Consumer's utility function for consumption levels in two periods, c and ca2, is min(2c1, c). The (non-negative) interest rate is r and there is no inflation. The income is 100 in the first period and 20 in the second period. If the consumer behaves optimally, what is the smallest level of consumption in period 1? What is the largest level of consumption in period 1? Explain your reasoning.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.3P
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Consumer's utility function for consumption levels in two periods, c and cz, is min(2c, c2). The
(non-negative) interest rate is r and there is no inflation. The income is 100 in the first period and 20
in the second period. If the consumer behaves optimally, what is the smallest level of consumption in
period 1? What is the largest level of consumption in period 1? Explain your reasoning
Transcribed Image Text:Consumer's utility function for consumption levels in two periods, c and cz, is min(2c, c2). The (non-negative) interest rate is r and there is no inflation. The income is 100 in the first period and 20 in the second period. If the consumer behaves optimally, what is the smallest level of consumption in period 1? What is the largest level of consumption in period 1? Explain your reasoning
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