CHAPTER 14 Firms in Competitive Markets Goals Learn what characteristics make a market competitive in this chapter you will Examine how competitive firms decide how much output to produce Examine how competitive firms decide when to shut down production temporarily Examine how competitive firms decide whether to exit or enter a market See how firm behavior determines a market’s short-run and longrun supply curves Outcomes List up to three conditions that characterize a competitive market after accomplishing these goals, you should be able to Locate the supply curve for a competitive firm on a graph of its cost curves Demonstrate why firms temporarily shut down if the price they receive for their output is less than average variable cost Demonstrate why firms exit a market permanently if the price they receive for their output is less than average total cost Show why the long-run supply curve in a competitive market is more elastic than the short-run supply curve 137 138 Chapter 14 Firms in Competitive Markets Strive for a Five The material covered in Chapter 14 is only tested on the microeconomics test. In recent years, students have been asked to produce a cost curve model for a perfectly competitive firm. More specifically, students are required to understand: ■■ Profit maximization MR=MC rule ■■ Profit maximization for perfectly competitive firms and industry ■■ Short-run supply and shutdown decision ■■ Long-run supply and exit decision ■■ Market behavior in the short and long run ■■ Efficiency of perfect competition Key Terms ■■ ■■ ■■ ■■ ■■ ■■ ■■ Price takers—Buyers and sellers in a competitive market that must accept the price that the market determines Competitive market—A market with many buyers and sellers trading identical products so that each buyer and seller is a price taker Average revenue—Total revenue divided by the quantity sold Marginal revenue—The change in total revenue from an additional unit sold Shut down—A short-run decision to cease production temporarily during a specific period of time due to current market conditions Exit—A long-run decision to cease production permanently and leave the market Sunk cost—A cost to which one is already committed and is not recoverable Chapter Overview Context and Purpose Chapter 14 is the second chapter in a five-chapter sequence dealing with firm behavior and the organization of industry. Chapter 13 developed the cost curves on which firm behavior is based. These cost curves are employed in Chapter 14 to show how a competitive firm responds to changes in market conditions. Chapters 15 through 17 will employ these cost curves to see how firms with market power (monopolistic, monopolistically competitive, and oligopolistic firms) respond to changes in market conditions. The purpose of Chapter 14 is to examine the behavior of competitive firms—firms that do not have market power. The cost curves developed in the previous chapter shed light on the decisions that lie behind the supply curve in a competitive market. Chapter Review Introduction In this chapter, we examine the behavior of competitive firms—firms that do not have market power. Firms that have market power can influence the market price of the goods they sell. The cost curves developed in the previous chapter shed light on the decisions that lie behind the supply curve in a competitive market. What Is a Competitive Market? A competitive market has two main characteristics: ■■ There are many buyers and sellers in the market. ■■ The goods offered for sale are largely the same. Chapter 14 Firms in Competitive Markets The result of these two conditions is that each buyer and seller is a price taker. A third condition sometimes thought to characterize perfectly competitive markets is: ■■ Firms can freely enter or exit the market. Firms in competitive markets try to maximize profit, which equals total revenue minus total cost. Total revenue (TR) is P × Q. Because a competitive firm is small compared to the market, it takes the price as given. Thus, total revenue is proportional to the amount of output sold—doubling output sold doubles total revenue. Average revenue (AR) equals total revenue (TR) divided by the quantity of output (Q) or AR = TR/Q. Because TR = P × Q, then AR = (P × Q) / Q = P. That is, for all firms, average revenue equals the price of the good. Marginal revenue (MR) equals the change in total revenue from the sale of an additional unit of output or MR = ∆TR/∆Q. When Q rises by one unit, total revenue rises by P dollars. Therefore, for competitive firms, marginal revenue equals the price of the good. Profit Maximization and the Competitive Firm’s Supply Curve Firms maximize profit by comparing marginal revenue and marginal cost. For the competitive firm, marginal revenue is fixed at the price of the good and marginal cost is increasing as output rises. There are three general rules for profit maximization: ■■ If marginal revenue exceeds marginal cost, the firm should increase output to increase profit. ■■ If marginal cost exceeds marginal revenue, the firm should decrease output to increase profit. ■■ At the profit-maximizing level of output, marginal revenue and marginal cost are exactly equal. Assume that we have a firm with typical cost curves. Graphically, marginal cost (MC) is upward sloping, average total cost (ATC) is U-shaped, and MC crosses ATC at the minimum of ATC. If we draw P = AR = MR on this graph, we can see that the firm will choose to produce a quantity that will maximize profit based on the intersection of MR and MC. That is, the firm will choose to produce the quantity where MR = MC. At any quantity lower than the optimal quantity, MR > MC and profit is increased if output is increased. At any quantity above the optimal quantity, MC > MR and profit is increased if output is reduced. If the price were to increase, the firm would respond by increasing production to the point where the new higher P = AR = MR is equal to MC. That is, the firm moves up its MC curve until MR = MC again. Therefore, because the firm’s marginal-cost curve determines how much the firm is willing to supply at any price, it is the competitive firm’s supply curve. A firm will temporarily shut down (produce nothing) if the revenue that it would get from producing is less than the variable costs (VC) of production. Examples of temporary shutdowns are farmers leaving land idle for a season and restaurants closing for lunch. For the temporary shutdown decision, the firm ignores fixed costs because these are considered to be sunk costs, or costs that are not recover­able because the firm must pay them whether they produce output or not. Mathematically, the firm should temporarily shut down if TR < VC. Divide by Q and get TR/Q < VC/Q, which is AR = MR = P < AVC. That is, the firm should shut down if P < AVC. Therefore, the competitive firm’s short-run supply curve is the portion of its marginal-cost curve that lies above the average-variable-cost curve. In general, beyond the example of a competitive firm, all rational decision makers think at the margin and ignore sunk costs when making economic decisions. Rational decision makers undertake activities where the marginal benefit exceeds the marginal cost. In the long run, a firm will exit the market (permanently cease operations) if the revenue it would get from producing is less than its total costs. If the firm exits the industry, it avoids both its fixed and variable costs, or total costs. Mathematically, the firm should exit if TR < TC. Divide by Q and get TR/Q = TC/Q, which is AR = MR = P < ATC. That is, the firm should exit if P < ATC. Therefore, the competitive firm’s long-run supply curve is the portion of its marginal-cost curve that lies above the average-total-cost curve. A competitive firm’s profit = TR − TC. Divide and multiply by Q and get profit = (TR/Q − TC/Q) × Q or profit = (P − ATC) × Q. If price is above ATC, the firm is 139 140 Chapter 14 Firms in Competitive Markets profitable. If price is below ATC, the firm generates losses and would choose in the long run to exit the market. The Supply Curve in a Competitive Market In the short run, the number of firms in the market is fixed because firms cannot quickly enter or exit the market. Therefore, in the short run, the market supply curve is the horizontal sum of the portion of the individual firm’s marginal-cost curves that lie above their average-variable-cost curves. That is, the market supply curve is simply the sum of the quantities supplied by each firm in the market at each price. Because the individual marginal-cost curves are upward sloping, the short-run market supply curve is also upward sloping. In the long run, firms are able to enter and exit the market. Suppose all firms have the same cost curves. If firms in the market are making profits, new firms will enter the market, increasing the quantity supplied and causing the price to fall until economic profits are zero. If firms in the market are making losses, some existing firms will exit the market, decreasing the quantity supplied and causing the price to rise until economic profits are zero. In the long run, firms that remain in the market must be making zero economic profit. Because profit = (P − ATC) × Q, profit equals zero only when P = ATC. For the competitive firm, P = MC and MC intersects ATC at the minimum of ATC. Thus, in the long-run equilibrium of a competitive market with free entry and exit, firms must be operating at their efficient scale. Also, because firms enter or exit the market if the price is above or below minimum ATC, the price al­ways returns to the minimum of ATC for each firm but the total quantity supplied in the market rises and falls with the number of firms. Thus, there is only one price consistent with zero profits, and the long-run market supply curve must be horizontal (perfectly elastic) at that price. Competitive firms stay in business even though they are making zero economic profits in the long run. Recall that economists define total costs to include all the opportunity costs of the firm, so the zero-profit equilibrium is compensating the owners of the firm for their time and their money invested. In the short run, an increase in demand increases the price of a good and existing firms make economic profits. In the long run, this attracts new firms to enter the market causing a corresponding increase in the market supply. This increase in supply reduces the price to its original level consistent with zero profits but the quantity sold in the market is now higher. Thus, if at present firms are earn­ing high profits in a competitive industry, they can expect new firms to enter the market and prices and profits to fall in the future. Although the standard case is one where the long-run market supply curve is perfectly elastic, the long-run market supply curve might be upward sloping for two reasons: ■■ If an input necessary for production is in limited supply, an expansion of firms in that industry will raise the costs for all existing firms and increase the price as output supplied increases. ■■ If firms have different costs (some are more efficient than others) in order to induce new less ef­fi cient firms to enter the market, the price must increase to cover the less efficient firm’s costs. In this case, only the marginal firm earns zero economic profits while more efficient firms earn profits in the long run. Regardless, because firms can enter and exit more easily in the long run than in the short run, the long-run market supply curve is more elastic than the short-run market supply curve. Conclusion: Behind the Supply Curve The supply decision is based on marginal analysis. Profit-maximizing firms that supply goods in competitive markets produce where marginal cost equals price equals minimum average total cost. Helpful Hints 1. We have determined that, in the short run, the firm will produce the quantity of output where P = MC as long as the price equals or exceeds average variable cost. An additional way to see the logic of this behavior is to recognize that because fixed Chapter 14 Firms in Competitive Markets costs must be paid regardless of the level of production, any time the firm can at least cover its variable costs, any additional revenue beyond its variable costs can be applied to its fixed costs. Therefore, in the short run, the firm loses less money than it would if it shut down if the price exceeds its average variable costs. As a result, the short-run supply curve for the firm is the portion of the marginal-cost curve that is above the average-variable-cost curve. 2. Recall that rational decision makers think at the margin. The decision rule for any action is that we should do things for which the marginal benefit exceeds the marginal cost and continue to do that thing until the marginal benefit equals the marginal cost. This decision rule translates directly to the firm’s production decision in that the firm should continue to produce additional output until marginal revenue (the marginal benefit to the firm) equals marginal cost. 3. In this chapter, we derived the equation for profit as profit = (P − ATC) × Q. It helps to remember that, in words, this formula says that profit simply equals the average profit per unit times the number of units sold. This holds true even in the case of losses. If the price is less than average total cost, then we have the average loss per unit times the number of units sold. Self-Test Multiple-Choice Questions Table 14-1 Quantity Total Revenue 0 $0 1 $7 2 $14 3 $21 4 $28 1. Refer to Table 14-1. The price and quantity relationship in the table is most likely that faced by a firm in a a. price discriminating monopoly market. b. single price monopoly market. c. oligopoly market. d. monopolistically competitive market. e. perfectly competitive market. 2. Which of the following is NOT a characteristic of a perfectly competitive market? a. Firms are price takers. b. Firms have difficulty entering the market. c. There are many sellers in the market. d. There are many buyers in the market. e. Goods offered for sale are homogeneous. 141 Chapter 14 Firms in Competitive Markets Table 14-2 Quantity Total Revenue Total Cost 0 $0 $10 1 $9 $14 2 $18 $19 3 $27 $25 4 $36 $32 5 $45 $40 6 $54 $49 7 $63 $59 8 $72 $70 9 $81 $82 3. Refer to Table 14-2. At which quantity of output is marginal revenue equal to marginal cost? a. 2 b. 3 c. 6 d. 8 e. 9 4. Refer to Table 14-2. If the firm finds that its marginal cost is $11, it should a. increase production to maximize profit. b. increase the price of the product to maximize profit. c. advertise to attract additional buyers to maximize profit. d. reduce production to increase profit. e. keep production at the current level. Figure 14-1 Price 142 MC 11 10 9 8 7 6 5 4 3 2 1 ATC AVC P1 P2 P3 P4 1 2 3 4 5 6 7 8 9 10 11 12 Quantity 5. Refer to Figure 14-1. If the market price is P3, in the short run, the perfectly competitive firm will earn a. positive economic profits. b. negative economic profits but will try to remain open. c. negative economic profits and will shut down. d. zero economic profits. e. break-even profits. Chapter 14 Firms in Competitive Markets 6. Refer to Figure 14-1. Which of the four prices corresponds to a perfectly competitive firm earning negative economic profits in the short run and shutting down? a. P1 only b. P2 only c. P3 only d. P4 only e. P3 and P4 Price Figure 14-2 MC ATC P4 P2 AVC P5 P3 P1 Q1 Q2 Q3 Q4 Quantity 7. Refer to Figure 14-2. When market price is P3, a profit-maximizing firm’s total revenue a. can be represented by the area P3 x Q3. b. can be represented by the area P3 x Q2. c. can be represented by the area (P3-P2) x Q3. d. can be represented by the area (P3-P2) x Q2. e. is zero. 8. Refer to Figure 14-2. When market price is P3, a profit-maximizing firm’s profit a. can be represented by the area P3 x Q3. b. can be represented by the area P3 x Q2. c. can be represented by the area (P3-P2) x Q3. d. can be represented by the area P3 x Q1. e. is zero. 9. Refer to Figure 14-2. When market price is P3, a profit-maximizing firm’s total costs a. can be represented by the area P2 x Q2. b. can be represented by the area P3 x Q2. c. can be represented by the area (P3-P2) x Q3. d. can be represented by the area P3 x Q3. e. are zero. 143 144 Chapter 14 Firms in Competitive Markets 10. A firm in a competitive market has the following cost structure. Output Total Cost 0 $5 1 $10 2 $12 3 $15 4 $24 5 $40 If the market price is $4, this firm will a. produce two units in the short run and exit in the long run. b. produce three units in the short run and exit in the long run. c. produce four units in the short run and exit in the long run. d. shut down in the short run and exit in the long run. e. produce five units in the short run and the long run. 11. A firm in a competitive market has the following cost structure. Output Total Costs 0 $1 1 $6 2 $9 3 $10 4 $17 5 $26 What is the lowest price at which this firm might choose to operate? a. $1 b. $2 c. $3 d. $4 e. $5 Chapter 14 Firms in Competitive Markets (a) (b) Price Price Figure 14-3 MC S0 ATC P2 P2 P1 P1 P0 P0 B A C D D0 Q1 Q2 Quantity S1 QA QB QC QD D1 Quantity 12. Refer to Figure 14-3. Assume that the market starts in equilibrium at point A in panel (b). An increase in demand from D0 to D1 will result in a. a new market equilibrium at point D. b. an eventual increase in the number of firms in the market and a new long-run equilibrium at point C. c. rising prices and falling profits for existing firms in the market. d. falling prices and falling profits for existing firms in the market. e. a new long-run market equilibrium at point B. Free Response Questions 1. Using correctly labeled side-by-side graphs for a market and a firm, graph a firm earning short-run economic profits. Can this scenario be maintained in the long run? Explain. 2. Using cost curve analysis, explain the derivation of a perfectly competitive firm’s short-run supply curve. 145 Chapter 14 Firms in Competitive Markets Solutions Multiple-Choice Questions 1. e TOP: Competitive markets 2. b TOP: Marginal revenue / Average revenue 3. c TOP: Profit maximization 4. d TOP: Profit maximization 5. b TOP: Supply curve 6. d TOP: Supply curve 7. b TOP: Total revenue 8. e TOP: Profit 9. b TOP: Total cost 10. b TOP: Losses 11. c TOP: Supply curve 12. b TOP: Long-run supply curve Supply Price Free Response Questions 1. In a competitive market where firms are earning economic profits, new firms will have an incentive to enter the market. This entry will expand the number of firms, increase the quantity of the good supplied, and drive down prices and profits. Entry will cease once firms are producing the output level where price equals the minimum of the average-total-cost curve, meaning that each firm earns zero economic profits in the long run. Price 146 Supply P0 Demand Demand Quantity Quantity Market Individual Firm TOP: Profit maximization 2. A perfectly competitive firm’s short-run supply curve is the rising portion of its marginal cost curve above the variable cost curve. The supply curve for a perfectly competitive firm is represented by the various quantities the firm would willingly put on the market at each possible alternative price. In the short run, a perfectly competitive firm would operate and produce where MC=P, as long as that occurs above average variable cost. If the price were below average variable cost, the firm would shut down in the short run. TOP: Perfectly competitive firms