Elliot and Jordy find themselves on a deserted island. The only two activities available are fishing and finding pineapples. In a full day, Elliot can catch 6 fish or find 12 pineapples or some linear combination of the two; in the same time, Jordy can catch 4 fish or find 10 pineapples or some linear combination of the two.  Assume, initially, that there is no possibility of trade between Elliot and Jordy. If Elliot wishes to consume 4 fish per day, what is the maximum number of pineapples that he could consume each day in addition to the 4 fish? Briefly explain your reasoning. If Jordy wishes to consume 2 fish per day, what is the maximum number of pineapples that he could consume each day in addition to the 2 fish? Briefly explain your reasoning. Now assume that trade is possible between Elliot and Jordy. If they want to continue to consume the same number of fish indicated in part (1), how many additional pineapples would they be able to collectively consume each day relative to the no-trade case from part (1)? Briefly explain how you derived your answer

Principles of Macroeconomics (MindTap Course List)
8th Edition
ISBN:9781305971509
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter3: Interdependence And The Gains Rrom Trade
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  1. Elliot and Jordy find themselves on a deserted island. The only two activities available are fishing and finding pineapples. In a full day, Elliot can catch 6 fish or find 12 pineapples or some linear combination of the two; in the same time, Jordy can catch 4 fish or find 10 pineapples or some linear combination of the two. 
  2. Assume, initially, that there is no possibility of trade between Elliot and Jordy. If Elliot wishes to consume 4 fish per day, what is the maximum number of pineapples that he could consume each day in addition to the 4 fish? Briefly explain your reasoning. If Jordy wishes to consume 2 fish per day, what is the maximum number of pineapples that he could consume each day in addition to the 2 fish? Briefly explain your reasoning.
  3. Now assume that trade is possible between Elliot and Jordy. If they want to continue to consume the same number of fish indicated in part (1), how many additional pineapples would they be able to collectively consume each day relative to the no-trade case from part (1)? Briefly explain how you derived your answer.
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