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Perfect competition and suppy Perfect Competition and the Supply Curve October 22, 2006 Reading: Chapter 9 In this topic we complete our discussion of the firm or producer’s decision-making process. We discussed inputs and costs in the previous topic. Now we discuss the marginal benefit side of the story. We then derive the industry supply curve, which we used in our supply-demand analysis. In the next topic we will discuss the consumer’s decision and derive the demand curve. a. b. c. d. Perfect competition Profit maximization Individual supply curve Industry supply curve i. Short run ii. Long run 2 Perfect Competition Perfect Competition Conditions for Perfect Competition Price-taking behavior 1. Small agents. Many consumers. Many producers, small in the sense that none of them have a large market share. 2. Standardized or homogenous product. Consumers regard the products of all producers as equivalent. 3. Perfect information. Producers and consumers have full information on relevant issues. 4. Free entry and exit. Producers can easily enter into or leave that industry. Consumers can also “move” freely between products. The conditions of perfect competition imply that producers and consumers are price takers. Price-taking behavior implies that agents make decisions taking the price to be given, that is, believing that their individual actions cannot affect the price. They cannot set the price at which they buy and sell. Why do the conditions imply it? Role of smallness, homogenous product, information, entry and exit. Perfectly competitive industry is an industry with price taking producers. Firms do not actively compete against each other. Compare with an industry with a few sellers. Perfectly competitive market is a market with pricetaking consumers and producers. 3 Profit maximization 4 Profit Maximization Profit, total revenue, total cost, cont. Profit, total revenue, total cost Profit = TR - TC TR = Total Revenue = P Q TR Revenue, cost Price-taking behavior implies P is fixed TC = Total Cost Firm chooses output which maximizes profit TC Profit Q* quantity 5 6 1 Profit Maximization Profit Maximization Marginal Analysis Marginal Analysis, cont Marginal revenue is the change in total revenue generated by an additional unit of output. MR = ∆TR/∆Q The optimal output rule says that profit is maximized by producing the quantity of output at which the marginal cost of the last unit produced is equal to its marginal revenue. MR = MC In a perfectly competitive industry: MR = P Optimal output rule is: P = MC 7 Profit Maximization 8 Profit Maximization Marginal Analysis, cont. Profitable Production Marginal revenue curve shows how Marginal Revenue depends on the level of output. For perfect competition, it is given by price, P The profit-maximizing point is where the marginal cost curve crosses the marginal revenue curve (which is a horizontal line at 9 the market price). Profit Maximization Profitable Production, cont ¾ If TR > TC, the firm is profitable. ¾ If TR = TC, the firm breaks even. ¾ If TR < TC, the firm incurs a loss. Profit/Q = TR/Q – TC/Q = P - AC ¾ If P > AC, the firm is profitable. ¾ If P = AC, the firm breaks even. ¾ If P < AC, the firm incurs a loss. ¾ Note: Cost include all opportunity costs 10 Profit Maximization Profitable production, cont The break-even price of a price-taking firm is the market price at which it earns zero profits. Profit making Loss making 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 11 unprofitable. 12 2 Individual Supply Curve Individual Supply Curve Firms output decision rules Competitive Firm’s Profitability and Production Conditions In the short run, fixed costs are given. 1. The firm will produce up to where P = MC, provided MC is rising. When MC is falling, if output is increased, TC falls and TR rises, so that profit increases. 2. The firm will produce nothing if P < minimum AVC. If firm produces nothing, its profit = - TFC If it produces something its profit = TR – TC = TR – TFC – TVC = (P – AVC) Q – TFC In the long run, fixed costs can be changed and the firm can enter or exit. If P > minimum AC, firm will exist. Otherwise it will close down. 13 Individual Supply Curve Firm’s supply curve 14 Industry Supply Curve: Short run The industry supply curve shows the relationship between the price of a good and the total output of the industry as a whole. Short run industry supply curve is the horizontal sum of the individual supply curve of all firms in an industry, given the number of firms and given each firm’s fixed cost. P P Firm 1 A firm will cease production in the short-run if the market price falls below the 15 shut-down price, which is equal to minimum average variable cost. Industry Supply Curve: Short run The Short-Run Market Equilibrium q P Firm 2 P Industry Firm 3 q q 16 Quantity Industry Supply Curve: Long Run The Long-Run Market Equilibrium In the long run firms can change fixed costs and they can enter and exit. Already considered changing fixed costs – deal with LRAC, LRMC Now consider entry and exit, ignoring changes in fixed costs. There is a short-run market equilibrium when the quantity supplied equals 17 the quantity demanded, taking the number of producers as given. A market is in long-run market equilibrium when the quantity supplied equals the quantity demanded, given that sufficient time has elapsed for entry 18 into and exit from the industry to occur. 3 Industry Supply Curve: Long Run The Effect of an Increase in Demand in the ShortRun and the Long-Run Industry Supply Curve: Long Run Comparing the Short-Run and Long-Run Industry Supply Curves The long-run industry supply curve can be completely flat. It can also be upward rising. Why? Rising input prices External technical diseconomies: Costs of firms rise when industry output rises – pollution? It can also be downward sloping. Why? External diseconomies. D↑ Æ P↑ Æ non-zero profits Æ entry Æ S↑ Æ P↓ Æ back to zero profit (on LRS curve) 19 The long-run industry supply curve is always flatter—more elastic—than the 20 short-run industry supply curve. This is because of entry and exit: Industry Supply Curve: Long Run Industry Supply Curve: Long Run Negatively-sloped Long Run Supply Curve Positively-sloped Long Run Supply Curve Demand curve moves up. Price goes up along SRSC. Positive profits. Firm enter. SRSC moves right and industry output expands. Pushes up firm cost curves due to higher input prices or technological external diseconomies. Long-run equilibrium price is higher than before. Demand curve moves up. Price goes up along SRSC. Positive profits. Firm enter. SRSC moves right and industry output expands. Pushes down firm cost curves due to technological external economies. Longrun equilibrium price is lower than before. price price ATC MC MC D SRSC D SRSC ATC LRSC LRSC quantity quantity Quantity 21 Quantity 22 Industry Supply Curve: Long Run Implications of Long Run Equilibrium 1. In a perfectly competitive industry in equilibrium, the value of marginal cost is the same for all firms. 2. In a perfectly competitive industry with free entry and exit, each firm will have zero economic profits in longrun equilibrium. 23 4