Lesson 4 COST ANALYSIS Cost analysis - assumes a great significance in all major business decisions because the term ‘cost’ has different meaning under different settings and is subject to varying interpretations. Analysis of cost is an important factor in almost all business analysis and business decision making. AVERAGE COST - total cost of producing per unit of commodity. It can be found out as follows AC= AFC + AVC AC= Total cost/no.of units produced COST CONCEPT Private costs are those which are actually incurred by a firm on the purchase of goods and services from the market. For a firm, all actual costs both explicit and Implicit are private costs. Social Costs refers to the total cost borne by the society due to production of a commodity Incremental costs are closely related to marginal costs - refers to the total additional cost associated with the expansion in output. Sunk Costs are those which cannot be altered, increased or decreased by varying the rate of output. - defined as expenses that have already been incurred and cannot be reversed or recovered English professor Colin Drury defines sunk costs "costs that have been created by a decision made in the past and that cannot be changed by any decision that will be made in the future" (Drury, 2013). - expense that has been incurred in the past and cannot be recovered. - It is a past investment of resources that offers no future returns. EXAMPLE: 1. Salary for employees who have been laid off 2. Research and development costs 3. Advertising and marketing expenses 4. Legal and accounting fees 5. Machinery and equipment Short run costs are costs that vary with variation in output. - are the same as variable costs Long run costs are costs that are incurred on fixed assets like plant, machinery, etc Direct cost are the costs that have direct relationship with a unit of operation. - This includes items such as software, equipment, labor and raw materials. - Expenses that directly go into producing goods or providing services 1. Direct Labor 2. Direct Materials 3. Manufacturing Indirect cost are those cost whose cost can’t be easily traced to a product such as electricity stationary and other office expenses - General business expenses that keep you operating 1. Rent 2. Utilities 3. General office TOTAL COST is the actual money spent to produce a particular quantity of output. - It is the summation of fixed and variable costs TC = TFC + TVC TFC (Total Fixed Cost): i.e the cost of plant, building, equipment etc. remain fixed with a change in output. TVC (Total Variable Cost): i.e the cost of labour, raw material etc varies with the variation in output. AFC (Average fixed Cost) - Fixed cost of producing per unit of the commodity. AFC= total fixed cost / no. of units produced. AVC (Average Variable Cost) - Variable cost of producing per unit of the commodity. AVC= total variable cost / no. of units produced. MARGINAL COST is the additional to total cost when one more unit of output is produced . MC = change in total cost / change in total output Cost-output Relationship has 2 aspects: Cost-output relationship in the short run, Cost-output relationship in the long run SHORT RUN - period which doesn’t permit alterations in the fixed equipment (machinery , building etc.) & in the size of the organization LONG RUN - period in which there is sufficient time to alter the equipment (machinery, building, land etc.) - size of the org. output can be increased without any limits being placed by the fixed factors of production Cost-output Relationship In The Short Run Short Run may be studied in terms of 1. Average Fixed Cost 2. Average Variable Cost 3. Average Total Cost Total, average & marginal cost 1. Total cost (TC) = TFC + TVC, rise as output rises 2. Average cost (AC) = TC / output 3. Marginal cost (MC) = change in TC as a result of changing output by one unit Fixed cost & variable cost 1. Total fixed cost (TFC) = cost of using fixed factors; cost that does not change when output is changed, e.g. 2. Total variable cost (TVC) = cost of using variable factors ; cost that changes when output is changed, Average Fixed Cost and Output The greater the output, the lower the fixed cost per unit, i.e. the average fixed cost. Total fixed costs remain the same & do not change with a change in output. Average Total cost and output Average total cost, also known as average costs, would decline first & then rise upwards. Average fixed cost + average variable cost. Average fixed cost continues to fall with an increase in output while AVC first declines & then rises. So, as AVC declines the ATC will also decline. But after a certain point the AVC will rise. Production Rules for the Long Run If selling price > ATC (or TR > TC): Continue to produce. Maximize profit by producing where MR = MC. If selling price < ATC (or TR < TC): There will be a continual loss. Sell the fixed assets to eliminate fixed costs. Reinvest money is a more profitable alternative. Economies of Scale are the cost advantages that a firm obtain due to expansion. Specialization Leads to Economies of Scale As labor is divided amongst workers, workers are able to focus on a few or even one task. The more they focus on one task, the more efficient they become at this task, which means that less time and less money is involved in producing a good. Other sources of economies of scale purchasing in bulk (bulk buying of materials through long-term contracts) managerial (increasing the specialization of managers) financial (obtaining lower-interest charges when borrowing from banks and having access to a greater range of financial instruments), marketing (spreading the cost of advertising over a greater range of output in media markets), technological (taking advantage of returns to scale in the production function). RELATIONSHIP BETWEEN MARGINAL AND AVERAGE COST The marginal costs and average costs are related. When marginal cost exceeds average cost, average cost must be rising. When marginal cost is less than average cost, average cost must be falling. The position of marginal cost relative to average total cost tells us whether average total cost is rising or falling. Relationship between Marginal Cost and Average cost If MC>ATC, then ATC is rising If MC>AVC, then AVC is rising If MC< ATC, then ATC is falling If MC<AVC, then AVC is falling If MC=AVC and MC=ATC, then AVC and ATC are at there minimum points LONG-RUN COSTS costs over a long period of time. They permit for enough change in all factors of production. Thus firms can produce more. Supply of a commodity is adjusted to its demand. LONG RUN COST CURVES All costs are variable in the long run. There are only average variable cost in long run, since all factors are variable. It is also called as planning curve or envelope or scale curve. Diseconomies of Scale: Increase in long-term average cost of production as the scale of operations increases beyond a certain level. After a certain sufficiently large size these inefficiencies of management more than offset the economies of scale and thereby bring about the rise in long run average cost & make the LAC curve upward sloping. Determinants of Costs Factors determining the cost are (a) Size of plant: There is an inverse relationship between size of plant and cost. - As size of plant increases, cost falls and vice versa. (b) Level of Output: There is a direct relationship between output level and cost. - More the level of output, more is the cost ( i. e., total cost) and vice Versa. (c) Price of Inputs: There is a relationship between price of inputs and cost. - As the price of inputs rises, cost rises and vice versa. (d) State of technology: More modern and upgraded the technology implies lesser cost and vice versa. (e) Management and administrative efficiency: - Efficiency and cost are inversely related. - The more the efficiency in management and administration the better will be the product and less will be the cost. - Cost will rise in case of inefficiencies in management and administration. Break-Even Analysis also known as profit contribution analysis is an important analytical technique used to study the relationship between the total costs (TC), Total revenue (TR) and total profits and losses over the whole range of stipulated output. Break-even analysis is a technique of having a preview of profit prospects and a tool of profit planning. - It integrates the cost and revenue estimates to ascertain the profits and losses associated with different levels of output. To illustrate the break-even analysis under linear cost and revenue conditions, let us assume linear cost and linear revenue functions are given as follows. Cost function: TC = 100 + 10 Q………..eq. (1) Revenue function: TR = 15 Q……..……eq. (2) The cost function given in eq. (1) => firm’s TFC (total fixed cost) = 100 and its variable cost varies at a constant rate of 10 per unit in response to increase in output. The revenue function given in fig. implies that price for the firm’s product is given in the market at 15 per unit of sale. Firm Behavior Under Perfect Competition Firms Maximize Profit at the quantity where the difference between Total Revenue and Total Cost is greatest. At this profit-maximizing level of output, MR = MC. Firm Behavior In economics and business, "firm behavior" refers to the actions and decisions made by a company, particularly concerning resource allocation, production, pricing, and market strategies, often analyzed through the lens of profit maximization and other objectives. Economic Perspective: Profit Maximization: Firms are often assumed to act in a way that maximizes their profits, though behavioral models also consider other factors. Resource Allocation: Firms make decisions about how to allocate their resources (labor, capital, materials) to achieve their goals. The line TFC shows the total fixed cost at 100 for a Certain level of output. The line TVC shows the variable cost rising with a slope. The line TC has been obtained by plotting the TC function. The line TR shows the total revenue. The line TR & TC lines intersect at point B At point B, Q = 20 ;firm’s total cost =total revenue At Q=20, TC breaks-even with TR. Point B, therefore the break-even point and Q= 20 is break-even output. Below this level of output, TC exceeds TR. Vertical difference TC-TR known as operating loss. Beyond Q=20, TR>TC and TR-TC is known as operating profit. It may be noted that a firm producing a commodity under cost and revenue conditions given in above eq.(1) & (2). Must produce at least 20 units to make its total cost And total revenue break-even. At break-even point, TR = TC Production Decisions: Firms decide what to p roduce, how much to produce, and how to produce it efficiently. Pricing Strategies: Firms determine how to price their products or services to attract customers and maximize profits. Market Strategies: Firms develop strategies to enter, compete in, and exit markets. Market - the concept of a market is any structure that allows buyers and sellers to exchange any type of goods, services and information. - The exchange of goods or services, with or without money, is a transaction. 1. Goods and service 2. Buyers and sellers 3. A place or region 4. Given price Perfect Competitiven Market Classification of Market Break–even analysis under non-linear function TFC line shows the fixed cost at OF and the vertical distance between TC and TFC measures the total variable cost (TVC). The curve TR shows the total revenue at different Output & price. The vertical distance between the TR and TC Measure profit/loss. TR & TC curves intersect at two points, B1 & B2, Where TR = TC. OQ1 corresponding to break-even point B1 and OQ2 corresponding to break-even point B2 ;TR > TC. Profitable range lies between OQ1 and OQ2 units of output Main features of Perfect Competition Market Large no. of buyers and sellers • Each sellers sell a small portion total • Single sellers has no influence on market • Sellers are price taker Homogeneous product • Identical product • Same price and cost Free entry and exit • There is no government or other control (high cost of entry; gov't regulations) The Competitive Firm The Firm’s Demand Curve under Perfect Competition • Perfectly Elastic (Horizontal) • Can sell as much as it wants at the market price. SHORT RUN PROFIT MAXIMIZATION Two Approaches... First: Total Revenue - Total Cost Approach The Decision Process: Should the firm produce? What quantity should be produced? What profit or loss will be realized? The Decision Rule: Produce in the short-run if the firm can realize 1) a profit (or) 2) a loss less than its fixed costs DEMAND AS SEEN BY A PURELY COMPETITIVE SELLER Perfectly Elastic Demand Price Taker Role • Total Revenue = P x Q • Average Revenue = P • Marginal Revenue = P SHORT RUN PROFIT MAXIMIZATION Two Approaches First: Total Revenue - Total Cost Approach Second: Marginal Revenue - Marginal Cost Approach MR = MC Rule The Competitive Firm Short-Run Equilibrium for the Perfectly Competitive Firm • Marginal revenue = Price • Profit-maximizing level of output: MC = MR Three Characteristics of MR=MC Rule: The rule applies only if producing is preferred to shutting down Rule applies to all markets Rule can be restated P=MC So, a perfectly competitive firm should maximize profit by producing the output where •Price = Marginal Cost •D = MR = AR at all levels of output •D = MR = AR = MC at the equilibrium level of output Why is profit maximised when MR = MC? At production levels of MR = MC, the difference between the total revenue and total cost is maximum which serves as our requirement for producer’s equilibrium and leads to profit maximization. A firm maximizes profit when marginal revenue (MR) equalsMarginal cost (MC) because producing an additional unit where MR > MC adds to profit, while producing where MR < MC reduces profit, and at the point where MR = MC, there's no further profit to be gained or lost. Monopoly Market Monopoly Market Pure monopoly exists when a single firm is the sole producer of a product for which there are no close substitutes. Examples: public utilities and professional sports leagues. Characteristics of Monopoly A single seller: the firm and industry are synonymous. Unique product: no close substitutes for the firm’s product. The firm is the price maker: the firm has considerable control over the price because it can control the quantity supplied. Entry or exit is blocked. Firm and industry: In a monopoly, market, a firm is itself the industry. Therefore, there is no distinction between a firm and an industry in such a market. Monopoly’s Marginal Revenue When a monopoly increases the amount it sells, it has two effects on total revenue (P x Q). The output effect—more output is sold, so Q is higher. The price effect—price falls, so P is lower. Price and Output Decision of a Simple Monopoly A monopoly maximizes profit by producing the quantity at which marginal revenue equals marginal cost. It then uses the demand curve to find the prices that will induce consumers to buy that quantity. Why Monopolies Arise The fundamental cause of monopoly is barriers to entry. Barriers to entry have three sources: Ownership of key resource - Exclusive ownership of an important resource that cannot be readily duplicated is a potential source of monopoly. Legal barriers by government - Patent and copyright laws are a major source of government-created monopolies. - Governments also restrict entry by giving a single firm the exclusive right to sell a particular good in certain markets. - This is by far the most common source of a monopoly. Large economies of scale - An industry is a natural monopoly when a single firm can supply a good or service to an entire market at a smaller cost than could two or more firms - Because of economies of scale, the minimum efficient scale of one firm’s plant is so large that only one firm can supply the market efficiently. Profit –Maximizing Output The MR = MC rule will still tell the monopolist the profit – maximizing output. The monopolist cannot charge the highest price possible, it will maximize profit where TR minus TC is the greatest. This depends on quantity sold as well as on price. The Monopolist’s Profit The monopolist will receive economic profits as long as price is greater than average total cost. (P>ATC) Demand Curve in Monopoly Monopoly demand is the industry or market demand and is therefore downward sloping. Price will exceed marginal revenue because the monopolist must lower price to boost sales and cannot price discriminate in most cases. The marginal revenue curve is below the demand curve. (MR<D) Profit –Maximizing Output If MR > MC, the monopolist gains profit by increasing output If MR < MC the monopolist gains profit by decreasing output If MR = MC, The monopolists is maximizing Profit Monopoly market in short-run Three situation can be possible for a firm or Industry in short run Super-normal profits = Where P > ATC Normal profits = P = ATC Losses / minimum losses = P< ATC but P > AVC Shut down = Where P < AVC Monopoly market in Long-run In the Long-run, the monopolists can remain in Business only if he is able to earn super normal profits. If he was incurring losses in the short run, he has Enough time to make changes in his existing plant in the long run so as to maximize his profits. The scale of his plant depends upon the position of The demand curve (AR) and its corresponding MR curve
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