NCC 502 Sample Exemption Examination QUESTIONS 1-2 REFER TO THE DIAGRAM BELOW. $ 60 MC 45 40 30 20 15 2. 3. Richard and Charlotte are prospectors for gold. If they search in different locations, they will both be rewarded with plentiful discoveries. However, if they both go to the same location, they will have to share the gold there. Without communicating with one another, they must decide simultaneously between locations A or B. If their payoff matrix is as given below, which of the following statements is true? D 15 1. 4. 30 20 Quantity 60 Go to A Richard Go to B Relative to the consumer surplus that would result at the socially optimal quantity and price, how much consumer surplus is lost from Kevin selling at the monopolist’s profit-maximizing quantity and price? a. $450 b. $250 c. $125 d. $0 e. None of the above. If Kevin’s only costs are the marginal costs shown, what amount of total surplus would result if he could act as a perfectly price discriminating monopolist? a. $900 b. $200 c. $450 d. $0 e. None of the above. Consider the diagram below. Player 1 makes his/her decision at A and player 2 makes his/her decision at B or C depending on what player one decided. If the payoffs for each are as shown, what is the equilibrium of this game? (U is Up and D is Down) U B Up a. b. c. d. e. -50 for 1 155 for 2 U 150 for 1 200 for 2 If Charlotte and Richard could negotiate costlessly with one another before deciding, which combination would they choose? a. Both will go to A. b. Richard goes to B and Charlotte to A. c. Richard goes to A and Charlotte to B. d. Both will go to B. e. There is no reason for them to negotiate. 6. A single-price, profit-maximizing monopolist faces a demand curve of P=16-3Q and a marginal cost curve of MC=2Q . What are the monopolist’s optimal price and quantity? a. P=$4, Q=2 b. P=$7, Q=3 c. P=$3, Q=3 d. P=$10, Q=2 e. None of the above. 7. In the above question what is the monopolist’s economic profit if fixed costs are $10? a. $16 b. $10 c. $6 d. $0 e. None of the above. D 500 for 1 -5 for 2 A Down C a. b. c. d. e. 1 goes Up, 2 goes Down. 1 goes Up, 2 goes Up. 1 goes Down, 2 goes Up. 1 goes Down, 2 goes Down. There is no equilibrium. The only Nash equilibrium of this game is that both go to A. The only Nash equilibrium of this game is that Richard goes to B and Charlotte to A. The only Nash equilibrium of this game is that Richard goes to A and Charlotte to B. This game has no Nash equilibrium. This game has more than one Nash equilibrium. 5. 100 for 1 105 for 2 D Charlotte Go to A Go to B 3 for Richard 8 for Richard 3 for Charlotte 4 for Charlotte 4 for Richard 2 for Richard 6 for Charlotte 2 for Charlotte 2 8. 9. Consider the demand curve PD=20-Q, and the supply curve PS=Q. By how much would economic surplus be reduced by the imposition of a price ceiling of 6 in this market? a. 8 b. 12 c. 16 d. 20 e. None of the above For the same demand and supply as in the question above, what is the price elasticity of supply at the market equilibrium? a. 1/2 b. 2 c. 1 d. 3/2 e. 3 10. You enter a store and see an item you want to purchase. This is the first time you have seen the item. You can buy it now for $200, or you can search for a lower price. You estimate that prices are equally likely to be any number between $100 and $200. If the cost to you of searching at another store is $8 each time, at what price should you stop searching? a. $200 b. $180 c. $175 d. $140 e. $120 11. A casino offers the following lottery: with probability 0.6, you win $2,000; with probability 0.2, you win $1,000; with probability 0.1 you win $0; and with probability 0.1 you lose $1,500. If you were risk neutral, what is the most you would be willing to pay for this gamble? a. $1700 b. $1600 c. $1550 d. $1250 e. None of the above. QUESTIONS 12-14 REFER TO THE INFORMATION IN THE TABLE BELOW Two firms, X and Y, have access to five different production processes, each one of which gives off a different amount of pollution. The daily costs of the processes and the corresponding number of tons of daily smoke emissions are listed in the table (e.g., process A emits 4 tons per day, B emits 3 tons per day, etc.): Process A (4) Total 2500 Cost to X B (3) 3000 C (2) 3700 D (1) 4500 E (0) 6500 Total Cost to Y 105 110 200 750 100 12. Pollution is currently unregulated, but the government is considering a plan to require a daily permit for each ton of smoke emitted. Among the following prices for each one-ton-per-day pollution permit, which is the smallest the government could charge if its goal were to cut total pollution in half? a. $400 b. $500 c. $600 d. $700 e. none of the above will result in the desired pollution reduction. 13. Suppose that instead of following the permit approach, the government simply required each firm to cut its current pollution by half. How much economic surplus would be lost by using this plan instead of the permit plan? a. $610 b. $750 c. $510 d. $450 e. None of the above. 14. If the government uses the permit plan, which among the following permit prices would maximize the government's total permit revenues while achieving the 50 percent overall reduction in pollution? a. $89 b. $399 c. $499 d. $549 e. $1999 15. Doug and Mike are considering sharing an apartment in Fall Creek for $400/mo. If they don't share they can live separately for $300/mo. each. Apart from the rent they are indifferent between living together and living apart, except for one problem: Doug hates Mike's taste in music. Doug would be willing to pay up to $150 a month to avoid hearing Mike's music. Mike would give up listening to his beloved Wayne Newton for $400/mo. Which, if any, of the following ways of splitting the total monthly rent would induce them to live together? a. Doug pays $50/mo., Mike pays $350/mo. b. Doug pays $75/mo., Mike pays $325/mo. c. Doug pays $125/mo., Mike pays $275/mo. d. Doug pays $200/mo., Mike pays $200/mo. e. There is no distribution of rents that will work. 3 QUESTIONS 16-17 REFER TO THE INFORMATION BELOW A Yorkshire village has four residents and a common grazing land. Her Majesty's Government of Great Britain has just given each of the four residents 200 pounds sterling from the "Yorkshire Small Village Benefits Fund." Each of the four villagers can invest the 200 pounds and earn a return of 15 percent in one year, or can purchase a one-year-old sheep to graze on the commons. After one year the villagers can sell their sheep, but the price their sheep will command depends on how much it ate in the past year and that, in turn, depends on how many sheep were grazing on the commons. The price for a sheep as a function of the total number of sheep on the commons is given in the table below. Number of grazing sheep 1 2 3 Price per 2-yearold sheep (pounds Sterling) 250 235 220 205 16. If the villagers decide individually, how many sheep will be sent to graze on the commons? a. 0 b. 1 c. 2 d. 3 e. 4 17. If villagers could decide collectively, how many sheep would they send onto the commons? a. 0 b. 1 c. 2 d. 3 e. 4 QUESTIONS 18-20 REFER TO THE INFORMATON BELOW Pequeno is a tiny village in Brazil that has a total of 4 inhabitants. Each of the residents can earn a living in either of two ways: by working on a neighboring cocoa plantation or by playing soccer. A cocoa plantation worker can earn $10,000 a year, and only the best soccer player will be awarded a contract with the local professional team, Bahia, in accordance with the player’s ability. In order to have a chance to play for Bahia, contestants must go and train with the team, which prevents them from working on the cocoa plantation. From among those who train with Bahia, the best is chosen and paid accordingly. Each person perceives the same chance of being chosen, and the payment to the one chosen rises in accordance with the number of people who train, as shown in the table below. Number of people training 1 2 3 4 Payment to the winner $15,000 $24,000 $33,000 $36,000 18. How many villagers will go and train with Bahia? a. 0 b. 1 c. 2 d. 3 e. 4 19. What is the socially optimal number of villagers to train with Bahia? a. 0 b. 1 c. 2 d. 3 e. 4 20. Among the following lump-sum taxes levied on the winner's earnings, which is the smallest that would ensure the optimal number of villagers trained with Bahia? a. $5,001 b. $8,001 c. $3,501 d. $2,501 e. $4,001 21. You purchase your CD's through MBG Music Service, which offers you any three CD's free provided you choose a total of at least four CD's. The CD's you definitely want and their prices are: The Burt Bacharach Experience ($15), Soundtrack to the World's Scariest Police Chases ($10), William Shatner Sings Rock Standards ($8), The John Maynard Keynes Trio ($60), and The Kenny G Box Set ($50). What is the marginal cost of selecting The Teletubby Album! ($20) as well? a. $6 b. $8 c. $10 d. $15 e. $20 22. Leo and Kate are stranded on an iceberg in the North Atlantic after their luxury cruise ship sinks. On this iceberg they find that they can each produce two things: fish and drinking water. The following table shows the amount of time it takes each to produce one unit of fish or one unit of drinking water. Leo Kate Time to produce one unit of fish 6 hours 1 hour Time to produce one unit of water 3 hours 2 hours Which of the following statements are true? 4 a. b. c. d. e. Kate should specialize in the production of fish because she can catch 6 fish in the same time it takes Leo to catch one. Kate should produce both and Leo none, because she is better at doing both. Kate should specialize in fish because she has a comparative advantage in fish. Leo has an absolute advantage in water production. None of the above is correct. 23. Each widget producer has a constant marginal cost curve. If the demand curve for widgets is a downward sloping straight line, a tax of $1 per widget, collected from sellers, will a. raise the price of widgets by exactly $1. b. raise the price of widgets by some positive amount less than $1. c. be borne entirely by buyers of widgets. d. be borne entirely by sellers of widgets. e. more than one of the above. 24. Pat and Chris have arranged to meet for a date tonight and have sent e-mails to one another proposing locations for their meeting: Pat suggests Rulloff's and Chris suggests Joe's. Before they can agree on a location, the school’s e-mail and phone systems go down, so they each have to choose their meeting place without further communication. Their payoffs for each potential outcome are as given in the matrix below. If each is rational and self-interested, and each knows the other’s payoffs and understands the theory of games, what will happen? Chris Rulloff's Rulloff's 20 for Pat 10 for Chris Joe's 0 for Pat 15 for Chris Pat Joe's 5 for Pat 5 for Chris 10 for Pat 20 for Chris a. b. c. They will meet at Joe's. They will meet at Rulloff's. Pat will go to Joe's and Chris will go to Rulloff's. d. Pat will go to Rulloff's and Chris will go to Joe's. e. There is no equilibrium. 25. Firm X and Firm Y both face the decision of whether to invest in a new process. Games 1, 2, and 3 show how their profits depend on the combination of decisions they make under three different scenarios. Which of the three games is a prisoner’s dilemma? Game 1: Firm X Don’t invest Invest Firm Y Don’t invest Invest 4 for each 2 for X 10 for Y 10 for X 8 for each 2 for Y Game 2: Firm X Don’t invest Invest Firm Y Don’t invest Invest 10 for X 4 for each 2 for Y 8 for each 2 for X 10 for Y Game 3: Firm X Don’t invest Invest Don’t invest 8 for each 10 for X 2 for Y Invest 2 for X 10 for Y 4 for each a. Games 1, 2, and 3. b. Game 1 and 3 only. c. Game 2 and 3 only. d. Games 1 and 2 only. e. None of the above answers is correct. 26. The maximum amount that a risk-neutral individual would pay to participate in a gamble that gives a gain of $20 with probability of 40%, a gain of $30 with probability of 20% and a loss of $10 with a probability of 40% is a. $0 b. $10 c. $18 d. $40 e. none of the above. 27. Joe and Al are scaffolding erectors. They are the only two members of a community. They get satisfaction from three things: their income, their safety at work, and their income relative to their neighbor’s income. Joe’s utility is given by U = X + R + S, where X = Joe’s monthly income in dollars, R = 30 if Joe’s income exceeds Al’s, and -30 if Al’s income exceeds his. R = 0 if Joe and Al earn the same salary. S = 40 if Joe’s job is safe, and 0 if his job is unsafe. Al’s utility function is symmetrically defined. Each must choose between a safe job that pays $100 per month, and an unsafe job that pays $130 per month. If it is impractical for them to negotiate about their choice, what is the maximum amount each would be willing to pay for a regulation that required them to choose the safe job? a. $0 per month. b. $10 per month c. $20 per month d. $30 per month e. none of the above. 5 28. Gainesville, Florida, has two potential sources of water: an underground spring and a nearby lake. The spring can supply up to 2 million gallons per day at a cost of 0.1 cents per gallon. The lake can supply an additional 4 million gallons per day at a cost of 0.2 cents per gallon. If the demand curve for water is as shown in the diagram below, how much should Gainesville charge a citizen whose water comes from the spring, and how much should it charge someone whose water comes from the lake? 30. Philip Morris and RJR must each decide whether to advertise their products. The payoffs for each combination of strategy choices are as follows. Philip Morris Advertise Advertise $10 million each Don't Advertise $35 million for RJR $5 million for PM RJR P (cents/gal) 0.6 $5 million for RJR Don't Advertise $10 million for PM Q 4 (millions of gallons/day) a. 0.1 cents/gal for water from the spring, and 0.1 cents/gal for water from the lake. b. 0.1 cents/gal for water from the spring and 0.2 cents/gal for water from the lake. c. 0.2 cents/gal for water from the spring and 0.1 cents/gal for water from the lake. d. 0.2 cents/gal for water from the spring and 0.2 cents/gal for water from the lake. e. None of the above is correct. 29. In the previous question, suppose the demand curve shown represents the demand curve for water use on a mid-summer day. The demand curve for a mid-winter day is given by P = 0.4 – 0.2Q, where P is the price in cents per gallon and Q is the quantity of water demanded in millions of gallons per day. How much should Gainesville charge for water on a mid-summer day and how much should it charge on a mid-winter day? a. 0.1 cents/gal during both periods. b. 0.2 cents/gal during both periods c. 0.1 cent/gal during winter, 0.2 cent/gal during summer. d. 0.1 cent/gal during summer, 0.2 cent/gal during winter. e. none of the above $20 million each If executives in each company know that executives in the other company also see this payoff matrix, and if executives in both companies are rational, what combination of strategies will they choose? a. PM: Advertise, RJR: Advertise b. PM: Don't advertise, RJR: Don't Advertise c. PM: Advertise, RJR: Don't Advertise d. PM: Don't Advertise, RJR: Advertise d. They can not be determined.
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