CHAPTER 9 PERFECT COMPETITION EVEN NUMBER ANSWERS, SOLUTIONS, AND EXERCISES ANSWERS TO ONLINE REVIEW QUESTIONS 2. Many markets are reasonably close to perfect competition, and by using the model of perfect competition, we can make valuable predictions about those markets. Perfect competition approximates and gives accurate enough predictions in a variety of markets. 4. The demand curve facing a perfectly competitive firm is infinitely elastic since a perfectly competitive firm is a price taker. If such a firm increases its price above the going market price, it would lose all of its customers; it will not lower its price below the market price because it does not have to (it can sell all the output it wants without lowering its price). 6. Comparing price and ATC tells us the firm’s profit per unit, which can then be multiplied by the number of units to obtain total profit. But the firm’s goal is to maximize total profit, not profit per unit. Looking at price and ATC doesn’t tell us what level of output maximizes total profit. For this, we need to look at price and marginal cost. 8. a. Uncertain. When price exceeds minimum AVC, the firm will not shut down, but its profit could be positive (if P > ATC > AVC) or negative (if AVC < P < ATC). b. False. A competitive firm’s supply curve coincides with the marginal cost curve for all prices above the minimum point on the AVC curve. For all prices below the minimum point on the AVC curve, the supply curve is vertical at zero units of output. 10. False. Output increases in the long run as more firms enter the market. If the firms are entering a constant cost industry or a decreasing cost industry, the price will not increase. PROBLEM SET 2. Q 0 1 TVC $0 MC MR 6 5 6 5 2 3 4 5 6 28 6 12 5 –7 6 17 10 –7 6 21 15 –6 6 24 20 –4 6 28 25 –3 6 34 30 –4 5 22 6 Economic Profit –$6 5 18 4 TR $0 5 15 3 TC $6 5 11 4 TFC $6 5 a. Using the MR and MC approach, we know that, when marginal cost is increasing, the firm should increase output if MR>MC for that additional output, and not increase output if MR<MC. We see that marginal cost begins to increase with the production of the 5th unit. For the 5th unit MR>MC, so the firm should produce it. For the 6th unit, however, MR<MC, so the firm should not produce it. We see that the profit maximizing output level is Q* = 5. b. Since the firm’s TC always exceeds its TR, its goal becomes to minimize its economic loss. This occurs at Q* = 5, where economic profit = –$3 4. a. The market equilibrium price—where quantity supplied equals quantity demanded—is $2.00 per pound. Thus, each individual firm will face a price of $2.00, which is also its marginal revenue. From the total cost column, we can calculate that marginal cost is $1.00 per pound for increases from 60,000 to 61,000, and from 61,000 to 62,000. When output increases from 62,000 to 63,000, however, MC = $3.00. Since MR > MC for increases in output up to 62,000, but MR < MC beyond 62,000, the typical firm should produce a profit-maximizing output of 62,000 pounds. b. At 62,000 pounds, ATC = TC/Q = $112,000/62,000 = $1.81. Since P > ATC, the firm is earning a profit. Profit will attract entry, so this market is not in long-run equilibrium. c. The profit that the firm is earning will attract entry, so that the number of firms in the market will increase. 6. Yes. In the short run, a higher price induces existing firms to produce more output, while in the long run, a higher price also induces entry. For any given price increase, the quantity supplied will be higher with entry than with no entry. Consequently, the supply curve is flatter in the long run than in the short run. 8. a. Output Price Total Revenue 0 $50 $0 Marginal Revenue Total Cost $5 $50 $35 $50 $40 $10 $50 2 $50 $15 $100 $55 $45 $50 3 $50 $35 $150 $90 $60 $50 4 $50 Profit -$5 $50 1 Marginal Cost $55 $200 $145 $55 $65 This firm’s short-run profit-maximizing quantity of output is 3 (found by expanding output as long as marginal revenue exceeds marginal cost). This firm will earn a profit of $60. b. Output Price Total Revenue 0 $50 $0 Marginal Revenue Total Cost $10 $50 1 $50 $50 $50 -$10 $45 $100 $5 $15 $60 $50 Profit $35 $50 2 Marginal Cost $40 $35 3 $50 $150 $95 $50 4 $50 $200 $55 $55 $150 $50 $50 $65 The firm’s profit-maximizing quantity of output remains at 3 units, but its profit falls to $55. c. Output Price Total Revenue 0 $50 $0 Marginal Revenue Total Cost $5 $50 1 $50 $50 $50 $50 $95 $150 $50 $5 $55 $150 $50 4 -$10 $35 $50 3 -$5 $60 $100 $200 $0 $75 $225 $50 Profit $55 $50 2 Marginal Cost -$25 $85 The firm’s profit-maximizing quantity of output falls to 2 units, and its profit falls to $5. 10. Suppose the perfectly competitive market and representative firm are initially in equilibrium at point A. In the left-hand panel, market output is Q1 and price is P1. The right-hand panel shows that the typical firm facing price P1 produces q1 units of output (at the minimum point of its long-run average total cost curve, LRATC1). Now suppose that market demand decreases from D1 to D2. Firms that are already in the market react by cutting back production. As they do so, the market price will fall to PSR at the intersection of market supply curve S1 and new market demand curve D2. At this low price, however, each of those firms will be suffering a loss. Some of them will leave the industry. As they do so, the market supply curve will shift inward. Because this is an increasing cost industry, the reduction in market output will cause each firm's LRATC curve to shift downward. The shifts will continue until each firm is just breaking evenat point C. In the new long-run equilibrium (point C), both the market price and quantity are lower than before the reduction in market demand (old long-run equilibrium at point A); the output of the typical firm is unchanged at q1. The upward-sloping, long-run market supply curve, SLR, is found by connecting points A and C, both of which are points of long-run equilibrium. 12. a)In the short run, demand for solar panels increases from D1 to D2. Keeping the supply curve constant, this brings us to the short-run equilibrium point B at which PSR>P1. In the long run two things happen. First, firms start entering the market because they can sell at a high price (PSR), which shifts the supply curve to the right. Second, technological improvements shift the LRATC curve downward from LRATC1 to LRATC2 for each individual firm. Hence, given the price and any number of firms in the market, output will be higher because technological improvements allow each firm to produce at a lower cost. This also shifts the supply curve to the right. Finally, we end up at a long-run equilibrium point C. Market Price per Peak Watt S1 S2 B PSR P1 A C P2 D2 D1 Q1 Q2 Quantity of Solar Panels b) In the new, final long-run equilibrium (point C), the price of solar panels is lower than it was initially (at point A). Firm Price per Peak Watt LRATC1 LRATC2 d1 = MR1 P1 d2 = MR2 P2 Q1 Quantity of Solar Panels 14.a. In the left-hand panel, imposition of the excise tax will shift the short-run supply curve vertically by the amount of the tax – from S1 to S2. In the short run, the demand curve will not change, so the new equilibrium is found at point B where supply curve S2 crosses unchanged demand curve D1. Each firm in the industry will find that its average total cost has increased by the amount of the tax. b. In the long run, the typical firm’s LRATC curve (right-hand panel) will shift upward by the amount of the tax – from LRATC1 to LRATC2. You can see that the short-run demand curve (dotted) corresponding to new short-run market price P2 – lies below LRATC2 at each possible output level. Consequently, each firm in this market will suffer a loss, and some of them will leave the industry. As firms do leave the industry, the market supply curve will shift farther to the left – to S3. However, because it is a constant-cost industry, this exit will not affect firms’ LRATC curves. Exit will continue until the market price reaches P3. At that price, each of the remaining firms will just break even – with zero economic profit. In other words, the market is back in long-run equilibrium at point C. c. Notice that the excise tax, the vertical shift of the LRATC curve, and the change in the market price are all the same. The fact that the market price has risen by the full amount of the tax tell us that all of the tax is paid by buyers.
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