A pirate is about to set sail on a 2-period journey (trip). He has 100 bags of barley (food). He must decide how much to consume in period 1 and how much to consume in period 2: (c1, c2). He gets all the barley in period 1 and none in period 2. Unfortunately, rats will eat 50% of any barley that he saves to consume in period 2. If the pirate's utility function is U(C1, c2) = C1C2, what levels of consumption does he choose in each period? (Hint: The "price" of barley in each period can be assumed to be 1.)
A pirate is about to set sail on a 2-period journey (trip). He has 100 bags of barley (food). He must decide how much to consume in period 1 and how much to consume in period 2: (c1, c2). He gets all the barley in period 1 and none in period 2. Unfortunately, rats will eat 50% of any barley that he saves to consume in period 2. If the pirate's utility function is U(C1, c2) = C1C2, what levels of consumption does he choose in each period? (Hint: The "price" of barley in each period can be assumed to be 1.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:A pirate is about to set sail on a 2-period journey (trip). He has 100 bags of barley
(food). He must decide how much to consume in period 1 and how much to consume
in period 2: (C1, c2). He gets all the barley in period 1 and none in period 2.
Unfortunately, rats will eat 50% of any barley that he saves to consume in period 2. If
the pirate's utility function is U(C1, C2) = C1C2, what levels of consumption does he
choose in each period? (Hint: The "price" of barley in each period can be assumed to
be 1.)
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