ECONOMICS SECOND EDITION in MODULES Paul Krugman | Robin Wells with Margaret Ray and David Anderson MODULE 23 (59) Graphing Perfect Competition Krugman/Wells • How to evaluate a perfectly competitive firm’s situation using a graph • How to determine a perfect competitor’s profit or loss • How a firm decides whether to produce or shut down in the short run 3 of 15 Interpreting Perfect Competition Graphs • Total profit can be expressed in terms of profit per unit. Profit = TR – TC ( TR Q TC Q ) = XQ = (P-ATC) X Q 4 of 15 Profitability and the Market Price (a) Market Price = $18 Price, cost of bushel The farm is profitable because price exceeds minimum average total cost, the break-even price, $14. Total profit: 5 × $3.60 = $18.00 Minimum average total cost MC E $18 14.40 14 MR = P ATC Profit Z C The vertical distance between E and Z: farm’s per unit profit, $18.00 − $14.40 = $3.60 Break even price 0 1 2 3 4 5 6 7 Quantity of tomatoes (bushels) 5 of 15 Profitability and the Market Price (b) Market Price = $10 The farm is unprofitable because the price falls below the minimum average total cost, $14. Price, cost of bushel Minimum average total cost ATC Y $14.67 14 C Loss Break 10 even price 0 MC MR = P A 1 2 3 4 5 6 7 Quantity of tomatoes (bushels) 6 of 15 Interpreting Perfect Competition Graphs • The break-even price of a price-taking firm is the market price at which it earns zero profits. • Whenever market price exceeds minimum average total cost, the producer is profitable. • Whenever the market price equals minimum average total cost, the producer breaks even. • Whenever market price is less than minimum average total cost, the producer is unprofitable. 7 of 15 The Short-Run Individual Supply Curve Price, cost of bushel Short-run individual supply curve The short-run individual supply curve shows how an individual producer’s optimal output quantity depends on the market price, taking fixed cost as given. MC $18 16 14 12 Shut- 10 E AVC B C A down price 0 ATC 1 2 3 3.5 4 Minimum average variable cost 5 A firm will cease production in the short run if the market price falls below the shutdown price, which is equal to minimum average variable cost. 6 7 Quantity of tomatoes (bushels) 8 of 15 The Shut-Down Price • There are two cases to consider: – When the market price is below the minimum average variable cost. – When the market price is greater than or equal to the minimum average variable cost. • The minimum average variable cost determines the shut-down price. • When price is greater than minimum average variable cost, the firm should produce in the short run. 9 of 15 The Shut-Down Price • The short-run individual supply curve shows how an individual firm’s profit maximizing level of output depends on the market price, taking fixed cost as given. 10 of 15 Changing Fixed Cost • In the long run, firms can acquire or get rid of fixed inputs. • In most perfectly competitive industries the set of firms changes in the long run as firms enter or exit the industry. • Exit and entry lead to an important distinction between the short-run supply curve and the long-run supply curve. 11 of 15 Summary of the Competitive Firm’s Profitability and Production Conditions 12 of 15 Prices Are Up… But So Are Costs • In 2005, Congress passed the Energy Policy Act, that by the year 2012, 7.5 billion gallons of alternative oil—mostly cornbased ethanol—be added to the American fuel supply. • One farmer increased his corn acreage by 40% after demand for corn increased which drove corn prices up. Even though the price of corn increased, so did the raw materials needed to grow the corn. • Farmers will increase their corn acreage until the marginal cost of producing corn is approximately equal to the market price of corn—which shouldn’t come as a surprise because corn production satisfies all the requirements of a perfectly competitive industry. 13 of 15 1. A firm is profitable if total revenue exceeds total cost or, equivalently, if the market price exceeds its break-even price—minimum average total cost. If market price exceeds the break-even price, the firm is profitable; if it is less, the firm is unprofitable; if it is equal, the firm breaks even. When profitable, the firm’s per-unit profit is P − ATC; when unprofitable, its per-unit loss is ATC − P. 2. Fixed cost is irrelevant to the firm’s optimal short-run production decision, which depends on its shut-down price— its minimum average variable cost—and the market price. 3. When the market price is equal to or exceeds the shut-down price, the firm produces the output quantity where marginal cost equals the market price. 14 of 15 4. When the market price falls below the shut-down price, the firm ceases production in the short run. This generates the firm’s short-run individual supply curve. 5. Fixed cost matters over time. If the market price is below minimum average total cost for an extended period of time, firms will exit the industry in the long run. If above, existing firms are profitable and new firms will enter the industry in the long run. 15 of 15
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