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NOT FOR CIRCULATION NOT TO BE TAKEN AWAY THE UNIVERSITY OF HONG KONG Faculty of Business & Economics Master of Economics Examination 2004-2005 First Semester ECON6021 Microeconomic Analysis Dr. Stephen Chiu 2:30pm – 5:00pm December 18, 2004 (Saturday) Candidates may use any self-contained, silent, battery-operated and pocket-sized calculator. The calculator should have numeral-display facilities only and should be used only for the purposes of calculation. It is the candidate’s responsibility to ensure that his calculator operates satisfactorily. Candidates must record the name and type of their calculators on the front page of their examination scripts. University No.: _____________________________ Name & Type of Calculator: ___________________ Candidates are allowed to bring in a 4” x 6” card containing formula. 1 There are two parts (22 points and 54 points, respectively) in this paper. Answer both of them, and in your answer book. The total score is 76 points. Part I. Multiple Choice Question. Choose the best answer. (2 points per question) 1) An example of adverse selection is a. the consumer purchasing a new car based on the recommendation of a neighbor. b. High health insurance premiums resulting from the poor health of people who buy policies. c. Suppliers charging more for better quality clothing than for lower quality clothing. d. Being talked into buying a low-quality item because the price is lower. 2) Cournot duopolists face a market demand curve given by P = 90 – Q. Each firm can produce output at a constant marginal cost of 30 per unit. The equilibrium quantity and price for the total market will be a. Q = 30, P = 60. b. Q = 60, P = 30. c. Q = 40, P = 50. d. Q = 45, P = 45. e. None of the above. 3) Drivers drive less carefully after having auto insurance. This is a problem of a. adverse selection b. Irrational behavior on the part of the driver c. Poor management of the insuring company d. moral hazard 4) The relationship between producer surplus and consumer surplus is a. producer surplus is always greater. b. consumer surplus is always greater. c. producer and consumer surplus are always equal. d. none of the above is necessarily true. Answer questions 5 and 6 with the following information. Joe is self-employed in a store which he rents for $500 a month. His other expenses are $100 a month for maintenance. He makes $25,000 a year on net sales (total revenue minus the wholesale cost of the product). If he quit his job and worked the same number of hours elsewhere, he estimates that he could make $20,000 a year. No one else can be hired to work in the store. 5) Joe should a. quit his job. b. keep his job. c. work part-time. d. none of the above. 2 6) Suppose that Joe owned the store. Now what should he do? a. quit his job b. keep the job c. work part time d. none of the above. 7) Output for a simple production process is given by Q = 2KL, where K denotes capital, and L denotes labor. The price of capital is $25 per unit and capital if fixed at $8 units in the short run. The price of labor is $5 per unit. What is the total cost of producing 80 units of output? a. $525. b. $200. c. $233. d. $185. e. none of the above. 8) According to the graph, the home country's producer surplus after trade would be a. $ 900. b. $1100. c. $1500. d. $2000. 9) Which of the following statement is true? a. Under adverse selection, good products drive out bad products. b. Under adverse selection, bad products drive out good product. c. Under moral hazard, good products drive out bad products. d. Under moral hazard, bad products drive out good products. 3 10) Consider the following payoff matrix for two automobile companies each contemplating making either a small car or a large car. Which of the following statements is TRUE? Firm 1 Small Car Large Car Firm 2 Small Car $600, $600 $900, $1200 Large Car $1200, $900 $500, $500 a. Making a small car is the dominant strategy for each. b. Making a large car is the dominant strategy for each. c. Making a small car is the dominant strategy for firm 1. d. Neither firm has a dominant strategy. 11) Which statement is true about Nash equilibria of the following game? Player 1 a. b. c. d. U M D Player 2 M 1, 5 4, 8 6, 9 L 3,4 1, 2 0, 3 N 2, 6 6, 3 8, 2 There is no Nash equilibrium. There is a unique Nash equilibrium There are multiple equilibria. Nash equilibrium is not a well defined concept here. Part II. Longer Questions. Answer any three out of four questions. Each question carries the same points (18 points) 1) a. True or False or Uncertain. Please explain in less than 40 words (add a diagram if you think helpful). “If a firm has a production function, Q L0.4 K 0.6 and factor prices are constant, then long-run marginal cost equals long-run average cost.” b. True or False or Uncertain. Please explain in less than 40 words (add a diagram if you think helpful). “If the demand curve for a monopolist is linear, then the imposition of a specific tax will raise the consumer’s price by an amount equal to the tax.” 4 2) During the Iran-Iraq war, the same arms merchant often sold weapons to both sides of the conflict. In this situation, a different price could be offered to each side because there was little danger that the country offered the lower price would sell arms to its rival to profit on the difference in prices. Suppose a French arms merchant has a monopoly of Exocet air-tosea missiles and is willing to sell them to both sides. Iraq's demand for Exocets is P = 400 0.5 Q and Iran's is P = 300 - Q, where P is in million of dollars. The marginal cost of Exocets is MC = Q. What price will be charged to each country? 3) John is like all other managers in a perfectly competitive industry except in one respect: Because of his great sense of humor, people are willing to work for him for half the going wage rate. All other firms in the industry have short-run total cost curves given by STC(q)= M + 10q + wq2, where q is the firm’s output level, M is the salary paid to ordinary managers and w is the going wage rate for the industry. If all firms in the industry face an output price of 28, and if w = 2, how much more will John be paid than the other managers in the industry? 4) You are a self-employed profit maximization consultant specializing in monopolies. Four firms, each a monopolist in its own market, are currently seeking your advice, and although the information they have supplied to you is incomplete, your expert knowledge allows you to make a definite recommendation in each case. Select one of the following recommendations for each firm in the short run: a. Remain at the current output level. b. Increase output. c. Reduce output. d. Shut down. e. Ask the firm to go back and recalculate its figures because the numbers supplied can’t possibly be right. Firm P MR A B 3.00 3.90 5.90 C D TR Q TC MC 2000 10000 7400 2.90 5.90 4.74 9.00 44000 4000 35.00 3990 1000 ATC AVC 3.24 4.24 9.00 11.90 10.74 3300 -- END OF PAPER -- 5 At min value 23.94 Your recommendation