# Jacob: W hat if Framer Jacob has 10% percent of the U.S. wheat production? Is he still a competitive producer?

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1 Microeconomics, Module 7: Competition in the Short Run (Chapter 7) Additional Illustrative Test Questions (The attached PDF file has better formatting.) Updated: June 9, 2005 Question 7.1: Pricing in a Competitive Industry All but which of the following are true in a perfectly competitive industry? A. A firm can sell any quantity at the going market price. B. A firm that raises its price above the equilibrium level loses all its market share. C. Each firm faces a downward sloping demand curve. D. The industry demand curve is downward sloping. E. All of A, B, C, and D are true. Answer 7.1: C The demand curve facing the individual firm is horizontal (flat, perfectly elastic). If it were not flat, it could not sell any quantity at the market price. The industry demand curve is never perfectly flat. A perfectly flat industry demand curve means that consumer will buy any amount offered at the market price. This contradicts the law of decreasing marginal utility. Jacob: How can the industry demand curve slope down if the demand curve facing each firm is flat? Isn t the industry demand curve the sum of the firms demand curves? Rachel: The demand curve facing the individual firm is flat over the range of reasonable output for the firm; it is not perfectly flat for all outputs. Suppose the market for wheat is perfectly competitive. Each farmer can sell as much wheat as desired at the going market price, since many farmers compete with low barriers to entry, no product differentiation, and similar costs. Suppose 800 million bushels of wheat are sold in 20X7, of which Farmer Isaac produces 2 million. Even if Farmer Isaac produces 2.5 million bushels in 20X8, he can still sell the entire quantity at the going market price. Jacob: W hat if Framer Jacob has 10% percent of the U.S. wheat production? Is he still a competitive producer? Rachel: The answer depends on whether the market share confers market power. For commodities like wheat, supply does not differ by farmer.

2 Question 7.2: Demand Curves in a Competitive Industry W hich of the following is true in a perfectly competitive industry? A. The market demand curve is horizontal. B. The market demand curve has an elasticity of zero. C. The demand curve facing an individual firm is horizontal. D. The demand curve facing an individual firm has an elasticity of zero. E. None of A, B, C, or D is true. Answer 7.2: C A horizontal demand curve has an elasticity of negative infinity. The market demand curve is downward sloping and has a negative (but not infinite) elasticity. Jacob: A horizontal supply curve has an elasticity of positive infinity. W hat is the graphic difference between elasticities of positive vs negative infinity? Rachel: Neither the supply nor the demand curve can be perfectly horizontal, since a truly flat curve is economically impossible. Rather:! A flat demand curve is the limit of a downward sloping demand curve as the slope become infinitesimally small.! A flat supply curve is the limit of a downward sloping supply curve as the slope become infinitesimally small. For the illustrative test question above:! The market demand curve is downward sloping; the elasticity is negative, but not zero or infinity. A flat demand curve has an elasticity of negative infinity; a vertical demand curve has an elasticity of zero.! The demand curve facing a competitive firm is flat in the region relevant to the firm s short term pricing decisions. For simplicity, we simply say it is flat. Question 7.3: Competitive Equilibrium All but which of the following are true in a competitive equilibrium? A. Marginal revenue equals marginal cost. B. Quantity demanded equals quantity supplied. C. Price equals marginal revenue. D. Price equals marginal cost. E. All of A, B, C, and D are true.

3 Answer 7.3: E Statements A and B are true in any industry where profits are maximized. Statement C is true of a competitive industry. Algebraically, the price curve is the demand curve expressed as P = f(q). The marginal revenue curve is the (PQ)/ Q. (PQ)/ Q = P (PQ) = P Q P Q + Q P = P Q Q P = 0 P = 0 P is a constant. This is the definition of a flat demand curve, so the industry is competitive. Statement D is a combination of statements A and C. Question 7.4: Competitive Industry All but which of the following are characteristic of a competitive industry? A. Each firm is a small part of a large industry. B. The products of different firms are interchangeable. C. Buyers can easily switch suppliers if the current supplier raises prices. D. Economies of scale are small or zero. E. All of A, B, C, and D are characteristic of a competitive industry. Answer 7.4: E None of these is required, but each is characteristic of a competitive industry. In a competitive industry, no firm has market power, meaning that consumers switch to another supplier if the firm raises its prices (Statement C). This occurs only if the products are interchangeable (Statement B); sophisticated products are less interchangeable. Illustration: Data base systems are hard to integrate from one vender to another. EDP hardware may be generic, but the software (especially systems software) is specific to the product. Vendors must price the generic products competitively; the non-interchangeable software and maintenance can be priced monopolistically. In the year before it sold its PC business, IBM had a margin of about 1% on its PC s, but margins of 20% or 30% on its maintenance and systems support businesses. Statement D: If economies of scale are large, small firms face large barriers to entry. Question 7.5: Competitive Industry In a competitive industry, which of the following is most likely to be true?

4 A. The firms are the same size. B. The firms have the same marginal cost curves. C. The firms have the same fixed costs. D. The firms sell identical products. E. Entry into the industry is relatively easy. Answer 7.5: E Statement A: To simplify the mathematics, the textbook often assumes that competitive firms are the same size. In practice, this is not the case. Farm produce is a competitive industry, but farms vary greatly in size. Statement B: Firms have the same marginal cost for the last unit produced, since! Competitive firms all charge the same market price.! In a competitive market, the marginal revenue is the market price.! A firm prices where marginal cost equals marginal revenue. But the marginal cost curves of two competitive firms may differ. Statement C: Fixed costs are not relevant for short term pricing. Statement D: The products are generally inter-changeable, not identical. This means that a consumer can switch between suppliers without having to change other things; it does not mean that suppliers sell identical products. Statement E: Ease of entry is the sine quo non of a competitive industry. Question 7.6: Competitive Equilibrium At a competitive equilibrium, which of the following is true? A. Price equals marginal cost and the marginal cost curve is upward sloping. B. Price equals marginal cost and the marginal cost curve is downward sloping. C. Price equals marginal cost and the marginal cost curve is at its minimum. D. Price is more than marginal cost and the marginal cost curve is upward sloping. E. Price is more than marginal cost and the marginal cost curve is at its minimum. Answer 7.6: A Question 7.7: Competitive Industry In a competitive industry, which of the following is true?

5 A. All firms charge the same price. B. All firms have the same marginal cost curve. C. All firms have the same total profit. D. All firms have the same shut-down price. E. None of A, B, C, or D is true. Answer 7.7: A In a competitive industry, firms are price-takers; they all charge the market price. If any firm charged more than the market price, it would lose all its business. Jacob: W hy doesn t a firm charge less than the market price to gain market share? Rachel: In a competitive industry, a firm can sell all it produces at the market price; it has no need to charge less than the market price. For statements B, C, and D, we use a numerical illustration. Suppose the market price is 20, and a small firm and a large firm have the following costs:! Small firm: marginal cost = Q; fixed cost = 100! Large firm: marginal cost = Q; fixed cost = 1,000 W e equate marginal cost and price:! Small firm: Q = 20 Q = 100! Large firm: Q = 20 Q = 300 W e compute for each firm: average variable cost, total cost, profit, and shut-down price. Both firms have linear marginal cost curves, so the average variable cost is the marginal cost at the midpoint of the line segment from zero to the quantity supplied.! Small firm: 10 + ½ (0 + 10) = 15! Large firm: 5 + ½ (0 + 15) = 12.5 The total cost is the average variable cost times the quantity supplied plus fixed costs:! Small firm: = \$1,600! Large firm: ,000 = \$4,750 Total revenue is price times quantity supplied:! Small firm: = \$2,000! Large firm: = \$6,000 Profit is total revenue minus total cost:

6 ! Small firm: \$2,000 \$1,600 = \$400! Large firm: \$6,000 \$4,750 = \$1,250 The shut-down price is the minimum average variable cost, which is \$10 for the small firm and \$5 for the large firm. Question 7.8: Pricing in a Competitive Industry All but which of the following are true of a competitive industry in the short run? A. The short run marginal cost curve for a firm is typically U-shaped. B. Only the upward-sloping part of the marginal cost curve is relevant to the firm s supply decisions. C. If the market price is less that average total cost, firms raise their prices so that price equals average total cost. D. A perfectly competitive firm shuts down in the short run if, at the profit-maximizing quantity, the price is less than the average variable cost of production. E. All of A, B, C, and D are true. Answer 7.8: C Statement B: Suppose price equals marginal cost and the marginal cost curve is downward sloping. By selling one more unit, the firm makes a greater profit or incurs a smaller loss, so the current quantity cannot be optimal. Statement C: In the long-run, if the market price is less than average total cost, some firms (the least efficient firms, or the firms that have other investment opportunities) exit the market. The lower supply moves the supply curve left and raises it, so the intersection of the supply and demand curves is at a higher price and lower quantity. Statement D: If the firm shuts down when price is less than average variable cost, it loses less money. Jacob: W ere statement D true, many firms would shut down whenever sales are poor. In fact, firms shut down only rarely; most firms continue operating at a loss until they decide to exit the market. Rachel: For many firms, most of these costs are fixed.

7 ! If the firm pays workers by salary (not by hourly wage), it must fire workers to reduce payroll expense; it can t just lay them off temporarily. The cost of hiring, training, and firing workers out-weighs the short run benefits of lower payroll costs.! For many (most) firms, a temporary shut-down causes consumers to switch to other suppliers; the loss is greater than the short run cost of continuing to operate. These firms are not in competitive markets, which assume that all consumers continually switch to the lowest cost supplier.! For many small firms, the largest expenses is the opportunity cost of the owner; this is a fixed expense, not a variable expense.! Most entrepreneurs are optimists, presuming that hard work will get them past periods of low earnings. They presume that business will improve tomorrow (or next week or next month), and they stay in business after a rational firm would leave. Illustration: An actuary has a private consulting business. The past year, the business earned \$300,000, and its expenses were \$500,000, including the actuary s salary.! Start up costs are high: If the actuary shuts down the business for a few months, employees may find other work. The cost of searching for new employees (and perhaps a new location) are so great that they exceed the benefits of shutting down.! Consumers switch to other consultants if one shuts down; it takes years to rebuild the business.! The actuary s own salary (perhaps \$200,000) is a fixed cost.! Actuarial consultants are optimists: they believe their work is excellent, and profits will improve as soon as the word gets around. Question 7.9: Shut down Prices All but which of the following are true regarding shutdown prices? A. The shutdown price is the minimum price that covers average variable costs. B. The shutdown price is where the marginal cost curve intersects the average cost curve. C. The shutdown price is where the marginal cost curve intersects the average variable cost curve. D. Supply curves slope upwards because of diminishing marginal returns. E. All of A, B, C, and D are true. Answer 7.9: B Only one of B and C can be correct. Fixed expenses do not affect short run supply decisions, such as the shut-down price. Statement D can be rephrased various ways. In the short-run, some inputs are fixed and some can be varied. Suppose capital is fixed and labor is variable. Hiring more labor means that each worker uses less capital, so productivity declines.

8 Question 7.10: Price Elasticity of Supply W hich of the following is a possible price elasticity of supply for firms in a competitive industry? A. B. 1 C. ½ D. 0 E. +1 Answer 7.10: E The price elasticity of supply is positive, since the supply curve slopes upward. A zero elasticity means the curve is vertical. This can occur only if the production costs are zero or if the firm is obligated to produce a certain quantity by the government. Neither of these occur in competitive markets. Question 7.11: Price Elasticity of Demand W hich of the following is a possible price elasticity of demand for firms in a perfectly competitive industry? A. B. 1 C. ½ D. 0 E. +1 Answer 7.11: A The demand curve facing the firm is horizontal, or perfectly elastic; this means elasticity of negative infinity. Jacob: If the market is not perfectly competitive, would B and C be possible? Rachel: All firms, whether or not they are competitive, produce at the elastic part of the demand curve. On the inelastic part, a reduction in quantity supplied causes an increase in revenue. Since the reduction in quantity supplied reduces costs, the net profit increases; the firm can reduce quantity and raise profits. Exercise 7.12: Minimum Total Cost

9 Jacob: Landsburg says that in a competitive equilibrium, the industry produces at the lowest possible total cost. But competition provides incentives to innovate, and a competitive firm may find a lower cost production method. W hat does Landsburg mean that the industry produces at the lowest possible cost? Rachel: Competition stimulates innovation, and we expect costs to keep reducing in competitive industries. Landsburg means that we cannot re-arrange production in a competitive industry to reduce costs. Suppose a competitive industry produces 100,000 identical cellular phones at a total cost of \$10 million. The industry has four firms:! Firm A produces 40,000 phones.! Firm B produces 30,000 phones.! Firm C produces 20,000 phones.! Firm D produces 10,000 phones. If we re-arranged production in the industry, so that Firm A produces 10,000 phones and Firm D produces 40,000 phones, the total cost would be more than \$10 million. Jacob: If the industry is perfectly competitive and the product produced by all firms is identical, aren t the firms the same? Rachel: The firms are not identical. In some illustrations, Landsburg assumes the firms are identical to show the effects of competition on the number of firms competing in the industry. But the following relations hold in a competitive industry:! The same price prevails throughout the market (if the product is identical).! Each firm faces a horizontal demand curve (perfectly elastic), which implies that! Marginal revenue for each firm equals the market price.! Each firm has an upward sloping short run marginal cost curve.! To maximize profits, each firm produces at the quantity where marginal cost equals marginal revenue, which equals the market price.! Since the market price is the same for all firms, the marginal cost is the same.! Jacob: Does this imply that the marginal cost for each firm in this exercise is \$100, which is \$10 million divided by 100,000 phones? Rachel: W e don t know the price in the exercise. In the long-run, the marginal cost equals the average total cost equals the price. But this exercise deals with the short run, not the long-run. In the short run, the marginal cost equals the price, but this does not necessarily equal the average total cost. The price may be \$120, and the industry is earning short run profits of \$2 million, or the price may be \$80, and the industry incurs short run losses of \$2 million.

10 Suppose the price is \$120. Firm A s marginal cost for phone #40,000 is \$120. Since its marginal cost curve is upward sloping, its marginal cost for the next thousand phones is \$121 apiece, and its marginal cost for the previous thousand phones is \$119 apiece. Similarly, Firm D s marginal cost for phone #10,000 is \$120. Since its marginal cost curve is upward sloping, its marginal cost for the next thousand phones may be \$122 apiece, and its marginal cost for the previous thousand phones may be \$118 apiece. The two firms have the same marginal cost at the point of equilibrium, but they do not have the same marginal cost curve. Suppose Firm A produces 41,000 phones and Firm D produces 9,000 phones.! The increase in cost for Firm A is 1,000 \$121 = \$121,000.! The decrease in cost for Firm D is 1,000 \$118 = \$118,000. The net change in cost for the industry is +\$3,000. If Firm A produces 39,000 phones and Firm D produces 11,000 phones.! The increase in cost for Firm D is 1,000 \$122 = \$122,000.! The decrease in cost for Firm A is 1,000 \$119 = \$119,000. The net change in cost for the industry is +\$3,000. Jacob: W hat about the long-run? Are the industry s cost minimized for the long-run? Rachel: If price equals average total cost, which is true in a long-run equilibrium, the long-run costs are also minimized. In this exercise, price exceeds average total cost, so the industry is not in long-run equilibrium. The firms will increase production, perhaps by building larger and more efficient production plants. If the industry is not in long-run equilibrium, it can often improve efficiency by moving to a long-run equilibrium. Exercise 7.13: Shift of Industry Supply Curve A rise in marginal costs makes a competitive industry s supply curve move leftward for two reasons. A. What are these two reasons? B. W ill the output of individual firms rise or fall? Solution 7.13: Part A: The two reasons given by Landsburg are! The marginal cost curve of each firm rises.

11 ! The less efficient firms may shut down. Part B: The output of an individual firm may either rise or fall, depending on the shapes of the curves and the marginal cost curves of new entrants.

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