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CHAPTER 12 Firms in Perfectly Competitive Markets Chapter Outline and Learning Objectives 12.1 Perfectly Competitive Markets 12.2 How a Firm Maximizes Profit in a Perfectly Competitive Market 12.3 Illustrating Profit or Loss on the Cost Curve Graph 12.4 Deciding Whether to Produce or to Shut Down in the Short Run 12.5 The Entry and Exit of Firms in the Long Run 12.6 Perfect Competition and Efficiency Pure Competition Monopolistic Competition Oligopoly Monopoly Number of Firms Pure Competition Monopolistic Competition Many small Many small Oligopoly Monopoly A few large one Considers action or reaction of other firms Product type Homogeneous Differentiated Diff or Homog one Need to stress differences? Barriers to Entry none none large large Long run profits possible? Price Taker/Maker taker taker/seeker maker maker Ability to influence market price? Non-price Competition no yes yes As important as price? yes • Entrepreneurs are continually introducing new products or new ways of selling products, which—when successful—enable them to earn economic profits in the short run. • But in the long run, competition among firms forces prices to the level where they just cover the costs of production. Perfect Competition in Farmers’ Markets • Demand for organically grown food increased at a rate of 20 percent per year, Prices rose More farmers have begun participating in farmers’ markets. • Supply increased, • Prices dropped • Profits from farmers’ markets is no longer higher than what they earn selling to supermarkets. Perfectly competitive market: 1. many buyers and sellers, 2. all firms selling identical products, 3. no barriers to new firms entering the market. 4. Price takers. Firms are unable to affect the market price. A good crop from one wheat farmer, or if one wheat farmer stops growing wheat altogether, the market supply curve for wheat will not shift by enough to change the equilibrium price by even 1 cent. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Perfect Competition (many small firms) • • • • • Market supply & demand determine price. The firm’s demand will be perfectly elastic. Firms can sell as much as they want at P Above P, they lose business Below P they lose revenue. Firm Price Price Firms must take the market price P Market demand Market Market supply Firm’s demand Output P Output Profit = Total revenue - total cost. Average revenue (AR) - TR / Quantity sold = Price Marginal revenue (MR) The change in total revenue from selling one more unit of a product, also = Price AR = MR = Price = Demand © 2013 Pearson Education, Inc. Publishing as Prentice Hall Farmer Parker’s Revenue from Wheat Farming Number of Bushels (Q) Market Price (per bushel) (P) 0 1 2 3 4 5 6 $4 4 4 4 4 4 4 Total Revenue (TR) $0 4 8 12 16 20 24 Average Revenue (AR) — $4 4 4 4 4 4 AR = MR = Price © 2013 Pearson Education, Inc. Publishing as Prentice Hall Marginal Revenue (MR) — $4 4 4 4 4 4 Determining the Profit-Maximizing Level of Output Quantity (bushels) (Q) Total Revenue (TR) Total Cost (TC) 0 1 2 3 4 5 6 7 8 9 10 $0.00 4.00 8.00 12.00 16.00 20.00 24.00 28.00 32.00 36.00 40.00 $2.00 5.00 7.00 8.50 10.50 13.00 16.50 21.50 28.50 38.00 50.50 Profit (TR−TC) −$2.00 −1.00 1.00 3.50 5.50 7.00 7.50 6.50 3.50 −2.00 −10.50 Marginal Revenue (MR) Marginal Cost (MC) — $4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 4.00 — $3.00 2.00 1.50 2.00 2.50 3.50 5.00 7.00 9.50 12.50 Maximum Profit, or MR = MC © 2013 Pearson Education, Inc. Publishing as Prentice Hall Maximum Profit Profit is maximized where the vertical distance between total revenue and total cost is the largest. This happens at an output of 6 bushels. © 2013 Pearson Education, Inc. Publishing as Prentice Hall MR = MC MR = $4 per bushel. Profit is maximized by producing up to the point where the marginal revenue of the last bushel produced is equal to its marginal cost, or MR = MC. The closest Farmer Parker can come is to produce 6 bushels of wheat. Once marginal cost is greater than marginal revenue profits begin to decline. . © 2013 Pearson Education, Inc. Publishing as Prentice Hall Conclusions: 1. The profit-maximizing level of output: a. where TR – TC is the greatest. b. where MR = MC. 2. In a perfectly competitive industry, P = MR. So, we can restate the MR = MC condition as P = MC. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Showing a Profit on the Graph A firm maximizes profit where MR = MC. Price - average total cost = profit per unit of output. Total profit is equal to P – ATC time quantity of output. The green-shaded rectangle, which has a height equal to (P − ATC) and a width equal to Q. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Determining Profit-Maximizing Price and Quantity a. Suppose the current equilibrium price in the Output per Day basketball market is $12.50. To maximize profit, how many basketballs will Andy 0 produce? 1 What price will he charge? 2 And how much profit (or loss) will he make? 3 Draw a graph to illustrate your answer. 4 Label clearly Andy’s demand, ATC, AVC, MC, and 5 MR curves; 6 the price he is charging; 7 the quantity he is producing; 8 and the area representing his profit (or loss). 9 © 2013 Pearson Education, Inc. Publishing as Prentice Hall Total Cost $10.00 20.50 24.50 28.50 34.00 43.00 55.50 72.00 93.00 119.00 Determining Profit-Maximizing Price and Quantity Step 1: Calculate Andy’s marginal cost, average total cost, and average variable cost. Andy will produce the level of output where marginal revenue is equal to marginal cost. We can calculate costs from the information given in the table to draw the required graph. Average total cost (ATC) equals total cost (TC) divided by the level of output (Q). Average variable cost (AVC) equals variable cost (VC) divided by output (Q). To calculate variable cost, recall that total cost equals variable cost plus fixed cost. When output equals zero, total cost equals fixed cost. In this case, fixed cost equals $10.00. Output per Day (Q) Total Cost (TC) Fixed Cost (FC) Variable Cost (VC) Average Total Cost (ATC) Average Variable Cost (AVC) Marginal Cost (MC) 0 $10.00 $10.00 $0.00 — — — 1 20.50 10.00 10.50 $20.50 $10.50 $10.50 2 24.50 10.00 14.50 12.25 7.25 4.00 3 28.00 10.00 18.00 9.33 6.00 3.50 4 34.00 10.00 24.00 8.50 6.00 6.00 5 43.00 10.00 33.00 8.60 6.60 9.00 6 55.50 10.00 45.50 9.25 7.58 12.50 7 72.00 10.00 62.00 10.29 8.86 16.50 8 93.00 10.00 83.00 11.63 10.38 21.00 9 119.00 10.00 109.00 13.22 12.11 26.00 © 2013 Pearson Education, Inc. Publishing as Prentice Hall or Calculate Andy’s marginal cost, and average total cost Andy will produce the level of output where MR = MC Average total cost (ATC) equals total cost (TC) divided by output (Q). Step 1: Output per Day (Q) Total Cost (TC) Average Total Cost (ATC) 0 $10.00 1 20.50 $20.50 $10.50 $12.50 2 24.50 12.25 4.00 12.50 3 28.00 9.33 3.50 12.50 4 34.00 8.50 6.00 12.50 5 43.00 8.60 9.00 12.50 6 55.50 9.25 12.50 12.50 7 72.00 10.29 16.50 12.50 8 93.00 11.63 21.00 12.50 9 119.00 13.22 26.00 12.50 — Marginal Cost (MC) Marginal Revenue (MR) — Step 2: MR = MC when Andy produces 6 basketballs per day. Profits per unit = MR – ATC at 6 units. (12.50 – 9.25 = 3.25). His total Profits equal per unit profits times output )3.25 x 6 = 19.50 or TR – TC = 6 x 12.50 – 55.50 = $75.00 − $55.50 = $19.50. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Graphing Profits MR = MC when Andy produces 6 basketballs per day. Andy’s profits are equal to his marginal revenue minus his average total costs times his output. ($12.50 – 9.25) x 6 = $19.50. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Suppose the equilibrium price of basketballs falls to $6.00. Now how many basketballs will Andy produce? What price will he charge? And how much profit (or loss) will he make? Draw a graph to illustrate this situation, using the instructions in part (a). © 2013 Pearson Education, Inc. Publishing as Prentice Hall Output per Day Total Cost 0 $10.00 1 20.50 2 24.50 3 28.50 4 34.00 5 43.00 6 55.50 7 72.00 8 93.00 9 119.00 Andy will still produce the level of output where MR = MC, but MR = 6 Output per Day (Q) Total Cost (TC) Average Total Cost (ATC) 0 $10.00 1 20.50 $20.50 $10.50 $6.00 2 24.50 12.25 4.00 6.00 3 28.00 9.33 3.50 6.00 4 34.00 8.50 6.00 6.00 5 43.00 8.60 9.00 6.00 6 55.50 9.25 12.50 6.00 7 72.00 10.29 16.50 6.00 8 93.00 11.63 21.00 6.00 9 119.00 13.22 26.00 6.00 — Marginal Cost (MC) Marginal Revenue (MR) — Now MR = MC when Andy produces 4 basketballs per day. Profits per unit = MR – ATC at 4 units. (6 – 8.50 = -2.50). His total losses equal per unit losses times output )-2.50 x 4 = -10.00 or TR – TC = 4 x 6.00 – 34.00 = $24.00 − $34.00 = -$10.00. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Graphing Losses MR = MC when Andy produces 4 basketballs per day. Andy’s losses are equal to his marginal revenue minus his average total costs times his output. ($6.00 – 8.50) x 4 = -$10.00. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Remember That Firms Maximize Their Total Profit, Not Their Profit per Unit Only when the firm has expanded production to Q2 will it have produced every unit for which marginal revenue is greater than marginal cost. At that point, it will have maximized profit. © 2013 Pearson Education, Inc. Publishing as Prentice Hall Equilibrium Price Operating at Minimum ATC ATC MC $6 $5 $4 $3 Price = Demand = MR $2 $1 0 10 20 30 40 50 60 Quantity Short Run Profits Earn economic profit MR (P) > ATC Normal Profit MR (P) = ATC Short Run Losses Firm Price MC P3 MR Firm covers AVC, but not AFC: MR (P) < ATC, but MR > AVC Shut Down Firm can’t cover AVC, minimize losses by shutting down MR (P) < AVC ATC AVC Output Case 1: Prices rise Profits? Entry or Exit? Supply An Increase in Market Demand • Consider the market for toothpicks. A new candy that sticks to teeth causes the market demand for toothpicks to increase from D1 to D2 … market price increases to P2 … shifting the firm’s demand curve upward. At the higher price, firms expand output to q2 and earn short-run profits. • Economic profits will draw competitors into the industry, shifting the market supply curve from S1 to S2. Firm Price Price S1 MC ATC S2 P2 d2 P2 P1 d1 P1 q1 q2 Output Market D1 D2 Q1 Q2 Output The Adjustment • After the increase in market supply, a new equilibrium is established at the original market price P1 and a larger rate of output (Q3). • As the market price returns to P1, the demand curve facing the firm returns to its original level. • In the long-run, economic profits are driven down to zero. Firm Price Price S1 MC ATC P2 d2 P1 d1 q1 q2 Output Market S2 P2 Slr P1 D1 D2 Q1 Q2 Q3 Output Price $6 1. Price goes up 2. Firms enter, Supply increases 3. Price goes down ATC MC $5 $4 SR Profits $3 $2 $1 0 Price = Demand = MR 4. No LR Profits 10 20 30 40 50 60 Quantity Case 2: Prices fall Profits? Entry or Exit? Supply A Decrease in Demand • If, instead, something causes market demand for toothpicks the market price falls to P2 to decrease from D1 to D2 … shifting the firm’s demand curve downward, leading to a reduction in output to q2. The firm is now making losses. • Short-run losses cause some competitors to exit the market, and others to reduce the scale of their operation, shifting the market supply curve from S1 to S2. Firm Price Price S2 S1 Market MC ATC P1 d1 P1 P2 d2 P2 q2 q1 Output D2 Q2 Q1 D1 Output The Adjustment: • After the decrease in market supply, a new equilibrium is established at the original market price P1 and a smaller rate of output Q3. • As the market price returns to P1, the demand curve facing the firm returns to its original level. • In the long-run, economic profit returns to zero. • Note the long-run market supply curve is flat Slr. Firm Price Price S2 S1 Market MC ATC P1 d1 P1 P2 d2 P2 q2 q1 Output Slr D2 Q3 Q2 Q1 D1 Output Price $6 1. Price goes down 2. Firms leave, Supply decreases 3. Price goes up ATC MC $5 $4 P = D = MR $3 $2 $1 0 SR Losses 4. No LR Losses 10 20 30 40 50 60 Quantity The Supply Curve • The marginal cost curve (MC) is the firm’s supply curve. • Below MC = AVC, the firm will shut down Output = 0 below P1,, • At P2 MR = MC at q2. • At P3 MR = MC at q3. Price Firm MC is the firm’s Supply Curve MC ATC P3 AVC P2 P1 q1 q2 q3 Output Short Run Profits Cause firms to enter the market Supply shifts out and price drops Short Run Losses Cause firms to leave the market Supply shifts in and price rises Long-run Equilibrium • The two conditions necessary for long-run equilibrium in a price-taker market are depicted here. • The quantity supplied and the quantity demanded must be equal in the market, as shown below at P1 with output Q1. • At the price established in the market, firms in the industry earn zero economic profit Firm Price Price Ssr Market MC ATC P1 d1 q1 Output P1 D Q1 Output An increase in Market Demand will lead to higher per-unit costs of production for all firms. The long-run market supply curve in a increasing-cost industry is upward-sloping. 1. Productive Efficiency a. The situation in which a good or service is produced at the lowest possible cost. b. The forces of competition will drive the market price to the minimum average cost of the typical firm. c. Therefore, in the long run, only the consumer benefits from cost reductions. Firm Price MC ATC P1 MR q1 Output 2. Allocative Efficiency a. Goods and services are produced up to the point where the last unit provides a marginal benefit to consumers equal to the marginal cost of producing it. b. Perfectly competitive firms produce up to the point where the price of the good equals the marginal cost of producing the last Price Firm unit. MC ATC MR = MC P1 MR q1 © 2013 Pearson Education, Inc. Publishing as Prentice Hall Output In perfectly competitive markets, firms a. can sell all of their output at the market price. b. produce differentiated products. c. can influence the market price by altering their output level. d. are large relative to the total market. When we say that a firm is a price taker, we are indicating that the a. firm takes the price established in the market then tries to increase that price through advertising. b. firm can change output levels without having any significant effect on price. c. demand curve faced by the firm is perfectly inelastic. d. firm will have to take a lower price if it wants to increase the number of units that it sells. In perfectly competitive markets, individual firms have no control over price. Therefore, the firm’s marginal revenue curve is a. a downward-sloping curve. b. indeterminate. c. constant at the market price of the product. d. precisely the same as the firm’s total revenue curve. If marginal revenue exceeds marginal cost, a perfectly competitive firm should output a. expand output. b. reduce output. c. lower its price. d. do both a and c. When firms in a perfectly competitive market are temporarily able to charge prices that exceed their production costs, a. the firms will earn long-run economic profit. b. additional firms will be attracted into the market until price falls to the level of per-unit production cost. c. the firms will earn short-run economic profits that will be offset by long-run economic losses. d. the existing firms must be colluding or rigging the market, otherwise, they would be unable to charge such high prices. Suppose a restaurant that is highly profitable during the summer months is unable to cover its total cost during the winter months. If it wants to maximize profits, the restaurant should a. shut down during the winter, even if it is able to cover its variable costs during that period. b. continue operating during the winter months if it is able to cover its variable costs. c. go a out of business immediately; losses should never be tolerated. d. lower its prices during the summer months. This graph illustrates a firm a. capable of earning economic profit. b. that is only able to break even when it maximizes profit. c. taking economic losses. d. that should shut down immediately This graph depicts the cost curves of a firm in a perfectly competitive industry. At what output would the firm’s perunit cost be at a minimum? a. 100 c. 150 b. 125 d. an output > 150 For the above graph, if the market price is $30, what is the firm’s profit-maximizing output and maximum profit. a. output, 125; economic profit, zero b. output, 125; economic profit, between $1,000 and $1,250 c. output, 150; economic profit, $1,500 d. output, 150; economic profit, between $1,250 and $1,500