AP Economics: Theory of the Firm FRQs April 29, 2015 Theory of the Firm FRQs 1. Assume that a profit-maximizing firm in a monopolistically competitive industry is in longrun equilibrium. (a) Draw a correctly labeled graph that shows the profit-maximizing firm’s price and output. Correct labels; MR curve below D curve, both downward sloping; Q where MR=MC; P sliding up vertical Q line at intersection with D; ATC curve tangent to D at P (b) Assume that the city in which this industry operates eliminates the business license fee (a fixed cost) for all the firms in the industry. How does the elimination of the license fee affect each of the following for the individual firm in the short run? Explain your answers. (i) Output Does not change. License fee is a fixed cost and does not change MC. (ii) economic profits Increases in short run. No effect on P or Q but ATC decreases. 2. Market structures differ from one another in many respects. Consider two profitmaximizing firms that earn short-run economic profits. One is a perfectly competitive firm and the other is a monopoly. (a) For each firm, draw a correctly labeled graph showing the following: (i) price (ii) quantity of output (iii) area of economic profits Perfectly Competitive firm: Correct labels, horizontal D=P=MR curve, upward sloping “swoosh” MC curve intersecting both D=P=MR line above u-shaped ATC curve at its minimum; Q where MR=MC; economic profits shaded as Q * (P – ATC) Monopoly: Correct labels, downward sloping D curve, MR curve curve below D curve with steeper slope; upward sloping “swoosh” MC curve; Q where MR=MC, P following vertical Q line to its intersection with D curve; profits in the area Q * (P – ATC) (b) For each firm, explain the relationship between price and marginal revenue. For the Perfectly Competitive firm, P = MR. For the Monopoly, P lies along the demand curve, which is always above MR. (c) For each firm, explain how economic profits would most likely change in the long run. If a Perfectly Competitive firm earns economic profits in the short run, new competitors enter the industry, increasing supply and eliminating economic profits. Monopolies have barriers to entry so, absent government regulation, economic profits can exist in the long run. (d) Label the area that represents the deadweight loss on the graph for the monopoly firm drawn in (a). Explain what deadweight loss represents. Deadweight loss represents the consumer surplus and producer surplus lost due to the monopoly producing less than the efficient quantity (where P = MC) (more on next page) 3. In the country of Lola, sugar had always been produced in a perfectly competitive industry until a dictator seized power and monopolized the production of sugar. (a) Draw a graph that shows the output and price a monopolist would choose to maximize profits. Correct labels, downward sloping D curve, MR curve curve below D curve with steeper slope; upward sloping “swoosh” MC curve; Q where MR=MC, P following vertical Q line to its intersection with D curve; profits in the area Q * (P – ATC) The people of Lola revolt, imprison the dictator, and repeal the law restricting the number of sellers of sugar. (b) Explain two conditions that might lead to an increase in the number of sugar sellers after the repeal of the law. Presence of economic profits will attract new competitors to the sugar industry, increasing supply and decreasing prices. The reduced prices will increase demand which might require more producers. (c) Describe how an individual seller would determine the profit-maximizing output level of sugar if the sugar industry were perfectly competitive. Optimal output will be where their MC = Price. In a perfectly competitive industry P = MR. (d) Given your answers in parts (a) and (c), is the repeal of the law likely to make the sugar industry more efficient? Why? In your explanation, be sure to include an explanation of economic efficiency. Yes. Monopolies do not produce at an allocatively efficient level, where P = MC. The repeal of the law will encourage new entrants, which will increase supply and decrease P until it P = MC. The increase is S will also push P down to the minimum of ATC, a productively efficient level. 4. Two airline companies, Airtouch and Windward, operate a route from City X to City Y, transporting a mix of passengers and freight. They must file their schedules with the National Transportation Board each year and cannot alter them during that year. Those schedules are revealed only after both companies have filed. Each airline must choose between a morning and an evening departure. The relevant payoff matrix appears below, with the first entry in each cell indicating Airtouch's daily profit and the second entry in each cell indicating Windward's daily profit. (a) In which market structure do these firms operate? Explain. Oligopoly. There are only two firms, and they are interdependent. (b) If Windward chooses an evening departure, which departure time is better for Airtouch? Evening. Their profit would be $900, versus $700 for morning departure. (c) Identify the dominant strategy for Windward. Morning (d) Is choosing an evening departure a dominant strategy for Airtouch? Explain. No. If Windward chooses Morning, Airtouch would also choose Morning ($1000 vs. $750) (e) If both firms know all of the information in the payoff matrix but do not cooperate, what will be Windward's daily profit? $700. Windward will choose its dominant strategy, Morning, then Airtouch will also choose Morning.