Practice Questions for Experiment 11 THE NEXT THREE QUESTIONS ARE BASED ON THE FOLLOWING SITUATION: Robinson Crusoe lives alone on a tropical island. He spends 9 hours each day catching fish and gathering coconuts. For every hour that he spends fishing, he catches 1 fish. For every hour that he spends gathering coconuts, he finds 2 coconuts. Let F represent the number of fish he catches per day, and let C represent the number of coconuts he gathers per day. Robinson always insists on consuming one fish for every coconut that he eats and one coconut for every fish that he eats. 1. Robinson's production possibility frontier is a line described by which of the following equations? a) F+(C/2)=9 b) F+2C=9 c) 2F+C=9 d) F=2C+9 e) C=F 2. If Robinson cannot trade with anybody, how many fish and how many coconuts should he produce? a) 9 fish and 0 coconuts. b) 0 fish and 18 coconuts. c) 9 fish and 9 coconuts. d) 6 fish and 6 coconuts. e) 4 fish and 10 coconuts. 3. Now suppose that Robinson is regularly visited by an itinerant trader who is willing to trade fish for coconuts or coconuts for fish at the rate of one fish for each coconut. Under these circumstances, what should Robinson do? a) Spend all his time fishing and trade 4 of his fish for 4 coconuts. b) Produce equal numbers of fish and coconuts and not trade with the trader. c) Catch 3 fish and gather 6 coconuts and trade 3 of his coconuts for 3 fish. d) Spend all his time gathering coconuts and trade 9 of his coconuts for 9 fish. e) Spend all his time gathering coconuts and trade 4 of his coconuts for 4 fish. THE NEXT TWO QUESTIONS ARE BASED ON THE FOLLOWING SITUATION: The small island nation of Ruritania is populated by two farmers, Alf and Barney. Each farmer has 100 acres of land. Each acre of land can be used either for growing wheat or as pasture for beef cattle. Each acre that Alf plants to wheat will yield 50 bushels of wheat per year, and each acre that Alf devotes to pasture will yield 70 pounds of beef per year. Each acre that Barney plants to wheat will yield 25 bushels of wheat per year, and each acre that Barney devotes to pasture will yield 30 pounds of beef per year. 4. Under these circumstances, which of the following statements is true? a) Alf has an absolute advantage in the production of beef and a comparative advantage in the production of wheat. b) Barney has a comparative advantage in the production of beef. c) Barney has a comparative advantage in the production of wheat. d) Alf has a comparative advantage in both beef and wheat. e) None of the above statements are true. 5. The total amount of beef produced on Ruritania is the sum of the amounts of beef produced by Alf and by Barney, and the total amount of wheat produced is the sum of the amounts of wheat produced by Alf and by Barney. A national production possibility frontier for the island of Ruritania shows the various combinations of total beef production and total wheat production that can be achieved when the land is used efficiently. Draw the national production possibility frontier for Ruritania on a graph that has total wheat production (W) on the horizontal axis and total beef production (B) on the vertical axis, and let the notation (W,B) represent points on this graph. Using this notation, the national production possibility frontier for Ruritania consists of a) two line segments, one extending from (0,10000) to (2500,7000) and the other extending from (2500,7000) to (7500,0). b) a single line segment extending from (0,10000) to (7500,0). c) two line segments, one extending from (0,3000) to (2500,0) and the other extending from (0,7000) to (5000,0). d) two line segments, one extending from (0,10000) to (5000,3000) and the other extending from (5000,3000) to (7500,0). e) two line segments, one extending from (0,10000) to (3000,7000) and the other extending from (3000,7000) to (7500,0). THE NEXT TWO QUESTIONS ARE BASED ON THE FOLLOWING SITUATION: Ernie and Burt are the only workers in a small furniture factory that makes tables. A table consists of a set of table legs and a table top. It takes Ernie 2 hours to make a set of table legs and 4 hours to make a table top. It takes Burt 1 hour to make a set of table legs and 1 hour to make a table top. (To keep things simple, assume that attaching the legs to the table top takes no time at all.) Ernie and Burt each devote 8 hours per day to the production of tables. 6. Each day, Ernie and Burt seek to maximize the number of completed tables that they produce. What should they do to accomplish this goal? a) Ernie should produce table legs only and Burt should produce table tops only. b) Ernie should spend twice as much time making table tops as table legs and Burt should spend equal amounts of time making table tops and table legs. c) Ernie should produce table legs only and Burt should produce some table legs and some table tops. d) Ernie should spend equal amounts of time at each activity, and Burt should also spend equal amounts of time at each activity. e) Ernie should spend some time producing table tops and some time producing table legs and Burt should specialize in table tops. 7. What is the maximum number of completed tables that Ernie and Burt can produce each day? a) 4 b) 5 c) 6 d) 7 e) 8 8. Max and Einar are going to spend the day hunting for frogs and lizards, items that are of great value to them. In a day of hunting, Max can catch either 8 frogs or 4 lizards. In the same amount of time, Einar can catch either 32 frogs or 8 lizards. For either boy, the number of frogs and lizards that they catch is proportional to the amount of time that they devote to each task. Which of the following trading arrangements will make both Max and Einar better off than they would be without trading? a) Max should hunt frogs, Einar should hunt lizards, and Max should sell frogs to Einar at a price of 1 lizard for 4 frogs. b) Max should hunt frogs, Einar should hunt lizards, and Max should sell frogs to Einar at a price of 1 lizard for 2 frogs. c) Max should hunt lizards, Einar should hunt frogs, and Max should sell lizards to Einar at a price of 5 frogs for 1 lizard. d) Max should hunt lizards, Einar should hunt frogs, and Max should sell lizards to Einar at a price of 3 frogs for 1 lizard. e) It is impossible for Max and Einar to better themselves by trading. Correct Answers: 1. a 2. d 3. d 4. c 5. a 6. c 7. c 8. d