positive and normative economics. Positive economics is concerned with propositions that can be tested by reference to empirical evidence. It relates to statements of what is, was or will be. The accuracy of positive statements can be checked against facts and proved correct or incorrect Thus to say that, “the rate of inflation in Kenya over the last 12 months has been 6%”, is a positive statement. By reference to the facts, it can be proved correct or incorrect. Normative economics is concerned with propositions, which are based on value judgements, i.e., statements that are expressions of opinions. Normative statements, therefore relates to statements of what should or ought to be the case. Normative statements are matters of opinion which cannot be proved or disapproved by reference to the facts, since they are based on value judgements e.g., to say that: “the govt.’s main aim should be the control of inflation”, is a normative statement since its validity cannot be checked against any facts. It is a statement, which we may either agree or disagree, but there is no way of providing that it is correct. Deduction and Empirical Testing. The process of deduction and empirical testing is the most important approach followed by modern economists. In this case, a theory is proposed, logical deduction applied to develop predictions, and a test 3 made of these predictions against the facts. For instance, one theory is that the amount of a commodity consumers wish to purchase will usually vary with its price. This prediction can be tested against how consumers actually behave. If the facts do not support the theory it must be rejected in favor of other theories which better explain actual observation. Induction. This is an alternative methodological approach in economics. The facts themselves are starting point for this approach, with any observed pattern or regularity in the facts giving the economist some guidance. It involves, first, the collection, presentation and analysis of economic data and then the derivation of relationship among observed variables, i.e., the available statistical closely examined in the search, for the general economic principles. The economizing problem The economizing problem stems from two related facts. Economic wants are unlimited because they can not be completely satisfied with the existing limited supply of resources available for production. Resources are said to be scarce relative to these unlimited economic wants. For this reason, people must make choices and economize on resource use. The Economic problem/Questions: The basic economic problem confronting all societies is how to allocate scarce resources between alternative uses. Resources are scarce because the collective desires of society for consumption at any moment in time exceed the ability to satisfy those desires. The economic problem thus arises because individuals’ wants are virtually unlimited, whilst the resources available to satisfy those wants are scarce. Because there are insufficient resources to produce all that is desired, society is forced to make a choice. These choices are: (a) What output will be produced? The society must choose which goods and services to be produced from the available resources. (b) How shall the goods be produced? There are various ways of producing given output e.g., labor intensive or capital-intensive techniques. The technique chosen must be cost effective. (c) For whom shall the output be produced? Clearly, if an output is produced there must be some means of allocating it to consumers and of deciding who receives what. In choosing which goods will be produced from scarce resources society is forced to do without those goods that might otherwise have been produced. This is very important to the economists, and in choosing what to produced, the new best alternative forgone or sacrificed is referred to as opportunity cost (or real cost) of what is produced. Opportunity cost of a decision to produce or to consume more of one good is the next best-forgone alternative. A decision to buy a T.V set, for example, might mean giving up the purchase of a sofa set. In taking decision about production, the concept of opportunity cost is vital. Types of Economic Systems Economic systems are concerned with the ownership and control of resources. economic systems are: a) Traditional economy, b) Market economy, c) Command economy, d) Mixed economy. The main types of (a) Traditional Economy. A traditional economy is one in which behavior is based primarily on tradition, custom and habit. Young men follow their fathers’ occupation, typically, hunting, fishing and tool making. Women do what their mothers did, typically, cooking and fieldwork. Traditional economy is characterized by few changes in the pattern of goods produced from year to year; production techniques follow traditional patterns, except when the effects of occasional new inventions are felt. Property is often held in common and the concept of private property not well defined. The answers to economic questions of what to produce, how to produce, and for who to produce or how to distribute are determined by traditions. b) Market Economy. In this case, resources are allocated through price mechanism. This simply means that individuals, as consumers freely choose which goods and services they will purchase, and producers freely choose 4 which goods and services they will provide. Because of this, market economies are often referred to as free enterprise or laissez-faire economies. Characteristics of Market Economies Individuals pursue their own self-interest buying and selling what seems best for themselves and their families. People respond to incentives. Other things being equal, sellers seek high prices while buyers seek low prices. There is reliance on price mechanism to allocate resources. Prices are set in open markets in which would be sellers compete to sell their wares to would be buyers. There is limited role of state. Indeed, in a strictly free enterprise economy, the only major role performed by the govt. would be that of creating a framework of rules (i.e. laws) within which both private individuals and firms could conduct their affairs. There is the existence of the right to own and dispose of private property. Any individual is free to own and dispose off factors of production. (b) Command Economy. This is an economy in which resources are allocated by central planning authority appointed by the state. In this case, key industries and resources are controlled and owned by the state. The government issues directives (i.e. instructions) to firms indicating what they should produce the quantities that should be produced, and so on. The following are some of the advantages of command economy. Because production is not undertaken for profit, there is greater likelihood that both public goods and merit goods are produced. The government simply has to issue directive to ensure production. The production and consumption of demerit goods, which impose, relatively large social costs on the society can be prevented or limited through taxes or subsidies. Greater equality in the distribution of wealth and income can be guaranteed in centrally planned economies. In a fully command economy, there are no private entrepreneurs who derive profits from combing the factors of production. Disadvantages: With command economy, there is greater reduction of consumer sovereignty. I.e., the state decides what to produce and the consumers have much less influence over production than in market economies. This culminates into shortages of certain commodities and surfaces of others. Moreover, there may be tendency towards bureaucratic structures. It is the govt. planning departments, which govern resource allocation. The opportunity cost of employing people to gather information, process it formulates plans is the alternative output these people could otherwise have produced. There is also less incentive to increase efficiency because profit motive is absent. (d) The Mixed Economy. Fully traditional, fully centrally controlled and fully free market economies are useful concepts for studying the basic principles of resource allocation. However, there is always some mixture of central control and market determination, with a certain amount of traditional behavior as well. Mixed economy refers to an economy in which both free markets and governments have significant effects on the allocation of resources and the distribution of income. The degree of mixture varies from economy to economy and over time . 5 THE THEORY OF DEMAND AND ELASTICITY Definition of market. A market can be defined as any arrangement, which brings buyers and sellers of particular products into contact. The collective actions of buyers for a particular product establish the market demand for that product, and the collective actions of sellers establish the market supply for that product. The interaction of these forces of demand and supply, i.e., market forces, establishes the market price for any given product. The nature of Demand and it’s Determinants The amount of a product that consumers wish to purchase is called the quantity demanded. Demand does not simply mean the desire to possess. Effective demand is therefore the desire to possess something backed up by the cash to pay for it. Demand thus means the willingness and the ability to purchase articles. However, it is not enough to know the quantity demanded at particular prices. The time period is also relevant. To say that demand is 1000 units at a price of Kshs100 is an incomplete statement. We need to know whether this quantity will be demanded per day, per week or per month. At any one moment in time, demand is expressed as a function of price. In other words, any other factors, which might affect demand, are assured to be constant. Determinants of Quality Demanded. The following variables influence the quantity of each product that is demanded by each individual consumer. 1) Changes in disposable income: An increase in disposable income will lead to an increase in demand for most goods and services, i.e., for normal goods. 2) Changes in the price of substitutes: A rise in the price of one good will lead to a contraction in the demand of that good and an increase in the demand for substitutes. The relationship between substitute goods is referred to as competitive demand. 3) Changes in the price of complements: Certain goods are jointly demanded. Fish and chips, bread and butter, sugar and tea, etc are examples of complements. A rise in the price of one good will lead to a contraction in the quantity of that good demanded and a decrease in the demand for the complement. 4) The price of the product: An increase in the price of the product will lead to a decrease in the quantity demanded of that product ‘ceteris paribus’. 5) Various sociological factors: E.g. changes in fashions, population, etc. 6) Changes in weather conditions: Some goods are demanded seasonally an at certain times of the year demand for these goods will increase e.g. Christmas cards, exams cards, etc. 7) Changes in consumer tastes. Individual Demand Function An individual’s demand for a good, says good X, is the quantity of the good (good X) that the individual is willing and able to buy during some time period. Suppose we list some of the factors, which may be expected to influence this consumer’s demand for good X over a given period (dx) as below: The prices of good X (Px) The price of substitutes of good X (Ps) The consumer’s income (y) Consumer’s taste for good X (T) Consumer’s expectation about future prices (E) Advertising (A) Other relevant factors (Z) Using functional notation, we write the following demand function: dx = f(Px, Ps, y, T, E, A, Z). This states simply that the individual’s demand for Quantity demanded of X is a function of all the factors listed in the brackets However, economists analyze the relationship between a consumer’s demand for X and the price of X by assuming that all the other factors influencing demand remain unchanged. This is the important “ceteris paribus” assumption which is used so widely in all branches of economics. We can now write the factions: dx = f(Px), 'ceteris paribus.' 6 An individual demand curve for a good show the relationship between the quantity demanded by the individual and the price of the good ‘ceteris paribus’. Price An individual’s demand schedule for good X 40 Price of X 10 20 30 40 0 4 Demand for X 3 2 1 0 Quantity of X (Units per week) Market Demand Function. Market demand for a product is the sum of the demands of the individual customers in relevant markets. The market demand for good X for instance is the sum of individuals’ demand in the economy. The assumption here is that the market for good X is restricted to the home economy. Suppose market demand for good X (Dx) is being influenced by the following factors: The prices of good X (Px) The price of substitutes of good X (Ps) Income of the economy as a whole (Y) Society’s taste for good X (T) Advertising (A) Other relevant factors (Z), we write the following market demand function for good X: Dx = f(Px, Ps, Y, T, A, Z). This states simply that the market demand for good X is a function of all the factors listed in the brackets Making ceteris paribus assumption and holding all the influencing factors constant except for the price of X, we can write: Dx = f(Px), “Ceteris Paribus”. Representing this on a graph and assuming that a fall in the price of X will cause an increase in the total quantity demanded, we have a downward sloping market demand curve as shown on the diagram below. DD Price As p[rice falls from OP1 to OP2, the total quantity demanded in the market falls from X1 to X2. If the price rise back to 0P1, the quantity demanded would fall back to X1. P1 P2 DD 0 X1 X2 Quantity of X This inverse relationship between the price of a commodity and the quantity demanded is called the Law of demand. According to this law, a rise in the price of a good leads to a fall in the total quantity demanded and vise versa Exceptions to law Demand. It should be noted that the law of demand does not always apply, i.e., it is not an unassailable truth. There are exceptions to it. The following examples explain this: 1) Giffen goods: A Giffen goods (named after the 19th century economist Sir Robert Giffen) is a very inferior good for which quantity demanded increases as price rises and quantity decreases as price falls. The demand curve therefore has positive slope. 7 2) Veblen goods: Veblen goods (named after the 19th century American economist-sociologist Thorsein Veblen) are luxury goods like jewelry, designer perfumes and clothing, etc. If they are put up for sale, they will lack ‘snob-appeal’ when their prices are low, and as a consequence, may not be much in demand. The reverse also applies. The market demand curve for a Giffen good or for a Veblen good will be upward sloping from left to right (i.e., positively sloped). The diagram below illustrates this DD Price The demand curve for a Giffen good or vebblen good DD 0 Quantity demanded per time period 3) Inferior goods: these goods are characterized by the fact that as incomes rise above a certain level, less of the good is actually purchased. Stapple foods such as cassava sweat potatoes and rice may be examples of African inferior goods. Movement along versus a shift on the market demand curve Movement along demand curve refers to increase or decrease in quantity demanded following a price change. The increase in demand also referred to as extensions of demand prompted NB: Other things being isequal, the by decrease in price ‘ceteris paribus’. The decrease in demand also referred to as contractions of demand is brought effects’ceteris a change in the price of good X about by increase in price of the item in question paribus’ The diagram below shows the effects of change in the prices of goods X, ‘ceteris paribus’. These effects can be traced can be seen by moving along the moving along the market demand curve for good X. demand curve. Price of X 10 8 6 4 2 0 D 10 20 30 40 50 Quantity per time period When we say that there is increase in the demand for a good, as opposed to an increase in the amount demand, we are talking about a shift in the entire demand curve. It is caused by changes in tastes, money income, or prices of other goods. The effect of such changes would alter the position of the whole curve as illustrated on the curve below: d0 Price d1 NB: the shift of the demand curve can either be to the left or to the right. d2 Quantity per time period 8 Elasticity of Demand. The elasticity of demand is a measure of the extent to which the quantity demanded of a good responds to changes in the influencing factors. The various demand elasticities are very important in both theoretical and empirical level. The following are the various types of elasticities of demand. 1. Price elasticity of demand: This is a measure of the responsiveness of the quantity demanded to a change in price. It is the proportionate change in quantity demanded over proportionate change in price. Price elasticity of demand ( Ed ) Pr oportionate change inquantity demanded proportion ate change in price If price of good X for instance, rises by 10% (or 0.1) and the quantity demanded falls as a consequence by 5% (0.05), then the price elasticity of demand would be: 0.05 0. 5 0. 1 In this case, the demand for X is inelastic because its elasticity is less than 1. Demand is said to be inelastic if the quantity demanded changes less than proportionally in response to a given hang in price. Suppose that when the price of X increases by 10%the quantity demanded falls by 20% ,the price elasticity will now be: Since the price elasticity is greater than 1, we say that demand for X is elastic. Demand is said to be 0 .2 2 0 .1 elastic if the quantity demanded changes more than proportionately in response to a given change in price. If the demand for good X has unitary elasticity, the total sales value will be unchanged. This is because if the price falls, quantity demanded rises by exactly the same proportion. NB: perfect inelasticity and perfect elasticity. It is only possible to calculate price elasticity with complete accuracy at a point on a demand curve. This is called point elasticity of demand. Point price elasticity of demand refers to a measurement of price elasticity at a particular point on the demand curve. Point elasticity can be found using the following formula for straight line demand curve: Po int Elasticity of Demand q p q p q p p q Because quantity demanded and price vary inversely, a positive change in price will be accompanied by a negative change in quantity demanded. Thus, in order to make the coefficient of price elasticity positive, a ‘minus’ sign is introduced in the formula as above. Point price elasticity of demand means that the coefficient computed is valid for small movements only. Point elasticity of a non-linear demand Price A P1 d 0 q1 Point Elasticity of a non-linear The point elasticity at point A is measured as the negative of the reciprocal of the slope target at point A, multiplied by the ratio of price to quantity demanded at that point. Arc elasticity can be calculated for the following formula: 9 An estimate of the elasticity along range of a demand curve is called the arc elasticity of demand. Arc price elasticity of demand is a measurement of price elasticity between two points on a demand curve. Arc elasticity can be calculated for both linear and non-linear demand curves using the following formula: Arc elasticity of demand q p1 p2 / 2 pq1 q2 / 2 P1 and P2 = initial quantity and price. P2 and q2 = new price and quantity Therefore (P1 + P2)/2 is a measure of the average price in the range along the demand curve and (q 1 + q2)/2 is the average quantity in that range. 1) Determinants of price Elasticity: a) Initial price of a good. Price elasticity of demand changes as we move along a demand curve. b) Availability of substitutes. The more substitutes a good has the more elastic the demand for it is likely to be. c) The proportion of consumer’s incomes spent on the goods. Goods that take a large proportion of consumer’s income e.g. cars tend to have move elastic demand than goods like salt which only take a small proportion of consumer’s income. d) Time. The demand for many goods may be inelastic in the short-run but move elastic in the longerrun. e) Whether the good is a necessity (less elastic) or luxury (elastic). f) Whether the good is habit forming e.g. cigarettes – less elastic. NB: a) Perfectly inelastic demand (Ed = 0) i.e. changes in price cause no changes in quantity demanded. b) Perfectly elastic demand (Ed = , i.e. infinity), i.e. any quantity bought at the prevailing price but a rise in price causes quantity demanded to fall to zero. c) Unitary elasticity of demand (Ed = 1), i.e. changes in price causes equi-proportionate change in quantity demanded. Total sales revenue therefore remains unchanged.\ 2) Price cross elasticity of Demand. This measure the relative responsiveness of quantity demanded of a given commodity to changes in the price of related commodity. In other words, it is the proportional change of good X divided by the proportional change in the price of good Y. This will be positive if the related good is a substitute good and negative if the related goods a complement. Cross eD Pr oportionate change inquantity demanded proportionate change in price of a related good i.e., Cross Elasticity of Demand q x Py q x Py q x Py Py q x 3) Income elasticity of Demand: This measure the relative responsiveness of quantity demanded of a given commodity to changes in money income. An income elasticity of demand greater than 1 means that a given proportionate increase in national Income e D Pr oportionate change inquantity of X demanded i.e., Income e D proportion ate change in money income D x M Dx M income will cause a bigger proportionate in quantity demanded. It follows that producers of such goods may need to plan extra capacity in times of rising income. 10 Uses of elasticity of Demand. The empirical measurements of demand elasticity help to provide the theory of price with empirical content. The government though appropriate revenue body considers elasticity of demand of the various products before tax increments are implemented. It is used when it comes to shifting tax burden. Organizations consider elasticity of demand for their products before they resort to increasing their price. Elasticity of demand is used in determining exchange rates. Consumers’ surplus The difference between total value consumers’ place on all units consumed of a commodity and the payment they must make to purchase that amount of the commodity. THE THEORY OF SUPPLY AND ELASTICITY Definition: Supply refers to the amount of goods/ services that individual firm/firms are willing and able to offer for sale over a given time period. The primary function of the firms is to hire and organize factors of production in order to produce goods and services, which are then offered for sale. Firms, then, whether sole traders, partnership, limited companies or public corporations, are the economic agents responsible for the supply of goods and services? Every firm needs to earn sufficient revenues to cover its costs if it is to remain in business in the long run. In striving to achieve their objectives of profit maximization, firms estimate their current and future sales revenues and their current and future production costs with a reasonable degree of accuracy. Firms must therefore know the profitability of employing additional labor, more capital and also the profitability of acquiring more land. All these would have an effect on the amount supplied in the market. Before deciding to supply more in the market, firms also consider the future demand for its products. The higher the price, the higher the supply. Determinants of supply 1. 2. 3. 4. 5. 6. 7. 8. Objectives of firm (O): A firm, which aims to maximize its sales, will generally supply a greater quantity than a firm aiming to maximize profits. Price of good x (Px): As the price of good x rises, with all costs and the prices of all other goods unchanged, production of x becomes more profitable. Existing firms are likely to expand their output and eventually new firms will be attracted into the industry. Prices of certain other goods (Pg): If the prices of some other goods, say y, rises, with the price of x unchanged, some of the firms now producing x may be tempted to move into y production, motivated by the search for profits, e.g. wheat and barley. Prices of factors of production (Pf): A rise in the prices of fop for a particular product causes the cost of production also to rise. This causes a fall in supply since some firms reduce output while others make losses and eventually leave the industry. The state of technology (T): Technological improvements such as inventions of new machines or development of more efficient technique of production may reduce cost and increase profit margin on each unit sold. This increase supply. Expectations (E): If the price of an item is expected to rise at a future date, firms may reduce the amount they supplying the current period to enable them build up stock to be offered for sale when price is high. Weather Govt policy :if it favors, more supply and vice versa Individual –Vs- market supply Function The individual’s supply function for good x can be written as; Sx= f(O, Px, Pf, Pg, T, E, Z) where Z represents all other relevant factors e.g. natural events, levels of taxes and subsidies, etc. Market supply is the sum of quantities of a good that individual firms are willing and able to offer for sale over a given time period. The market supply for good x for instance is the sum of the individual firm’s supply in the economy. Suppose the market supply for good x is being influences by objectives of the firms, (O) price of good x (P x), prices of certain other goods (Pg.), prices of fop (Pf), T, and Expectation (E), we can write the following market supply function for good x: 11 Sx = f(Px, Pg, O, Pf , T, E, Z), where Z = all other relevant factors. The slope of the supply curve and its economic interpretation: Supply curves describe the seller’s desire to make the good available. Generally, the more someone is willing to pay for a good, the more interested is a seller in supplying it. Thus the higher the prices, the more willing a seller is to supply. Supply curves are merely a graphical way to describe his willingness to respond with additional goods to an increase in the selling prices. The supply curve for the price of good x shows the relationship between the prices of x and the quantities that firms are willing and able to sell at those prices, ceteris paribus, i.e., Sx = f(Px), ‘ceteris paribus’. The supply will slope upwards from left to right so that as the price of the goods increases, so does the quantity that the firms are willing to supply. The diagram below illustrates this: At 20% firms are willing to supply 100 units while at 10% they are willing to supply none. S Price (Shs) 0 Quantity per time period Movement along –Vs- Shifts of the supply curve An increase in the supply of a good refers to a shift in the entire schedule of supply, that is, a shift in the supply curve. An increase in the amount supplied corresponds to movement that occurs as the price of the good in question increases. As such, it is a movement up the supply curve without any shifts implied. Shift of the supply curve is caused by changes in the prices of factors of production and technological changes. The supply curve can shift to the right or to the left. Technological advancement for instance causes the supply curve to shift to the right and vise versa. S2 S0 S1 Price 0 Shift of the supply curve due to changes in technology or prices of the factors of production. Other causes of shift of the s curve; -changes in the price of substitutes in product. -change in objective from profit to sales maximization -expected rise in price of a substitute in product. Quantity Price S Movement along the supply curve of x due to variation in the price of x P1 P2 0 Q1 Q2 Quantity ELASTICITY OF SUPPLY This is a measure of the extent to which the quantity supplied of good responds to changes in one of the influencing factors. It describes the responsiveness of sellers to a change in one of the influencing factors. 12 Elasticity of supply can either be elastic or in elastic. Inelastic supply, for instance, is a condition which occurs if the quantity supplied changes less than proportionately in response to a given change in price, price being the influencing factor. However, elastic supply occurs if the quantity supplied changes more than proportionately in response to a given change in the influencing factor e.g. price. Determinants of Elasticity supply a) Time: The supply of a good is likely to be more elastic the longer the period of time under consideration. In the momentary period, supply is limited to the quantities already available in the market and it can not be increased even if a substantial rise in price occurs. In such a period supply curve could be therefore, perfectly inelastic as shown below. S1 The quantity supplied is unchanged despite changes in the price. It is fixed at 0q. In the short-run, supply can be increased by employing more variable ‘factors e.g. laborers. The supply curve in this case will slope upwards from left to right, exhibiting some degree of elasticity as shown below. Price S1 S2 As a result increase in price, supply rises as well and quantity availed for sale is oq2 due to increase of variable factors. The supply curve SS2 represent the elastic supply in the short-run. P 0 q1 q2 In the long run, the quantities of all factors of production can be increased. Existing firms can expand their operations by increasing fixed factors of production, improving on technology and also making other adjustments. New firms can also enter the industry if the prices are high. Supply curve in the long run is likely to be much more elastic as shown below. S2 Price S1 S3 P q1 q2 S3 S3 is the supply curve in the long run. Its much more elastic than the short-run supply curve (S2S2). Quantity supplied is 0q3. q3 0 b) Excess capacity and unsold stock: In the short-run it may be possible to increase supplies considerably if there is a pool of unemployed labor and unused machinery (known as excess capacity) in the industry. If the producer has accumulated a large stock of unsold goods, supplies can quickly be increased. Supply therefore will be more elastic the greater the excess capacity in the industry and the higher the level of unsold stocks. c) The ease with which resources can be shifted from one industry to another: In the absence of excess capacity and unsold stocks, an increase in supply requires the shifting of factors of production from one use to another. Price elasticity of supply This is a measure of the responsiveness of quantity supplied to a change in the goods ‘own price’, ceteris paribus’. It can be calculated using the formula below: 13 Pr ice elasticity of sup ply ie, es proportionate change in quantity sup plied proportionate change in price q p q p q p p q Supply is said to be inelastic (es < 1) when a given percentage change in price causes a smaller percentage change in quantity supplied. It is said to be elastic (e s>1) when a small percentage change in price causes a bigger percentage change in quantity supplied. Supply is said to be perfectly inelastic (e s = 0) when any change in price does not cause change in the quantity supplied. It will be supplied even at a zero price. It is perfectly elastic (es = ) if at one price, the quantity supplied is at infinity. Nothing will be supplied at the price below the one set price. Supply is said to be unitary elastic (es = 1) when a given percentage change in quantity supplied is exactly equal percentage change in price. a) Perfectly inelastic supply curve b) perfectly elastic supply curve S S Q1 Quantity c) Unitary elastic Quantity per time period S Moving from point A to point B along the supply curve, a 100% rise in price causesa100% rise in quantity supplied. 10 5 0 8 16 Quantity Point elasticity –vs- arc elasticity of supply Point elasticity of supply measures elasticity at a particular point on the supply curve. Arc elasticity of supply is a measurement of elasticity between two points on the supply curve. Application of elasticity of supply When firms are making critical decision on the wage rate, they consider the elasticity of supply of individual factors of production. Elasticity of supply is a vital tool for economic analysis. The government when deciding on either supply-side or demand-management policies uses elasticity of demand and supply to make an appropriate move. Supply side policies - policies designed to influence aggregate supply by improving the productivity of the free market economy. Producer surplus – This is the difference between the total amount that the producers receive for any quantity of a good and the minimum amount they would have been willing to accept for it. NB: Consumer surplus – (ref). 14 EQUILIBRIUM AND ITS APPLICATION Equilibrium in the market Equilibrium is the situation that results as supply and demand interact in the market place to determine a quantity bought and sold at a stable price. Market equilibrium therefore is a price-quantity combination that results from the interaction of the supply curve and the demand such that at the indicated price, the quantity demanded equals the quantity supplied. The equilibrium has the property that once the market settles on that point it stays there unless either supply or demand shifts. Additionally, a market that is not at equilibrium price-quantity combination moves towards that point. Equilibrium price is the point at which the quantity demanded is equal to the quantity supplied. It is also known as the market-clearing price. The diagram below represents the equilibrium price-quantity. d S Price P2 (Shs) P1 P3 0P1 is the equilibrium price while 0q1 is the equilibrium quantity supplied and demanded 0 q1 Quantity At 0P2 less will be demanded while more will be supplied. At 0P 3 less will be supplied while more will be demanded. Comparative static equilibrium analysis is a method of analysis that compares different equilibrium situations when the initial equilibrium is disturbed by a change in a variable. Stable vs unstable equilibrium Equilibrium is said to be a stable equilibrium when economic forces tend to push the market towards it. That is, any divergence from the equilibrium position sets up forces, which tend to restore the equilibrium. S Price P1 Pe P2 D q3 q1 qe q2 q4 The equilibrium price at 0Pe is stable because the establishment of any disequilibrium like op1 or op2 sets up economic forces (excess supply in the case of op1 and excess demand in the case of 0P2) which, given the competition among buyers and sellers tend to push the price back towards 0Pe. An equilibrium is said to be an unstable equilibrium when economic forces tend to push the market away from it. That is, any divergence from the equilibrium sets up forces which push the price further away from the equilibrium price e.g., in the case of giffen or veblen goods. The diagram below illustrates this. S D The abnormal demand curve means that at prices above 0Pe, there is excess demand, which pushes the price upwards and away from the equilibrium. Similarly, at prices below 0Pe, there is excess supply, which pushes the price further done. 15 NB: Market disequilibrium exists when the price and quantity of a commodity fail to match consumers’ and producers’ expectation. It sets in motion a chain of adjustments and re-adjustment processes. Excess Demand and Excess Supply Excess demand of a commodity implies a shift of the demand curve to the right. This exerts upward pressure on price until it rises to the new equilibrium. The diagram below illustrates this: S P1 D1 P0 The supply of x is assumed to be fixed and only demand for x has increased causing a shift in the demand curve for good x. D0 q0 q1 With excess demand for good x, if price were to remain at P0 then a shortage equal to q0-q1 would exist. This shortage implies that consumers compete for scarce goods and drive the price up. This process continues until the price rises to P1, the new equilibrium price and quantity is q1. Notice that q1, is smaller than q1. Some of the increase in demand is discouraged by price increase that occurs. Price and quantity change in this case would be affected by the size of demand shift and the elasticity of supply curve. S The price increase is higher because supply is perfectly inelastic. P0 P1 D0 D1 Excess supply implies a shift in the supply curve to the right. This exerts downward pressure on price until it lowers the equilibrium as illustrated below: D S0 S1 P0 P1 The demand for good x is assumed to be fixed and only supply has increased thereby causing a shift of the supply curve. The new equilibrium price is at P1, price and quantity change depend on the size of supply shift and elasticity of demand. Application of Algebra in determining equilibrium Equilibrium price is attained at a point where force of demand and supply are equal. That is to say, demand price equals the supply price. Suppose the quantity demanded of commodity (Qd) x equals a - bP and quantity supplied (Qs) is -c + dP, what is the equilibrium price of commodity x? A= qty demand when price is zero B =change in qty demand due to change in price C = qty supplied at zero price D = change in supplied due to change Qd = a - bP in price. Qs = -c + dP ac d b ad bc bd At equilibrium, Pd = Ps Qd = a - bP, Qs = -c + dP 16 Qd = Qs a – bP = -c + dP a + c = dP + bP = P(d +b) ac p equilibriu m price d b a ac Qd a bP b 1 d b a d b ba c Qd d b ad ab ba bc Qd d b ad bc Qd d b Example 1: Qd 3550 266 P Qs 1800 240 P Q s Qd Therefore, 3550 266 P 1800 240 P 3550 1800 240 P 266 P 1750 506 P 506 506 P 3.46 Qs 1800 240 3.46 1800 830.4 2630.4 Example 2 Qs 15 P 1 Qd 40 P 3 1 1 Qd Qs P 40 P 5 3 1 1 P P 40 5 3 3P 5 P 40 15 8P 8 P 600 40 15 8 8 P 75 Qs 1 75 15 5 An Application of price mechanisms (theory) This is the most fundamental feature of market economic. Decisions about consumption are undertaken by millions of different people, each freely expressing their preferences for different goods and 17 1. 2. 3. 4. services. Decisions about production, on the other hand, are undertaken by tens of thousands of producers who freely decide which goods and services they are going to provide. There is little or no direct communication 1.1 each of these groups, and yet any change in the preferences of consumers is accurately and quickly transmitted to producers via ts effects on the prices of goods and services which producers provide. These price changes ensure that the decisions of consumers and producers, although taken independently are usually compatible with one another. For example, if a good suddenly becomes more popular so that there is a market shortage at the existing price, price will rise so as to ration the available supply. However, a rise in price will make the production of such a commodity more profitable. Output will therefore increase as producers are now able to attract resources away from the alternative uses by the offer of higher rewards. The process will operate in reverse when the product becomes less popular. It is important to changes in the allocation of resources. This is why the consumer is said to be sovereign in market economies. The following are some of the advantages of the price mechanism; Economic efficiency- Consumers are best judges of their interests and no one is better off without making the other worse off. Greater freedom of choice- Competition between firms gives rise to many goods and services and so consumers are able to choose from a much wider range. Greater responsiveness to the world economic environment- Market economy responds more quickly to changing economic conditions in the world markets than does a command economy. Greater incentives to bear risks- Free markets encourage competition and thus stimulate the incentive to take business risks. This leads to faster rate of technological advancement hence economic growth. Weakness of price mechanisms 1. 2. 3. 4. 5. Inequalities of income and wealth-As goods and services are produced in response to money ‘votes’ cast in their favor, scarce resources are diverted in the production of luxuries for the rich who have more 'money votes' before an adequate output of goods for the poor is producers. The pricing system therefore ignores the equity objective of resource allocation. Unemployment-At times, total demand can fall short of total supply of goods, as a result of which unsold stocks of goods accumulate, forcing producers to cut back on production plans and lay off workers. Inflation- The price system is prone to severe inflation most of the industrialized and less developed countries have experienced persistently rapid rises in prices in their economies. This has lead to social and political tensions in many countries Contrived demand-Because firms compete for markets there is extensive advertising and sales promotion activities and this have actually created new wants. Thus, consumers demand is contrived by advertising and this have resulted in substantial loss consumer sovereignty. Market imperfections-Market imperfections such as information costs, monopoly power, externalities and public goods are inherent in price mechanisms. With such imperfections, price and output levels are unlikely to satisfy the condition for economic efficiency. 18 CONSUMER BEHAVIOR AND UTILITY MAXIMIZATION Consumers are assumed to be rational. Given his money income and the market prices of various commodities, he plans the spending of his income so as to attain the highest possible satisfaction. It is possible to measure the amount or level of satisfaction that individuals get from consuming a commodity or a bundle of goods using the concept of utility. Two approaches to the concept of utility (Cardinalists and Ordinalists approach) describe how utility can be gauged. The analysis of how consumers make choices can be done using the budget constraint and indifference curves. An indifference curve shows various bundles of commodities that make the consumer equally happy or give him the same level of satisfaction. Utility Defined Utility is a measure of the satisfaction that a consumer gets from consuming a commodity or a bundle of goods. The marginal utility of a good is the increase in utility that the consumer gets from consuming an additional unit of the good. Most goods are assumed to exhibit diminishing marginal utility ie. the more of a good a consumer already has, the lower the marginal utility derived from the consumption of an additional unit of the commodity. The table below illustrates diminishing marginal utility. Quantity of x Total utility Marginal Consumed per week (units per week) (utility units) 0 0 0 1 20 20 2 50 30 3 60 10 4 62 2 5 60 -2 The Cardinalist vs Ordinalists’ Approach The cardinalist approach considers utility as being measurable in monetary terms by the amount of money the consumer is willing to sacrifice for another unit of the commodity or in subjective units called utils and can be assigned a value eg. 10, 20, 30. The ordinalists say that utility is not measurable but is an ordinal magnitude. The consumer need not know in specific units the utility of various commodities to make his choice. It is enough for him to be able to rank the various ‘baskets of goods’ according to the satisfaction that each bundle gives him. He must be able to determine his order of preference among the different bundles of goods. The main ordinal theories are the indifference curves approach and the revealed preference hypothesis. Assumptions of the Cardinal Utility Theory 1. Rationality: The consumer is rational and aims at maximizing his utility subject to the constraint imposed by his given income. 2. Cardinal utility: The utility of each commodity is measurable. The most convenient measure is money-the utility is measured by the monetary units that the consumer is willing to pay for another unit of the commodity. 3. Constant marginal utility of money: This assumption is necessary if the monetary unit is to be used as a measure of utility. 4. Diminishing marginal utility: The utility gained from successive units of a commodity diminishes as a consumer acquires more of it. 5. The total utility of a ‘basket of goods’ depends on the quantities of the individual commodities in the basket. The more the goods, the higher the utility. 19 Assumptions of the Ordinalist Utility Theory (Indifference Curves Approach) 1. Rationality: The consumer is assumed to be rational - he aims at the maximization of his utility, given his income and market prices and has full knowledge of market conditions. 2. Utility is ordinal: Consumers can rank their preferences according to the satisfaction of each basket. He need not know precisely the amount of satisfaction. 3. Diminishing marginal rate of substitution: Preferences are ranked in terms of indifference curves, which are assumed to be convex to the origin. 4. The total utility of the consumer depends on the quantities consumed. 5. Consistency and transitivity of choice: It is assumed that the consumer is consistent in his choice. If at one period he chooses bundle A over B, he will not choose B over A in another period if bathe bundles are available to him. It is also assumed that the consumer’s choices are characterized by transitivity. If bundle A is preferred to B, and B is preferred to C, then bundle A is preferred to C. Indifference curves A consumer’s preferences allow him, to choose among various bundles of goods. If two bundles suit his taste equally, we say that he is indifferent between the two. Indifference curves show the bundles of consumption that make the consumer equally happy. Properties of Indifference Curves As indifference curves represent consumer preferences, they have certain properties that reflect these preferences: 1. Higher indifference curves are preferred to lower ones as consumers usually prefer more of something to less of it. 2. Indifference curves are downward slopping. The slope reflects the rate at which the consumer is willing to substitute one good for the other. If the quantity of one good is reduced, the quantity of the other good must be increased for the consumer to remain equally happy. 3. Indifference curves do not cross/ intersect. Y B A C I2 I1 X Since both A and C are on the same indifference curve, the two points make the consumer equally happy. Point B is on the same curve as point C hence both make the consumer equally happy. This implies that points A and B would make the consumer equally happy which is not true as point A has more of both goods. The satisfaction derived from consumption at point A is superior to that at point B. 20 4. Indifference curves are convex to the origin. The slope of the indifference curve is the marginal rate of substitution (the rate at which a consumer is willing to trade off one good for the other). The marginal rate of substitution depends on the amount of each good the consumer is currently consuming. People are more willing to trade away goods that they have in abundance and less willing to trade away goods that they have little of. Consumer Equilibrium (Optimum choice) The consumer will be at equilibrium when he cannot increase his total utility by reallocating his expenditure. Suppose the consumer was consuming only one commodity x. He can either buy X or retain his money income. The consumer will be at equilibrium when the marginal utility of X is equal to it’s market price (MU X = P X ). If the marginal utility of X is greater than its price, the consumer will increase his welfare by consuming more of X. If marginal utility of X is less than its price, the consumer can increase his total satisfaction by cutting down on the amount of X consumed and leaving his income unspent. He maximizes his utility when (MU X = P X ) If there are more commodities, consumer equilibrium occurs at the point where the ratios of the marginal utilities (MRS) of the individual commodities equals their relative prices. MU X P X MU Y PY When you cross multiply, the consumer will be at equilibrium MU X MU Y MU n when PX PY Pn i.e. when the ratios of marginal utility and price are equal for all goods consumed. The marginal utility per penny of X is equal to the marginal utility per penny of Y. Suppose the price of commodity X falls then it follows that: MU X MU Y PX PY The consumer will increase his total consumption of commodity X. This will have the effect of decreasing the marginal utility of X due to the hypothesis of diminishing marginal utility. The consumer will continue to increase his consumption of X until equilibrium is achieved. Suppose initially that MUx= 20 utils, MUy = 25 utils, Px= Shs4 and Py = Shs5, the condition is satisfied as below: MU x MU y 5 utils per penny Px Py Indifference Curves - Consumer Optimum The above condition can also be graphically presented using the budget constraint and indifference curves. The consumer would like to end up with the best bundle of goods but must also end up on or below his budget constraint. The consumer chooses the point on his budget constraint that lies on the highest indifference curve. At this optimum point, the marginal rate of substitution equals the relative price of the two goods. The consumer would prefer point A but he cannot afford it as it is above his budget constraint. He can afford point B, but this point is on a lower indifference curve, therefore provides less satisfaction. 21 Quantity of Pepsi A Optimum B 0 Quantity of Pizza How Changes in Income Affect the Consumer’s Choice (Income Consumption Curve) Suppose the consumer’s income increases. He is able to afford more of both goods. The increase in income shifts the budget constraint outwards. Because the relative price of the two goods has not changed, the slope of the budget line is the same as that of the initial budget constraint. An increase in income leads to a parallel shift in the budget constraint. This allows the consumer to choose a better combination of goods. He can now reach a higher indifference curve. The consumer’s optimum moves from the initial position to a new optimum. Quantity of Pepsi Income-consumption curve 0 Quantity of Pizza When the consumer’s income rises, the budget constraint shifts outward. The consumer moves to a higher indifference curve. The two points give us the income-consumption curve. This shows how consumption varies with changes in income. At the new optimum position, more of both pepsi and pizza are purchased. The two goods are normal goods. Should the amount of pepsi purchased reduce while that of pizza increases, then pepsi will be an inferior good and pizza a normal good. This is illustrated in the following diagram. 22 Quantity of Pepsi NB: Pizza is the normal good and pepsi the inferior good. I2 I1 0 Quantity of Pizza How Changes in Price Affect then Consumer’s Choices (Price Consumption Curve) Suppose the price of pizza falls, and the price of pepsi and income remain the same. With the same income the consumer is now able to buy more pizza with the same amount of pepsi. The budget line shifts outwards to the right. The graph below illustrates this: Quantity of Pepsi Price consumption curve I2 I1 0 Quantity of Pizza Price of pizza Demand curve for pizza Quantity of Pizza The consumer’s equilibrium changes from point A to point B where he consumes more of pizza and less of pepsi. The line A-B gives us the price-consumption curve. It shows how changes in the price of pizza affect the quantity consumed. By extending the above graph we can obtain the demand curve for pizza. The consumer’s demand curve is a summary of the optimal decisions that arise from his budget constraint and indifference curves. 23 Quantity of Pepsi Substitution effect: Z1- Z2 and P1- P2. Income effect: Z2- Z3 and P2- P3. Price consumption curve P1 P2 I2 P3 I1 0 Z1 Z2 Z3 Quantity of Pizza The total effect of a price change is the sum of the substitution and income effects. The total effect of the decline in the price of pizza is the increase in quantity demanded from 0Z 1 to 0Z 3 . The movement from 0Z1 to 0Z2 is attributable to the substitution effect while the movement from 0Z2 to 0Z3 is the income effect. 24 PRODUCTION THEORY Production. Production is defined as any economic activity which satisfies human wants. It is thus the creation of utility (where utility means the ability of a good or service to satisfy a human want). Indeed, to the economist, the chain of production is only complete when a good or services is sold to the consumer. For any community, the volume of production depends on many factors, including the quantity and quality of available resources, the extent to which they are utilized and the efficiency with which they are combined. The volume of production can therefore be increased when existing inputs yield a higher output. The latter is referred to as an increase in productivity and is usually measured as average production per worker. The theory of production consists of an analysis of how the entrepreneur, given the state of art or technology, combines the various inputs to produce a stipulated output in an economically efficient manner. Production takes place within various forms of business organizations. Forms of Business Organizations. 1. Sole proprietorship. A sole proprietorship (or one-person business) is a business under the ownership and control of a single individual. It is not only easier to start but it also does not involve a lot of formalities and capital. In Kenya, such businesses are very common and are run on family grounds and members of a specific family manage them for profit. Sources of fund for sole proprietorship are owners saving, loans from relatives, friends, trade credit and to a lesser extent short term loans from financial institutions. Such businesses are usually short term in that the death of the owner leads to its dissolution or closure. In legal circles, there is no difference between the business and its owner. The two are the same from the legal point of view. Furthermore, the sole trader has no limited liability, i.e., his assets and liabilities and those of his business are one and the same thing. In the event of its dissolution, should the business assets fail to meet the claims of the creditors, then the personal assets to the sole proprietor can be attached to meet the creditor’s claims. Advantages of sole proprietorships - - It is simple to start and dissolve this type of business. The sole trader enjoys top secret of his business success/failures. Profit motives usually motivate the sole trader to work harder. Close supervision by sole trader enables him to boost sales. The owner can give personal attention to customers because the business is small in size. It’s the most highly adoptable and flexible form of business when it comes to changes. Sole decision-making guarantees swift abrupt decision making. Disadvantages 2. The economic life of a sole trader business is usually equal to the life of the sole proprietor. It can therefore not attract long term financing to finance long term plans due to lack of continuity. The sole proprietor has unlimited liability. The success of the business depends upon the judgment and management abilities of its owners.’ Laymen’ find it very hard at times. Relies on traditional sources of finance. Lack of proper accounting knowledge hence the difficulty of distinguishing between their own cash and business capital. One-person businesses are common in retailing, farming, building and personal services such as hairdressing. Partnerships A partnership business is a business under the ownership and control of two or more individuals with a view of profit. Usually, most partnerships are of unlimited status, meaning that in the event of the partnership business failing to meet its obligations, then the personal assets of individual partners may be attached to settle such obligations. 25 A partnership is ideal where the amount of capital requirement is reasonably large and so calls for contributions from various persons Its also ideal where pooling of effort is necessary for best performance and thus efficiency e.g. in legal or audit professions. Ownership of any one partner can not be transferred without the consent of other partner or partners. Admission or dismissal of any one partner must have full consent of the other partners. By law, its account does not have to be audited, Advantages: - The business can benefit from talents of individuals partners. More capital can be raised from individual partners. Unanimous stand on decision making guarantees sound decisions Partnerships have high growth due to adequate managerial talents. Disadvantages: 3. Partners may not pool their talents equally and this may lead to apathy among partners who put more efforts in running of the businesses. There may be lack of mutual trust among partners therefore, suspicion. Disagreements among partners may delay the decision-making process. Active partners may use business assets to achieve personal interests/gain at the expense of dormant partners. Partnership businesses may have a short life span. Joint stock companies A joint stock company is a legal entity that carries out business in its own name. The company is owned by its shareholders whose liability is limited. These companies are usually governed by an Act of parliament which lay down the formation and general conduct of joint stock companies. Joint stock companies are distinct from their owners and its assets are owned by the company and not its shareholders. A joint stock company can either be a private limited company or a public limited company. The shares of a private company cannot be offered to the public for sale and thus can not be transferred without the consent of other members. They require a minimum of two and a maximum of 50 shareholders or members. The shares of a public company can be offered for sale to the public. A public company requires a minimum of 7 shareholders, but there is no upper limit. The shares are freely transferable and the company is required to hold an annual general meeting where shareholders are able to question directors, to change the company’s article of association, to elect or dismiss the board of directors, to sanction the payment of dividends to approve the choice of auditor and to fix their remuneration. 4 Co-operatives A co-operative is an entity owned and controlled by its members on the basis of one- member onevote. The movement which comprises a familiar section of the retail trade is based on consumer ownership and control. Producer co-operative, however, are owned by producers. 5 Public Corporations These types of enterprises develop when the government decides to place production in the hands of the state. The government appoints the chairman and board of directors which is responsible to the minister of the crown for fulfilling the statutory requirements for the public corporation laid down by parliament. The minister is supposed not to concern himself/herself with the day to day running of the company. Public utilities such as railways, gas, electricity and water supply are state owned in most countries. Factors of production The factors of production refer to the inputs used in production process. Economists place the factors of production into one of the three categories. These are land, labour and capital. Sometimes, enterprise is also added to the list i) Land 26 - This include minerals, forest water and other natural resources as well as land itself used in agriculture and as a site upon which economic activities take place. Land therefore refers to all natural resources which are used in production. ii) Labour - This refers to all human attributes, physical and mental, that are used in production. Labour is not a homogeneous factor of production as some jobs require little, if any, training while others require several years to training e.g. surgeons and civil engineers. The education that is invested or embodied in trained labour is sometimes referred to as human capital. iii) Capital - - Capital refers to goods which are not for current consumption but which will assist consumer goods to be produced in the future. Capital goods are sometimes called investment or producer goods. They are wanted because of the contribution they make to production. Capitals include all plant machined and industrial buildings that contribute to production. Capital is a stock, i.e., it exists at a point in time. Capital stock could be measured at a particulate moment. With time as it consumed capital depreciates in value. Depreciation (or capital consumption) is a measure of the extent to which the capital stock falls in value as a result of use (or wear and tear) during the relevant time period, normally a year. The purchase of new plant or machinery is called investment. Investments a flow- i.e., it can be measured as ‘so much’ per time period. iv) Enterprise It is the entrepreneur who organizes the produce and what quantities of the factors of production to use. The entrepreneur bears the risk of production because he/she incurs the costs of production before receiving any revenue from the sale of the finished product. Production function Production involves the transformation of resources into final goods and services. The relationship between inputs and output is a technological relationship which economist’s summaries in a production function. Production function is a schedule or table or mathematical equation showing the maximum amount of output that can be produced from any specified set of inputs, given the existing technology or ‘‘state of the art’’. In short, the production function is like a ‘recipe book’ showing what outputs are associated with which sets of inputs. Suppose that the production of good x requires inputs of capital, labor and land; Using functional notation, we can write: Qx = f(K, L, LD), where QX is output per time period, f is the functional relationship; and K, L and LD represent the inputs of the services of capital, labor and land respectively into the production process. This is production function of the inputs of the services of capital, labour and land. A production method is said to be technologically efficient if for a given level of factor inputs, it is impossible to obtain a higher level of output, given existing technology. An improvement in technology, of course, would enable more output to be produced from a given level of inputs and this is a possible source of economic growth. Technology therefore acts as a constraint on production possibilities. The production function may be shown as a table, a graph or as a mathematical equation. Short-run variations in output. a) A manufacturing firm wishing to increase its output is unable to have a bigger factory built overnight and so in the short-run can only produce more by employing more of its variable factors such as labour, raw materials and fuel. Short-run is that period over which at least one factor of production can not be varied. Those factors which can be varied in the short run are called variable factors. Those which can not be varied in the short-run are called fixed factors. The laws of returns explain the relationship between changes in the input of these and changes in the level of production. The general relationship is summarized in two laws which are sometimes combined into a single law known as the law of variable proportions. The law of increasing returns - This law states that in the early stages of production, as successive units of a variable factor are combined with a fixed factor, both marginal and average product will initially rise i.e., total output will rise more than in proportion to the rise in inputs. b) The law of diminishing returns - This law states that as successive units of a variable factor are combined with a fixed factor with a given state of technology, after a certain point both marginal 27 product and average product will fall. In other words, total output will rise less than in proportion to the rise in inputs. Eventually total output will even diminish as marginal product become negative. The changing nature of returns to a variable factor can be seen in the table below: We assume that an increasing amount of labour works on a fixed quantity of land that each worker is homogeneous and that techniques of production are unchanged. Wheat production illustrating the law of diminishing returns No of Total workers product 1 4 2 10 3 20 4 35 5 50 6 60 7 65 8 65 9 55 Average product 4 5 6.7 8.8 10 10 9.3 8.1 6.1 Marginal product 4 6 10 15 15 10 5 0 -10 Under these circumstances, the firm’s production function for wheat can be written as: _ _ _ Qw f L, K , LD , T Where QW is the output of wheat in tones per time period, L is _ _ _ labour and is changing, K is capital (fixed) LD is land (fixed), and T is technology (fixed). It can be seen that upon the employment of the fourth worker, the firm experiences increasing marginal returns because the increase in total product is proportionately greater than the increase in the variable factor. This clearly shown by the rising marginal product of each worker up to the employment of the 4th worker. When marginal product is rising, the rate of increase of total product must also be rising. The main reason why firms experience increasing returns is because there is greater scope of division of labour as the number of workers employed increase. Diminishing marginal returns set in after employing a fifth worker when it is clear that the rate of increase of total product, i.e. marginal product begins to fall. Diminishing returns set in because the proportions in which the factors of production are employed have become progressively less favourable, reflecting the fact that there are limits to the gains from specialization. The fixed factors of product have become over utilized. The average product of a factor of production is the total output per unit of factor input, i.e., AP =TP/L. The marginal product of a factor of production is the change in total output as a result of a unit change in the factor input. i.e., MP= ∆TP/∆L. The diagram below illustrates the relationship between total, average and marginal products. The AP and MP curves, the relationship between them can be derived from the total product (TP) curve. C TP products AP 0 L1 L2 variable factors MP (No. of workers) Since AP=TP/L, then AP is given by the slope of the ray from the origin to the relevant point on the AP is equal to the slope of 0L1 units of labour are used, the AP is equal to the slope of the ray 0A, i.e., 28 Units of AL1/0L1 . AP is at maximum where the ray from the origin is target to TP curve, i.e., at point C where 0L2 units of labour are employed, there are employed until 0L2 units of labour are employed, there are increasing average returns to the variable factor (labour). A t that point, the slope of TP is given by CL2/OL2 which is equal to AP, confirming that AP = MP when AP is at maximum. MP is at maximum when TP curve is steepest, i.e., between A and C TP reaches maximum when OL3 units of labour are employed. At this point MP=O, confirmed by the slope of TP curve at point D. If additional units of labour are hired, total product (TP) falls and MP is negative. Short-run variations in costs In the short-run it is possible to categorize the firm’s costs as either fixed costs or variable costs. Fixed costs are incurred on fixed factors of production and variable costs on variable factors of production. Fixed costs Because it is impossible to vary the input of fixed factors in the short-run, fixed costs do not change as output increases. Additionally, it is important to realize that fixed costs are incurred ever when the firm’s output is zero. Fixed costs include mortgage or rent on premises, hire purchase repayments, local authority rates, insurance charges, depreciation and so on. None of these costs is directly related to output and they are all costs which are still incurred in the short-run ever if the firm produces no output Because total fixed costs are constant with respect to output, average fixed costs (AFC), i.e., total fixed costs (TFC) divided by output (TFC/Q), decline continuously as output expands. Diagrammatically, the behaviour of total fixed costs and average fixed costs as output expands are shown below. TFC AFC 0 Output Variable Costs: Unlike fixed costs, variable costs (VC) are directly related to output. When firms produce no output, they incur no variable costs, but as output is expanded variable costs are incurred. Because they vary directly with output, these costs are sometimes referred to as direct costs or supplementary costs. Examples of these costs include costs of raw materials and power to drive machinery, wages of direct labour and so on. The diagram below shows the behaviour of variable costs as output changes. TVC Total Variable Cost 0 Output Total costs: TC =TFC + TVC. TC is the sum of total fixed costs and total variable costs Average variable costs is the variable costs per unit of output, i.e., AVC = TVC/Q Average total cost (ATC) is the total cost per unit of output, i.e., TC/Q. ATC = AFC+AVC = TC/Q. Marginal costs (MC) is the change in total cost as a result of changing the level of output by one unit, i.e., MC = ∆TC/ ∆Q The relationship between Marginal costs and Variable costs Since marginal costs is the change in total cost when one more unit is produced, it is entirely a variable cost. Because in the short-run only the input of variable factors can be changed, it is clear that the sum of MC of producing each unit equals the total variable costs of production. 29 Additionally, although variable costs (VC) vary directly with output, they are unlikely to vary proportionately because of the effect of increasing and diminishing returns. It is clear that TVCs at first rise les than proportionately as output expands and the firm experience increasing returns. Subsequently, as the firm experiences diminishing returns TVCs rise more than proportionately as output expands. The changes in TVCs brought about increasing and diminishing returns also imply changes in AVCs. When the firm experiences increasing marginal returns, marginal product rises and marginal costs fall. Conversely, when the firm experiences diminishing marginal returns, marginal product falls and marginal costs rises. The diagrams below illustrate the effect of changes in marginal and average product on the marginal and average cost. Product AP MP Quantity of Variable ctor MC Cost AVC 0 OUTPUT When MC is below AVC, the latter is falling. This is because in the short-run MC is the addition to total variable cost (TVC). When the last unit adds less to the total than the current average, then the average must fall, just like in any average must fall. AVC rises when MC lies above it. The implication of this is that the MCS curve cuts the AVC curve at its minimum point. The Behavior of Different costs of production We know that average fixed costs fall continuously as output expands and that initially, because of increasing average returns, average variable costs (AVCs) fall. It follows that average total costs (ATCs) will initially fall. However, beyond a certain point, average variable costs (AVCs) will begin to rise because of diminishing average returns, and once the rise in AVCs move than offset the fall in AFCs (average Fixed costs), ATCs will rise. This is clearly shown in the diagram below: MC AC (ATC) AVC AFC 0 30 The MC curve cuts the ATC curve at the minimum point for exactly the same reason that it cuts the AVC at the minimum point. Output 0 1 3 4 4 5 6 7 8 9 10 11 12 Fixed cost 100 100 100 100 100 100 100 100 100 100 100 100 100 TVC 0 50 95 135 165 180 190 195 205 225 265 325 410 Total cost 100 150 195 235 265 280 290 295 305 325 365 425 570 MC 50 45 40 30 15 10 5 10 20 40 60 85 AVC 0 50 47.5 45.0 41.3 36 31.7 27.9 25.7 25 26.5 29.5 34.2 AFC 100 50 33.3 25 20 16.7 14.3 12.5 11.1 10.0 9.1 8.3 ATC 150 97.5 78.3 66.3 56 48.3 42.1 38.1 36.1 36.5 38.6 42.5 NB: Because of rounding AFC and AVC may not always exactly equal ATC. Long- run variations in costs Long- run is that period of time over which the input of all factors of production can be varied. The long run is a planning horizon. The long run refers to the fact that economic agents (consumers and managers) can plan ahead and choose many aspects of’ short-run in which they will operate in the future. Thus, in a sense, the long-run consists of all possible short-run situations among which an economic agent may choose. LAC curve-A firm is normally faced with a choice among quite a variety of plants. The curves below illustrate six plants represented by short-run AC curves LMC SAC1 COST SAC5 SAC2 SAC6 LAC SAC3 E 0 QUANTITY Economies of scale Diseconomies of scale The plant represented by SAC1 will be built because it will produce this output at the least possible cost per unit. With the plant whose short run average cost is given by SAC 1 unit cost could be reduced by expanding output to the amount associated with point B, the minimum point on SAC1 most efficient level. If demand conditions suddenly increase and so larger output is desirable, the manager could easily expand and this would add to profitability by reducing unit cost. When setting future plans, the manager would decide to construct the plan represented by SAC2, because this would reduce unit cost even more. The point E represented by SAC4 is the least cost point. It is the point beyond which, diseconomies of scale is experienced. The Long run average cost curve is a locus of points representing the least unit cost of producing the corresponding output. The manager determines the size of the plan by reference to this curve, selecting 31 that short run plant which yields the least unit cost of producing the anticipated volume of output. Each plant is suitable for a particular range of output. Each point on the LAC curve corresponds to a certain point on the SAC curve. Each point represents a tangency between the SAC curve and the LAC curve. Returns to scale In the long run, there are no fixed factors and firms can vary all the inputs of factors of production. When this happens, we say that there has been a change in the scale of production. If a in the scale of product leads to ‘more than proportionate’ change in output, firms are subject to increasing returns to scale. E.g., if factor inputs are increased by 10% and output grows by more than this, then firms are experiencing increasing returns to scale. Economies of scale refers to falling average cost as the scale of output increases. The diagram below illustrates this: SAC3 SAC2 LAC SAC1 C1 C2 q1 Economies of scale q2 Diseconomies of scale LAC curve reaches a minimum when 0q2 units are produced. Up to this level of output the LAC curve is declining. The firm is therefore experiencing economies of scale. This is because the firm has increasing returns to scale, assuming fixed factor prices. As output is increased above 0q2, the LAC curve rises indicating that the firm is facing diseconomies of scale. With fixed factor prices, this must be because the firm is experiencing decreasing returns to scale at these levels of output. It is sometimes suggested that firms might experience constant returns to scale as output grows so that a change in all factor inputs results in an equi-proportional change in output. Sources of Economies of scale 1) Technical economies These are usually common in manufacturing, since they relate to the scale of the production unit. There are several reasons why costs might fall as the scale of product increases, including, a) Greater scope for division of labor - The larger the size of the production unit the more men and machines are able to specialize. b) Indivisibilities - Certain items of capital expenditure are relatively expensive and can not be purchased in smaller or cheaper units, yet they may be helping raise output substantially. E.g. the installation of automatic electronic control systems in industry, although expensive, yield substantial increases in efficiency. This gives larger firms considerable advantage over smaller firms because the costs of such equipment per unit output falls dramatically as output expands. c) Research and development - A large firm may be able to result its own research and development programme which can result in cost reducing innovations. d) Economies of linked processes - Most manufacturing output requires the use of more than one machine. Large firms are able to operate more efficiently than smaller ones, because it may be when output is large that all the machines can be used to capacity. e) Economies of increased dimensions - If the external dimensions of a container are increases more than proportionately. 2) Marketing economies These include economies from bulk purchases and economies from bulk distribution. 32 3) Financial economies Large firms are frequently able to obtain finance more easily on more favourable term than smaller firms e.g. interests rates reduction. 4) Risk bearing economies Large firms frequently engage in a range of diverse activities so that a fall in return from any one activity does not threaten the viability of the whole firm. 5) Managerial economies Sources of Diseconomies: There is always an optimum level of capacity and increases in scale beyond this level lead to diseconomies of scale which manifest themselves in rising average costs of production Diseconomies of scale have several sources, including: 1) Managerial difficulties - It becomes increasingly difficult to control and coordinate the various activities of planning, product design, sales promotion and so on as firms grow. This is especially true where a diverse range of products is produced. 2) Low morale - This leads to high rates of absenteeism and lack of punctuality. It may also lead to a lack of interest in the job which inhibits the growth of productivity and leads to high incidence of spoiled work. 3) High input prices - As the scale of production increases, firms require more inputs, and increasing demand for these might bid up factor prices. Additionally, when firms produce on a large scale, the power of trade unions to negotiate wage awards in excess of the growth of productivity thus increasing average labor costs. ISOQUANTS An isoquant is a contour line which joins together the different combinations of two factors of production that are just physically able to produce a given quantity of a particular good. It is sometimes called an isoproduct curve. Iso stands for constant and quant for quantity CAPITAL (K) 300 K1 200 K2 100 0 L1 Each isoquant shows different combination of labour and capital which when used efficiently can produce a given level of output L2 LABOUR The isoquant labeled Q1 combination capital and labour i.e., K1 and L1 which can produce P1 units of output. An output of Q2 units is bigger than Q1 and can be produced using any of the combinations of capital and labour represented by point along the isoquant labeled Q 2 , such as point C and D. An isoquant map is a family of isoquant labeled graphically illustrating the production function for a good. Mathematically, isoquants can be represented as: Q = f(K, L) = Q0 i.e., any combination gives an output of Q 0. The slope of the isoquants gives the rate of technical substitution between labour and capital when Q is held constant (i.e. Q). The slope shows the rate at which a unit of capital can be traded for a unit of labour without reducing or increasing output, i.e., it tells us the technical possibility of substituting labour for capital. 33 RTS LK k l Q≡Q Properties of isoquants 1) Isoquants cannot intersect. Point H is a combination of capital and labour which used efficiently can produce two different quantities Q1 and Q2, which is absurd. The intersection implies that the two factor inputs are not efficiently used. Capital Q2 Q1 0 Labour 2) Isoquants are negatively sloped Because both capital and labour have positive marginal products (so that the employment of extra units increases total output), then it follows that to maintain a given output, when the quantity of one factor is reduced, the quantity of the other factor must be increased. Capital Q 0 Labour 3) Isoquants are convex to the origin: If labor and capital are substitutes for each other though not perfect substitutes, then isoquant curves will be convex to the origin. As bigger quantities of labor and smaller quantities of capital are employed to produce a given level of output, labour becomes less and less capable of substituting for capital. The reverse also applies ‘mutatis mutandis’ (taking into consideration differences in details. This is illustrated below; K Q 0 As the units of capital are given up successively bigger quantities of labor must be employed to keep the output level unchanged. This makes the isoquant convex to the origin as shown. L As the qty of capital employed is reduced by one unit from OA to OB units, the quantity of labour employed must increase from OD to OE for output to remain unchanged at Q 1 units. This slope is called the marginal rate of technical substitution of capital for labor. It measures the rate at which capital can be substituted for labour keeping output constant. 34 Long- run variations in costs Long- run is that period of time over which the input of all factors of production can be varied. The long run is a planning horizon. The long run refers to the fact that economic agents (consumers and managers) can plan ahead and choose many aspects of’ short-run in which they will operate in the future. Thus, in a sense, the long-run consists of all possible short-run situations among which an economic agent may choose. LAC curve-A firm is normally faced with a choice among quite a variety of plants. The curves below illustrate six plants represented by short-run AC curves LMC SAC1 COST SAC5 SAC2 SAC6 LAC SAC3 E 0 QUANTITY Economies of scale Diseconomies of scale The plant represented by SAC1 will be built because it will produce this output at the least possible cost per unit. With the plant whose short run average cost is given by SAC 1 unit cost could be reduced by expanding output to the amount associated with point B, the minimum point on SAC 1 most efficient level. If demand conditions suddenly increase and so larger output is desirable, the manager could easily expand and this would add to profitability by reducing unit cost. When setting future plans, the manager would decide to construct the plan represented by SAC 2, because this would reduce unit cost even more. The point E represented by SAC4 is the least cost point. It is the point beyond which, diseconomies of scale is experienced. The Long run average cost curve is a locus of points representing the least unit cost of producing the corresponding output. The manager determines the size of the plan by reference to this curve, selecting that short run plant which yields the least unit cost of producing the anticipated volume of output. Each plant is suitable for a particular range of output. Each point on the LAC curve corresponds to a certain point on the SAC curve. Each point represents a tangency between the SAC curve and the LAC curve. Returns to scale In the long run, there are no fixed factors and firms can vary all the inputs of factors of production. When this happens, we say that there has been a change in the scale of production. If a in the scale of product leads to ‘more than proportionate’ change in output, firms are subject to increasing returns to scale. E.g. , if factor inputs are increased by 10% and output grows by more than this, then firms are experiencing increasing returns to scale .Economies of scale refers to falling average cost as the scale of output increases. The diagram below illustrates this: 35 SAC3 SAC2 LAC SAC1 C1 C2 q1 Economies of scale q2 Diseconomies of scale LAC curve reaches a minimum when 0q2 units are produced. Up to this level of output the LAC curve is declining. The firm is therefore experiencing economies of scale. This is because the firm has increasing returns to scale, assuming fixed factor prices. As output is increased above 0q2, the LAC curve rises indicating that the firm is facing diseconomies of scale. With fixed factor prices, this must be because the firm is experiencing decreasing returns to scale at these levels of output. It is sometimes suggested that firms might experience constant returns to scale as output grows so that a change in all factor inputs results in an equi-proportional change in output. Sources of Economies of scale 1) Technical economies These are usually common in manufacturing, since they relate to the scale of the production unit. There are several reasons why costs might fall as the scale of product increases, including, f) Greater scope for division of labor - The larger the size of the production unit the more men and machines are able to specialize. g) Indivisibilities - Certain items of capital expenditure are relatively expensive and cannot be purchased in smaller or cheaper units, yet they may be helping raise output substantially. E.g. the installation of automatic electronic control systems in industry, although expensive, yield substantial increases in efficiency. This gives larger firms considerable advantage over smaller firms because the costs of such equipment per unit output falls dramatically as output expands. h) Research and development - A large firm may be able to result its own research and development programme which can result in cost reducing innovations. i) Economies of linked processes - Most manufacturing output requires the use of more than one machine. Large firms are able to operate more efficiently than smaller ones, because it may be when output is large that all the machines can be used to capacity. j) Economies of increased dimensions - If the external dimensions of a container are increases more than proportionately. 6) Marketing economies These include economies from bulk purchases and economies from bulk distribution. 7) Financial economies Large firms are frequently able to obtain finance more easily on more favourable term than smaller firms e.g. interests rates reduction. 8) Risk bearing economies Large firms frequently engage in a range of diverse activities so that a fall in return from any one activity does not threaten the viability of the whole firm. 9) Managerial economies Sources of Diseconomies: There is always an optimum level of capacity and increases in scale beyond this level lead to diseconomies of scale which manifest themselves in rising average costs of production Diseconomies of scale have several sources, including: 36 4) Managerial difficulties - It becomes increasingly difficult to control and coordinate the various activities of planning, product design, sales promotion and so on as firms grow. This is especially true where a diverse range of products is produced. Low morale - This leads to high rates of absenteeism and lack of punctuality. It may also lead to a lack of interest in the job which inhibits the growth of productivity and leads to high incidence of spoiled work. High input prices - As the scale of production increases, firms require more inputs, and increasing demand for these might bid up factor prices. Additionally, when firms produce on a large scale, the power of trade unions to negotiate wage awards in excess of the growth of productivity thus increasing average labor costs. 5) 6) ISOCOST LINES The decision about the optimal output can be explained by (1) cost outlay or (2) by the given level of output. The firm can have a given amount of money to spend in hiring a given input. The firm will maximize output subject to given cost outlay. Maximizing output implies maximizing profit. The firm will try to minimize input to incur little cost n producing a given output. The firm’s total cost (TC) can be presented diagrammatically by an isocost line. This isocost is the counterpart of the budget line in the case of consumer choice. Isocost line illustrates all the combinations of capital and labour that can be bought for a given monetary outlay It gives a locus combination of inputs that cost a given level money. K 0 L Each isocost line shows combination of capital and labor that can be bought for a given outlay (or cost). A change in the relative factor price ratio will change the slope of the isocost lines e.g., if the price of K rises in terms of labor, the isocost lines above would become less steep. The firm has a choice of various combinations along any one isocost line. Any combination cost him the same amount of money. _ _ _ c w c w The isocost can be expressed as K L , i.e., c wL rK K L r r r r c = total cost outlay r = interest rate for capital w = wage rate (the cost of labour) L = Labour _ c = vertical intercept (Y-intercept) r _ c = horizontal intercept (X- intercept) w _ c The slope of the isocost = i.e., the rate of exchange between labour and capital. r 37 The Least Cost Factor Combination Expansion Path The firm chooses optimal level of input by combining isoquant and isocost, i.e., at minimum cost, a firm will produce at a point where isoquant curve is just tangent or touching an isocost line CAPITAL At point A, we have the slope of isocost given as –w/r which is equal to the slope of isoquant given by MPL/MPK, i.e., MPL/MPK =-w/r A K1 Q C L1 LABOUR Thus at the optimal point, the slope of the isoquant equals the isocost. Expansion Path: This is a locus of cost minimizing points. It is a long the curve where costs are minimized for various levels of output. The diagram below illustrates this K EP2 The locus of points e0e1e2 is referred to as the firms long run expansion path EP1 EP3 Labour EP2 will imply that the price of labour is higher and capital is low. This therefore, is capital intensive EP3 will imply that the price of capital is higher and that of labour is low. Therefore, it is labour intensive. 38 PURE /PERFECT COMPETITION Behavioral rules for profit maximization – short run equilibrium These rules apply to all profit maximizing firms, whether or not they operate in perfectly competitive markets The rules include: 2. A firm should not produce at all if, for all levels of output exceeds the total revenue derived from selling it or, equivalently if the average variable cost of the output exceeds the price at which it can be sold. MC P = TR/Q = AR P4 = MR4 = D4 ATC P4 P3 P3 = MR3 = D3 AVC P2 P2 = MR2 = D2 P1 = MR1 = D1 P1 0 Q1 Q2 Q3 Q4 QUANTITY At Q4, the firm is making profit. At Q3 price is the same as ATC and MC. There are no profits made. At Q2, the revenue made simply covers variable cost but does not cover fixed cost. P2 is therefore the shutdown. At any price below it, the firm will shutdown. The firm cannot operate at price P 1 because it is incurring losses. Whenever it is worthwhile for the firm to produce some output, it should produce the output at which marginal cost. 3. MC Price per unit 3 AR = MR = P The demand curve for a perfectly competitive firm is a horizontal straight line. 0 10 4. OUTPUT The firm should leave its output unaltered when the last unit produced adds the same amount to costs as it does to revenue. This is short-run equilibrium of the firm. An output where marginal cost equals marginal revenue may either be profit maximizing or profit minimizing. 39 Price per unit MC P MR 0 q0 q1 The figure shows two outputs where marginal cost equals marginal revenue. However, the equality of MR and MC is necessary but not sufficient. MC = MR at output q0and q1 output q0 is a minimum profit position because a change of output in either direction would increase profit all for outputs below q 0 MC exceeds MR and profits can be increased by reducing output, while for outputs above q 0 MR exceeds MC and profits can be increased by increasing output. Output q1 is a maximum-profit position, since at outputs just below it MR exceeds MC and profits can be increased by increasing output towards q 1 is a maximum-profit position, since at outputs just above it MC exceeds MR and profit can be increased by reducing output towards q1. A firm that is operating in a perfectly competitive market will produce the output that equates its MC of production with the market price (AR=MR) of its products (as long as price exceeds average variable cost). Assumptions of perfect competition. Perfect competition is a market structure characterized by complete absence of rivalry among the individual firms. This is a market said to be perfectly competitive when buyers and sellers believe that individually their own behaviour have no influence on the market price. The following are the assumptions of perfect competition. 1) There are a large number of sellers and buyers in each buying or selling such a small amount of product that individually they are powerless to influence market demand or market supply. Each firm is a price-taker. 2) Consumers are indifferent from whom they make purchases because all units of the commodity are homogeneous, i.e., they regard the product that an individual firm supplies as a perfect substitute for the product that any other firm in the same market supplies. 3) There is perfect knowledge of market condition among buyers and sellers so that each is fully informed about the price producers in different parts of the market are charging for their product. 4) There are no long-run barriers to the entry of firms into the market, or their exit from the market. 5) There is perfect mobility of factors of production. It is assumed that land, labor and capital can switch immediately from one line of production to another. 6) Buyers are able to act on the information available to them and will always purchase the commodity from the seller offering the lowest price. 7) No government regulations. These conditions ensure that in perfectly competitive markets all firms charge an identical price for their product. Any firm attempting to charge a price above its competitors will face a total loss of sales. This is because of product homogeneity and perfect knowledge by the buyers. Perfectly competitive firms also have no incentive to change lower price since they can sell their output at the existing market price. The firm in perfect competition is therefore a price taker, i.e., it accepts the market price perceive their own demand curves and demand curves of their competitors to be perfectly elastic at the ruling market price. The diagram below shows the determination of market price in a perfectly competitive market and individuals demand curve at this price. Price S Revenue AR = MR p D QUANTITY (MILLIONS) QUANTITY 40 (HUNDREDS) Market supply and market demand are represented by supply and demand respectively. Given these supply and demand conditions, the ruling market price is 0P, and the firm perceives its own demand curve to be perfectly elastic at this price. The short-run Equilibrium of a firm in perfect competition. MC AVC E q2 qE P = MR = AR q1 The firm chooses the output for which p=MC above the level of AVC. When the price equals MC as at output qE, the firm loses profits if it either increases or decreases its output. At any price left of qE, say q2 price is greater than the MC and it pays to increase output (as indicated by the left-hand arrow). At any point to the right of q E, say q1, price is less than the marginal cost and it pays to reduce output (as indicated by the right-hand arrow). In a perfectly competitive market each firm is a price-taker and quantity adjuster. It pursues its goal of profit maximization by producing the output that equates its short-run MC with the price of its product that is given to it by the market. Average and marginal Revenue Because the firm sells its entire output at the prevailing or ruling market price, each additional unit of output sold adds exactly the same amount to total revenue as each preceding unit sold. Therefore, for the firm in perfect competition, marginal revenue is constant at all levels of output and equals to market price (AR). Price (AR) =TR/q. Short-run Equilibrium - Supernormal profits Since the firm is powerless to change the price of its product, it maximizes profit by adjusting output to the point where MC=MR. The diagram below shows the market equilibrium and the short-run equilibrium position of the individual firm perfect competition. PRICE Revenue & Cost MC AC P P AR = MR T 0 0 Quantity (Millions) Q Quantity (Hundreds) Given the price and costs shown above, the firms equilibrium (i.e. profit maximizing) output is 0Q, because this is the output level equates MC with MR. A t all levels of output below 0Q, MR>MC, so that an extension of output adds more to total revenue than it does to total cost. In these circumstances, 41 total profit can be expanded by increasing output. Conversely at output levels greater than 0Q, MR<MC and reduction on output will reduce total costs by more than it reduces total revenue so that total profit will rise. It follows therefore the profit can be maximized when MR=MC, and this simple rule applies to all market structures. Details of MR and MC enable us to determine the firm’s profit maximizing output, but it is total cost and total revenue maximizing output, but it is total cost and total revenue which tell us the actual level of profit earned. With details shown on the above diagram, total revenue (TR)=0P x 0Q=0PRQ while total cost (TC) =0T x 0Q = 0TSQ .TR-TC =PRST (total cost), alternatively, average revenue (0P) - average cost (0T) = average profit (RS) and this when multiplied by output (0Q), gives total profit PRST. It this case therefore, it is clear that the firm is earning supernormal profit because AR>AC. Above normal/ supernormal profit is the level of profit in excess of normal profit. Normal profit is the level of profit necessary to keep factors of production in their present use in longrun. Long-run Equilibrium- normal profits. Earning supernormal profits will in the long-run attract other new firms into the industry. Perfect knowledge of market conditions will ensure that firms outside the industry are aware of the level of profits earned, and in the absence of long-run barriers to entry will ensure that they are able to enter the industry and undertake production. D S MC SI AC P P AR = MR PI PI ARI = MRI 0 0 QI Quantity Quantity (Hundreds) While changes in the output of an individual firm will have no perceptible effect on market supply, the influx of many new producers into the industry will clearly have a marked impact. If market demand for the industry’s product is constant, the increased market supply will pull down price. Nevertheless, firms will still be attracted into the industry so long as supernormal profits exist. Only when these have been completed away, with all firms earning only normal profit, will the industry be in equilibrium. The adjustment from short-run to long-run equilibriums is shown in the diagram below: ref. Market demand and market supply is represented by demand and supply respectively, and the initial market price is 0P. Given this price, the firm produces its equilibrium output OQ. The existence of supernormal profits attracts other firms into the industry so that in the long run market supply shifts to supply and market price falls to OP. The individual firm is powerless to resist the reduction in market price and is forced to adjust its output so as to preserve equality between marginal cost and marginal revenue. The industry is in long-run equilibrium when price has fallen to the extent that all firms in the industry earn only normal profits, or at least potential entrants to the industry see no prospects of earning anything other than normal profit. Normal profits are insufficient to dissuade those firms already in the industry from leaving. In the above diagram, long-run equilibrium is established when market price has fallen to OP1 and the firm produces OQ1units. Given this output and price combination, the firm’s total revenue (OP 1x OQ1) exactly equals its total cost (OP1 x OQ1) including normal profit and since the firm equals to MR with MC this is the maximum attainable profit given the ruling market price OP 1. Quantity (Millions) 42 PURE MONOPOLY Pure monopoly exists when supply of a particular good or services is in the hands of a single firm or small group of firms who jointly coordinate their marketing policies. The latter situation is referred to as a cartel. Because market supply is in the hand of a single supplier, a monopoly has great power to influence the price of its product. However, this does not imply that it has total power to fix price, since it cannot control consumer demand. In effect, the monopolist has two choices: 1. To fix price and allow demand to determine supply (output) 2. To fix supply (output) and allow demand to determine price. The inability to control market demand makes it impossible for a monopolist to simultaneously fix both price and output. Average and marginal Revenues Unlike the firm in perfect competition, the monopolist’s average and marginal revenues will be different. This is because the monopolist faces a downward sloping demand curve and is forced to reduce prices in order to expand sales. The table below is used as a basic for illustration. Output/sales 0 1 2 3 average revenues (shs) 10 9 8 total revenue (shs) 10 18 24 marginal revenue (shs) 10 8 6 In order to expand sales from 1 unit to 2 units, it is necessary to reduce the price of both units. Hence price falls from shs 10 per unit to shs 9 per unit, and the marginal revenue is shs 8. Similarly, when price is reduced from shs 9 per unit to shs 8 per unit, marginal revenue falls to shs 6. Hence, marginal revenue will always be less than average revenue under monopoly. Barriers to Entry Barriers to the entry of firms into a market might take a variety of forms and indeed entry into any particular market might be restricted by the existence of several barriers. These might include any of the following: 1. Technical barriers: Because of indivisibilities, some organizations have relatively high fixed costs so that average total costs continue to fall as output expands over relatively large ranges. This is true in the case of public utilities supplying water, electricity and so on. Such industries are referred to as natural monopolies because distribution is most efficiently undertaken by a single supplier. 2. Legal barriers: In certain markets, legal regulations might prevent the emergence of competition. Patent rights might ensure a monopoly position by preventing other firms from producing identical products. However, this barrier is only temporary and lasts only as long as the life of the patent (usually16 years). In any case, it is often possible to circumvent this safeguard by producing similar products. 3. Control of factor inputs or retail outlet: Where a firm has complete control over the supply of a factor of production, it might be able to exercise monopoly power over the products produced by that factor e.g. the ownership of land containing the only known deposits of a specific mineral. An equally effective monopoly might result from a single firm owning the key retail outlets for a product. 4. Agreements between suppliers: An effective monopoly can exist when firms in an industry agree to cooperate rather than complete. The most formal type of agreement between suppliers is known as cartel and this exists when a single agency organizes the marketing of a product supplied by several firms. The aim of the cartel is often to restrict market supply of the product, thereby forcing up price and increasing profits for the members of the cartel. Cartels present a formidable barrier to entry into the market. The monopolist’s equilibrium output in the short-run. We have already seen that for all producers, profits are maximized when MC=MR. Based on this, the figure below illustrates a monopolist’s equilibrium output in the short-run. 43 Revenue and Cost P MC R AC T AR MR 0 Q QUANTITY The monopolist maximizes profit when price is 0P and output 0Q. Here, total revenue 0PRQ minus total cost 0TSQ gives a profit equal to PRST. It can be noted that the monopolist is earning supernormal profit and one of the characteristic features of monopoly is that it is possible to earn this level of profit even in the long-run. If supernormal profits continue in the long-run, this implies the existence of barriers which restrict the entry of additional firms into the industry. These barriers are therefore the very essence of monopoly power. The monopolist Demand Curve Since the monopolist is the sole supplier of a good, the firm is in effect, the industry. The monopolist therefore faces the market demand curve which is normally downward sloping from left to right. The demand curve tells us the prices at which the producer can sell different levels of output. AR=TR/Q =P. The demand curve is therefore also called the AR curve. Faced with the downward sloping AR the monopolist has to reduce the price of all units in order to sell extra units of output. This means that MR, which is the revenue earned by selling an extra unit, must be less than AR (or price). The figure below illustrates this: TP Revenue AR MR Quantity From the diagram we can see that as the monopolist sells move, total revenue increases and reaches a maximum. Beyond a certain point, TR begins to fall and MR becomes negative. However, a profit maximizing monopolist would never produce where MR is negative. Monopoly Equilibrium in the long-run In a pure monopoly, entrance into the market by potential competitors is not possible. Thus, whether or not a monopolist earns a profit in the short-run, no other producer can enter the market in the hope profit is not eliminated in the long-run. Ref. Ferguson pg 307. Discriminating Monopolist A monopolist may charge different prices less different markets and, in this way, increase total profits. This is called price discrimination. Price discrimination, therefore, is a situation in which a supplier charges different price to different consumers for the same or similar product and where the price differences do not reflect differences in the costs of supply. Price discrimination implies that differences in price are the result of deliberate policy by the monopolist. Price discrimination can only be successful when the following conditions are fulfilled: 44 1. 2. 3. There must be at least two distinct markets for the good or services and there must be no see page between these markets. They may be separated geographically, by type of demand e.g., h/hold and industrial demand for milk, by time e.g., changing differently during the peak and off-peak periods and finally by the nature of product e.g. medical treatment cannot be resold. Supply must be in the hands of a monopolist so that competing firms are unable to enter production and undercut the monopolist in the higher priced markets. Elasticity of demand must be different in at least two of the markets. Price discrimination is illustrated below: MARKET A AGGREGATE MARKET MARKET B P1 Revenue and cost Revenue and cost P2 P Revenue and cost AR Q1 MR Quantity AR AR Q2 Quantity Q Quantity MR Note: 0Q = 0Q1+ 0Q2 Market A and B are separated in some way so that seepage between them is impossible. Combining the average and marginal revenues from each market yields the monopolist applies the profit maximizing rule and equates aggregate MR and aggregate MC. This gives the profit maximizing output 0Q, but no the profit maximizing price. To obtain this, the monopolist must equate aggregate MC with MR in each individual market A of 0P1 and of 0P2 in market B, i.e., a higher price in the market with less elastic demand. The sum of the sales in both markets is equal to the total amount produced. There are no other distribution of output 0Q between the two markets (and therefore no other prices) which could increase total profit. Forms of price discrimination. 1. 2. First degree price discrimination: -This is also known as perfect price discrimination which occurs when a producer charges a consumer the highest price he/she is willing to pay for each unit sold. The monopolist has to have knowledge of each individual consumer’s willingness to pay or demand curve. It’s also essential that the producer is able to prevent resale of the product by individual consumers. The producer is able to extract the whole of consumers’ surplus. Second- degree price discrimination: - In this case, the monopolist charges different price for different blocks of consumption. The aim is to charge a relatively high price for the first block of consumption, a lower price for the next and so on. This is illustrated below. DD The monopolist charges different prices for different prices for different blocks of consumption. A P1 P2 B C D P3 0 Q1 Q2 E DD Q3 Quantity TR=OP1AQ1+Q1BCQ2+Q2DEQ3 for selling without the use of second degree price discrimination, the revenue earned would be given by the area OP 3 EQ3 3. Third-degree price discrimination: -The monopolist is able to separate two or more markets with differing elasticities of demand and charge different price the separate markets. 45 MR MONOPOLISTIC COMPETITION Features: This market structure has features of both perfect competition and monopoly. There are no barriers to entry into the industry. Each firm produces a product which is differentiated in some way from the products of its rivals. Such product differentiation is often achieved or reinforced by branding and advertising. Because each product is differentiated, each firm has a monopoly over the supply of its own product. It faces a downward sloping demand curve for its product with respect to price. This implies that the MR curve lies below its AR curve. It is called competition among the many. The market is characterized by non-price competition. This refers to strategies adopted by producers to give their products a competitive advantage, other than a price cut. There is free entry and free exit of firms into and form the industry. Products differentiation refers to a set of marketing strategies designed to capture and to retain particular market segments by producing a range of related products. Product differentiation implies that while each firm is likely to face a relatively elastic demand curve, it will not face a perfectly elastic demand curve. This is because if a single firm should raise its price, it would not lose its sales, as would be the case in perfect competition. Some customers would continue to buy the product because of the quantities that differentiate it from the company products, i.e., brand loyalties exist. Price and output determination in the short-run As with other market structures we assume that the firm aims to maximize profit. Itproduces that level of output at which MC=MR. This illustrated below Revenue and Cost P T The firm is in equilibrium when it produces 0Q units and charges a price of OP per unit. At this price and output combination, it earns supernormal profit of PRST. AC MC R S AR 0 Q MR However, this cannot represent a long-run equilibrium position because the existence of supernormal profit will attract more firms into the industry. Long-run output and price determination The existence of supernormal profits in the long-run will attracts more firms into the industry. Indeed, firms will continue to enter the industry until supernormal profits have been completed away and each firm earns only normal profit. The firm’s long-run equilibrium position is shown below. LMC Revenue and cost P LAC R The extra firms attract some, but not all of the firms’ customers. This can be shown as a leftward shift of the firm’s demand curve until it just touches its AC curve. AR1 0 Q MR1 46 In the long run, total revenue=total cost=OPRQ. Each firm, although maximizing profit (MC=MR) earns only normal profit and there is no tendency for firms to enter or leave the industry. The firm maximizes profit by equating MR and LMC. It earns normal profit in the long run as the entry of new firms competes away any short run above normal profit. OLIGOPOLY AND DUOPOLY MODELS Oligopoly is a market structure characterized by few producers of either homogenous or differentiated products. Each firm has a considerable portion of the market. Duopoly, however, is a special case of oligopoly whereby only two firms dominate the market for the product. Oligopoly, which is sometimes referred to as competition among the few is characterized by the unawareness of each firm in the industry of the actions or reactions of other firms. Firms supply competing brands of a product and any action in terms of price and non-price strategies by one firm may well be matched by the firm’s rivals. The policies of every firm affect other firms. Whatever one firm does affect the others. There is high degree of oligopolistic interdependence which implies that if an oligopolist changes its price or non-price strategies, its rivals will react. The behaviour of oligopolists is strategic which means that they take explicit account of the impact of their decisions on competing firms and of the reactions they expect from competing firms The products have a high cross elasticity of demand. Moreover, oligopolistic market structure is characterized by uncertainty. When one firm decides to reduce its price, that actual firm is unaware or uncertain of reactions of other firms. The possible ranges of reactions could be: a) Price undercutting b) Reducing the price by the same magnitude c) Advertising d) Improving the quality e) Changing design of the product f) Improve the services associated with the product. All these reactions and others are not known to firm. Price and output determination: Under oligopoly, there are two groups/categories of models. These are: 1) Non-collusive models 2) Collusive models Non-collusive models This is when the firms act independently without consulting. Under this we have the following models a) COURNOT DOUPOLY MODEL Here, there are two firms; The model is based on the following assumptions: i) There are two independent firms producing and selling homogenous products. ii) Each firm knows the demand curve for the product. iii) The cost of production is assumed to be zero. iv) Each firm decides about the quantity it is going to produce and sell in each period. v) Each firm is uncertain of other firms plan regarding the quality to be produced. vi) Each firm takes supply of the rival firm to be constant. vii) The demand curve is assumed to be a straight line downward sloping. 47 ep>1 P ep=1 ep<1 mc = 0 MR P1 C1 e=1 P2 C3 mc 0 D=AR C2 Firm A produces where MC=MR=0. To supply half of the market, output 0Q, at price of 0P1, the profits are equal to 0Q1C1P1 Q2 Q1 Assume that firm A initially enters the market. How much will it produce to maximize profit? Firm A will produce where demand curve is elastic, i.e., where ep=1 for monopolist. Q MR When firm B enters the market, it finds when half of the market has been taken. When will be the best position for firm B? What remains is Q1Q. Firm B is therefore facing C1Q demand curve. Firms B enters the market and supply half of C1Q demand curve, i.e., the remaining market which is a ¼ of the total market. The price reduces to 0P 2 . The profits are reduced to 0Q2C2P2. Therefore, profits for firm A = 0Q1C3P2; profits for firm B = Q1Q2C2C3. The process continues until equilibrium is reached. Equilibrium would mean that the two firms A and B will eventually supply the same amount. The output of firm A is declining gradually. Oligopolistic market there are few sellers of a product and any single seller will therefore occupy a position of sufficient importance in the market for changes in his production activities to induce reactions from the others. Pricing and output decisions of oligopolistic sellers are highly interdependent. The sellers are always aware of this interdependence and consequently each will way carefully the possible reactions that might be forthcoming from his competitors when he makes price-output decision. Thus, the fundamental problem in oligopoly is that the outcome of any individual decision will depend on the reactions of rival producers and so long as the initiator of the action cannot predict with certainly what his rivals will do, then output and the long of oligopoly will become highly indeterminate. Limitations 1) The model is based on naïve assumption that each firm believes that its rival will never change its volume of output even though it repeatedly observes such changes. That the producer does not learn from past behaviour. 2) The assumption of cost less production is unrealistic. 3) The Cournot model is a closed one. There are no new entrants. 4) The model does not tell us how long the adjustment period will take. Sweezy or Kinked Demand model. 1) 2) 3) 4) The existence of interdependence provides possible explanation for the relative price stability that sometimes characterize oligopolistic markets. Despite the changes in costs or demand conditions, firms under oligopoly are not willing to change prices. This model explains why prices tend to be stable under oligopoly market. The following are some of the reasons why prices tend to be stable under oligopoly: Individuals firms might have learnt through experience the bad effects of price war and therefore prefer price stability. Firms may prefer to stick to the current price level in order to prevent new firms from entering the industry. Firms may be satisfied with the current prices output and profit and therefore there is no need to change the price. A stable price might have been set through agreement and therefore no firm would like to disturb it. The price stability can be explained or illustrated by the kinked demand curve which is based on the following assumptions: 48 a) b) c) d) There is an established price at which all firms in the industry are satisfied. Each firm’s attitude depends on the attitude of the rival firm. If one firm reduces price, other firms will follow, and therefore, in elastic demand. If one firm increases the price other firms do not follow, and therefore elastic demand. The MC pass through a vertical position of the MR. The figure below illustrates the kinked demand curve: D1 Revenue D and cost MR A P MC1 MC B C D D1 Q MR1 Because the firm perceives demand to be relatively elastic if it raises price, and relatively inelastic if it reduces price, it perceives its demand (DAD1) to be kinked at the ruling price (0P). It therefore has little incentive to alter price from 0PL. The figure shows that because the firm perceives its demand curve to be kinked, it has discontinuous marginal revenue curve. In fact, when price is 0P, MR is common point (A) on what is effectively two separate demand curves (DD and D1D1), with associated MR curves. The region BC therefore referred to as the region of indeterminacy. It implies that even when costs are changing, so long as MC remains within the region of indeterminacy, changes in cost will have no effect on the profit maximizing price and output combination, because the firm will still be producing where MC=MR. For example, in the above figure when MC rises from MC to MC1 this has no effect on the price changes or the output it produces. Price leadership. There might be an accepted price leader in oligopolistic markets. Price changes are initiated by the leader and other firms in the industry simply follow suit. The role of the price leader might be acquired because a firm is referring to dominant firm leadership. Alternatively perceives changes in market demand for the product. This is referred to as “barometric price leadership”. Whatever, basis of leadership, its existence would explain price stability because price changes would only be initiated by a single firm. This firm would not be confronted with price cutting by other firms and therefore price would tend to be relatively stable. COLLUSIVE MODELS. This is where firms come together to make joint decisions in order to avoid uncertainty in the oligopoly market. There are two main types of collusion. 1) Price leadership. 2) Cartels. Cartels 1) 2) 3) 4) 5) a) b) A cartel is an organization formed by firms within the same industry for the purpose of reducing competition and uncertainty in the market with a view of increasing profits. A cartel is formed in order to: Determine the price. Determine the amount to be produced by all firms i.e., industry supply. Determine the amount to be produced and sold by each firm. Determine the profits. Determine the area of operation of each firm. There are two types of cartels: Cartels aiming at joint profit maximization Cartels aiming at sharing of the market. 49 Non-price competition The existence of price wars is evidence of competition in oligopolistic markets. However, even when prices are stable, on- price competition between rival producers is often intense. This can take a variety of forms: 1) Competitive advertising: This is common in oligopolistic markets. Advertising is used to reinforce product differentiation and harden brand loyalty. 2) Promotional offers: These are common in some oligopolistic markets such as household detergents and toothpaste. Such offers frequently take the form of veiled price reductions such as “two for price of one or 25% extra free”. 3) Extended guarantees: This is an increasingly common technique in many of the markets for consumer durables. By offering free parts and labour guarantees for longer periods than their competitors, firms aim to increase the attractiveness of their products. 50