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ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Let each consumer have preferences described by the utility function  

and let the production function be given by

y = kα

a. Demonstrate that utility maximization results in demands that satisfy

b. Using the result in part a, the consumer’s budget constraint and the capital market equilibrium condition, show that the steady-state value of k satisfies

c. Employing the factor price condition r = αkα-1, show that the steady-state interest rate is

 

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