Theory of the Firm: Basic Concepts Product, Costs and Profits Direction and Motivation • Opening the “blackbox “ of Firms (Producers) to understand the supply curve more • The types of industries (market structure) they operate under • Analytical Method – Introduce the fundamental concepts of firms -performance and behavior – Conduct efficiency analysis and justify the possible reasons for government interventions Fundamental Concepts: • Fundamental concepts necessary to analyze the behavior and performance of a firm – Production/Output = Q or P (NOT price) – Costs= C – Revenue = R – Profit = π • What kind of indicators pertaining to these variables can we think of to effectively analyze the firm? Imagine you will be given massive amount of data of the above variables e.g. each week, each month, for many years. How would you make sense of this massive data? – Our focus: Total, Marginal, and Average Values • And what can you with these indicators in order to help us make quick and good decisions? Operation of a firm • A firm purchases inputs and uses them to produce output for sale. • It is ASSUMED that the aim is to make profits. • The Input-Output Process is the technical relationship between Input and Output. It can also be envisioned as the technology of PRODUCTION The “process” depends on… • The technical relationship between the inputs and output and thereby how firms behave, dependentson the time dimension the firm is operating under • i.e. the short run vs. the long run • To effectively analyze the behavior and performance of the firm, it is essential to use this classification between the short run vs. long run Short Run • The short run is a time period during which at least one input is fixed and cannot be changed by the firm • e.g. if the firm wants to increase output, it can hire more labor, buy more tools and raw materials (variable inputs) • but it cannot quickly change the size of its buildings, factories, and heavy machinery (fixed inputs) Long Run • The long run is a time period during which all inputs can be changed. • e.g. in the long run, the firm can build new buildings, factories, and buy more heavy machinery • The firm can change all its inputs. The firm has no fixed inputs and all inputs are variable • NOTE: the short run vs. the long run do NOT correspond to any particular length of time. Some industries may require months to change their fixed inputs while other may require years Describing the Production/Output in the Short Run • We start with the analysis of the production (level of output) of the firm in the short run • e.g. envision a simple farm as the firm. It has only two inputs, land or capital (which is the fixed input) and labor (which is the variable input). The only way the farm can increase the quantity of its output in the short run is by increasing the quantity of the varible input, labor it uses Introducing the Total Product, Marginal Product, and Average Product Group VI • Product = Output = Production • Total Product (TP) is the total quantity of output produced by a firm • Marginal Product (MP) is the extra or additional output resulting from one additional unit of the variable input (i.e. labor). It tells us how much output increases as labor increases by one unit (eg one worker or one hour) • Average Product (AP) is the total quantity of output per unit of variable input. It tells us how much output each unit of labor produces on average Example (also Widgets) • To find the MP, we take the change in TP and divide by one unit increase in labor e.g. the MP of the third worker is (9 – 5)/(3 – 2) = 4 • Pages 3 and 4 of H/O TP, MP, and AP Curves • What trends do you see? What relationships do you see? What kind of mathematics are we using? And WHY are they patterned this way? • graphs of continuous functions The relationship between the Average and Marginal curves • Note the relationship between AP and MP curves: when the MP lies above the AP curve (MP > AP), AP is increasing; and when the MP curve lies below the AP curve (MP < AP), AP is decreasing … Why is this so? (continued) • Consider a simple example using your average test scores or your GPA. Say you have an average of 80 in your tests so far and you would like to increase your average • Now, if your next test score (the marginal score) is greater than your average of 80, your average will………….. But if your next test score is lower than your average of 80, your average will…………. • This is why the AP and MP is patterned the way described above. Moreover, this pattern implies that the MP curve always intersects the AP curve at its maximum point Now, why (conceptually) are the TP, MP, and AP curves shaped the way they are? • The data used is not a random set of data. In fact, it characterizes the majority of the firms behavior in the short run of real life setting. That is, the pattern characterizes the technical relationship between inputs and outputs in the short run • Why is then the TP, MP and AP patterned this way? What economic concept explains this phenomena? Marginal Returns in the SR • Returns = extra output • As more and more units of a variable input (eg labor) are added to one or more fixed inputs (eg capital), the marginal product of the variable input at first USUALLY increases (due to division of labor or specialisation) but it will eventually begin to decrease • • Law of Diminishing Returns If one input is fixed, then employment of additional units of the variable factor will eventually result in a diminishing marginal product. (continued) • The Law of Diminishing Returns happens because each additional workers has less and less capital (fixed input) to work with, and so produces less and less • ---no longer the OPTIMUM RATIO OF LABOR TO CAPITAL • “Too many cooks spoil the broth” • Also a realistic portrayal of firm’s operation. There cannot be unlimited returns given at least some fixed inputs • For this reason, in real life, for companies to be successful, they must keep forecasting the future business opportunities and investing in new machines, factories, etc. (the fixed inputs) in order to avoid the diminishing returns! but then we are in the long run Costs of Production • Costs of production (costs of inputs) include money payments to buy resources plus anything else give up by a firm for the use of resources • Resources (factors of production and inputs) and its cost include: – Land Rent – Labor Wage – Capital Interest – Entrepreneurship Profits Costs as Opportunity Costs • Because of scarcity, the use of any resource by a firm involves a sacrifice of the next best alternative use of that resource, which is an opportunity cost • All production costs are opportunity costs and are also referred to as economic costs • This understanding helps us clarify/classify two types of costs underlying production or economic costs: – – – – Explicit Costs Implicit Costs Explicit Costs + Implicit Costs = Economic Costs window cleaner example Explicit vs. Implicit Costs • Economic costs comprises of two kinds depending on who owns the resources used by the firm: either owned by the firm itself or by householders from whom the firm buys resources • When the firm uses resources it does not own, it buys them from households .These payments made by a firm to acquire resources of production are called the Explicit Costs – e.g. firm hires labor and pays wages (including to the CEO); purchases materials and tools from a seller; uses electricity and pays its bills; pays interest on loans Explicit vs. Implicit Costs (continued) • The firm may own some of the resources that it uses e.g. office building. In this case, the firm does not make a money payment to acquire the resource. But cost is the sacrifice of income that would have been earned if the resource had been employed in its next best alternative use. This sacrificed income arising from the use of self-owned resources by a firm is called Implicit Costs – e.g. for land, the rental income from the building you owned; for the entrepreneur= the extra risk and uncertainty in running the company . He needs to be paid for his entrepreneurial skill (= “normal profit”) Economic Costs (Explicit + Implicit Costs) • Economic costs are the sum of explicit and implicit costs, or total opportunity costs incurred by a firm for its use of resources, whether purchased or self-owned. When economists refer to “costs” they mean “economic costs”. • Therefore “normal profit” is part of economic costs Economic Costs and PROFIT REVENUES COSTS and Economic Profit Accounting costs and profit 800,000 yen PROFIT= Accounting Profit= Implicit costs: 100 000 (or “normal profit) Explicit costs: Wage = 600,000 Materials= 50,000 Interest on loan= 5000 Total = 655,000 Explicit costs: Wage = 600,000 Materials= 50,000 Interest on loan= 5000 Total = 655,000 In the Real World… • In the real world or business world, we only see and record the explicit costs and calculate profits accordingly (aka accounting profits) – The job of Financial Accountants, certificate in Certified Public Accountant • Implicit costs are really an imaginary concept. There is no one method of defining them It can get quite psychological and they usually are impossible to measure . Yet, it is again important as we make decisions – E.g. the decision to become a teacher vs. a government official – different pros and cons; different benefits and costs for which I cannot really add a monetary value – Decision to start a business, decision to change your major and degree… there are some sort of implicit cost – When we take into account of implicit cost we define Economic Profit PROFIT π • ECONOMIC PROFIT (or POSITIVE or ABNORMAL)= • REVENUE − COSTS • Where costs include IMPLICIT costs (or normal profit) as well as EXPLICIT costs • ________________________________________ • ACCOUNTING PROFIT • = Implicit costs+ economic profit • OR • ACCOUNTING PROFIT • = normal + abnormal (economic) profits. More on Profit • If TR = TC firm is making…………………… • It is BREAKING EVEN • However, it is making ……………….accounting profit • If TR>TC firm is making…………………… We can illustrate the three cases as follow… The Cost of Production in the Short Run • Costs = f (Output) • The short run has at least one input which is fixed fixed cost, variable cost, and total costs • Fixed costs (FC) do not change as output changes e.g. rental payments, property taxes, insurance premiums, interest on loans, etc. (Group VI) – Do not increase or decrease with output, even if there is zero output, these payments have to be made in the short run… but in the LR, if there is zero output, if you were a CEO, then might want to consider descaling your business or close it down (continued) • Variable costs (VC) arise from the use of variable inputs. There are costs that vary (change) as output increases or decreases e.g. wages of labor, electricity bill, gas and oil cost, etc. – To produce more, the firm needs to use more variable inputs which increases the variable costs • Total costs (TC) are sum of (total) fixed and (total) variable costs TC = TFC + TVC Average and Marginal Costs • Average costs (AC) = • cost per unit of output or total cost divided by the number of units produced – They tell us how much each unit of output produced costs on average • From the definitions above, we have three types of average costs (AC) AFC = TFC/Q AVC = TVC/Q ATC = TC/Q or AFC + AVC • Given the definitions of TC, FC, and VC what kind of values and pattern do you think you will see in the AC values? Marginal Cost • Marginal cost (MC) is the extra or additional cost of producing one more unit of output. It tells us by how much total costs (TC) increase if there is an increase in output by one unit • Mathematically, it is calculated by considering the change in TC resulting from a change in one more unit of output or RATE of CHANGE of costs • It can also be calculated by considering the change in TVC that results from a change in one unit of output (because fixed costs do not change with output) New H/O and Pages5/ 6/7 Group VI • REVIEW 1) Explain the shapes of the graphs above • 2) how would you calculate the ACs and MC? (iGroup III: Review: the SR AC and MC Curves • What pattern do you see? – – – – AFC? AVC, ATC and MC? What is vertical distance between ATC and AVC? MC in relation to AVC and ATC? Mathematically, MC is the slope of the TC curve.. TC curve has a changing slope with Q (calculus and derivatives) Review: Relating the cost and product curves: the law of diminishing returns • The MP and AP curves are mirror opposites (inverted shapes) of MC and AVC curves – MP and AP Curves: ∩ Shaped – MC and ATC and AVC Curves: U Shaped – Both are explained by the Law of Diminishing Marginal Returns – When average product/output is increasing, this means that each additional unit of output can be produced with fewer and fewer units of labor. Therefore, the labor cost per unit of output (AVC) falls (and vice versa) – What are some reasons for this? • Falling MC and AC: Specialization of labor; specialization of management; efficiency of capital equipment for large scale production • Rising MC and AC: coordination and monitoring problems; communication and people problems with more labor; Labor to Capital ratio is larger than the optimum More on Profit Break-Even and Shut-Down Points Group III and Vi • Profits: TR – TC • If TR>TC……………………………….. • If TR= TC……………………………….. • But if If TR<TC……………………………….. • Will it shut down? (ie EXIT or QUIT the market) Calculate TOTAL Costs&Revenues P 1Q1 results in…………… P 2Q2 results in………………..…………… Calculate TOTAL Costs&Revenues P 1Q2 results in…………… P 1Q1 results in…………… P 2Q1 results in………………..…………… Break-Even and Shut-Down Prices/Points • Use Pages 8 and 9 of Hand-out. • the short run shut-down price is when P=AVC. • the break-even price is when P=ATC. • a loss-making firm would shut down in the short run when P<AVC • a loss-making firm would shut down and exit (quit) the market in the long run when P<ATC. Production and Costs in the Long Run The Long Run • Let’s now examine the long run relationship between inputs and outputs. In doing so, it is important to bear in mind that all inputs are variable • We are interested to see what happens to output and production when the firm changes all of its inputs Recap: Short Run vs. Long Run • The short run is a time period during which at least one input is fixed and cannot be changed by the firm • The long run is a time period during which the firm can change all its inputs. The firm has no fixed inputs (and thus no fixed costs) and all inputs are variable Production and Costs in the Long Run • We are interested in seeing what happens to output when the firm changes all of its inputs • There are three main patterns of production (in relationship to inputs): – Constant returns to scale – Increasing returns to scale – Decreasing returns to scale H/O page 10 (continued) • Constant returns to scale means that output increases in the same proportion as all inputs: given a percentage change in all inputs, output increases by the same percentage • Increasing returns to scale means that output increases more than in proportion to the increase in all inputs: given a percentage change in all inputs, output increases by a larger percentage • Decreasing returns to scale means that output increases less than in proportion to the increase in all inputs: given a percentage change in all inputs, output increases by a smaller percentage Note! • Note the diminishing returns occur only in the short run, because they show what happens to output as variable inputs is added to a fixed input • It is not to be confused with decreasing returns to scale which occurs in the long run when all inputs are variable Costs of Production in the Long Run • Think of the long run as the firm’s planning horizon. If the firm wants to expand production and keep being competitive, it must think in terms of increasing its fixed inputs, otherwise its production will run into diminishing returns and the market is competitive! • They must simulate the various possible output levels and the respective costs • For example, consider the farmer who produces with two inputs: land and labor. They are planning the long run options which has 4 possible land sizes... Characteristics/Features of the LRATC • Shape of the LRATC curve. Three features: – Economies of Scale – Diseconomies of Scale – Constant Returns to Scale The U-Shape of the LRATC • As you can see, the LRATC is U-Shaped just like the SRATCs. But the reason for this is not to be confused with the Law of Diminishing Marginal Returns. It can be found in economies and diseconomies of scale… • Economies of Scale are decreases in the average costs of production over the long run as a firm increases all its inputs. It explains the downward-sloping portion of the curve: as output increases, and a firm increases all inputs, average cost, or cost per unit of output falls Reasons as to why Economies of Scale Occur • There are several reasons why economies of scale occur: (can also be categorised as • technical; commercial; financial, managerial, and risk-bearing) – Specialization of labor (technical); – as production increases (particularly at the lower level), more workers are employed, allowing for greater labor specialization. This increases efficiency and allows output to be produced at a lower average cost – Specialization of management (managerial) – more production allow for more managers to be employed, each of whom can be specialized in a particular area (e.g. production, sales, finance (continued) – Efficiency of capital equipment (technical) – large machines (e.g. power generator) used to produce large quantities of output are more efficient than smaller ones, allowing average cost to fall. But firms with small volume of output (small amount of inputs) cannot utilize these and thus operate with less efficient machines i.e. Indivisibilities of capital and/or principle of increased dimensions – Indivisibilities of efficient processes (technical) – some production processes such as mass production, assembly lines require large amount of production to be efficient and ATC to fall i.e principle of multiples – Spreading of certain costs such as marketing over large volumes of output (commercial). Costs such as ads, R&D result in lower average cost if they can be spread over large volume of output Diseconomies of Scale • Diseconomies of Scale are increases in the average costs of production over the long run as a firm increases all its inputs. It explains the upward-sloping portion of the curve: as output increases, and a firm increases all inputs, average cost, or cost per unit of output increases • Some of the reasons for diseconomies of scale are as follow… Reasons for Diseconomies of Scale • Coordination and monitoring difficulties – As firm grows larger and larger, there may come a point where its management runs into difficulties coordinating, organizing and cooperating within the firm. This results in inefficiency and causes average costs to increase as output increases • Communication difficulties – A large firm size may have difficulties in communication between various components of the firm, again leading to increase in inefficiency and average cost • Poor worker motivation – As output increases and amount of work increases, workers could start to feel less motivated and less efficient, leading to the average cost rising • … Constant Returns to Scale • Constant returns to scale is the horizontal segment of the LRATC where as output increases (with all inputs increasing), average costs do not change • Now in the real world, firms are eager to take advantage of economies of scale and try to avoid diseconomies of scale. Therefore, they constantly invest in their capital to upgrade their system and to keep the efficiency high … this introduces the concept of Technical or Productive Efficiency • Qmes is where minumum AC starts. If it is quite low, there can be many firms operating efficiently in that market or industry. • But if it is at a high quantity, there are likely to be a small number of firms such as heavy industries like steel, aluminum, etc. and • In the extreme case, there may be only one firm that can operate efficiently, called a natural monopoly