6. Consider a hypothetical economy that has the production function Y = F(K, LE) = K¹/3 (LE) 2/3, where Y is output, K is capital, and LE is the number of effective workers. Suppose the saving rate is 20%, the capital depreciates by 3%, the population grows at the rate of 1%, and the rate of labor-augmenting technological change is 1%. a. Solve for the per-effective-worker production function.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter9: Production Functions
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Problem 9.2P
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6.
Consider a hypothetical economy that has the production function Y = = F (K, LE) =
K¹/3 (LE) 2/3, where Y is output, K is capital, and LE is the number of effective workers.
Suppose the saving rate is 20%, the capital depreciates by 3%, the population grows at
the rate of 1%, and the rate of labor-augmenting technological change is 1%.
a. Solve for the per-effective-worker production function.
Transcribed Image Text:6. Consider a hypothetical economy that has the production function Y = = F (K, LE) = K¹/3 (LE) 2/3, where Y is output, K is capital, and LE is the number of effective workers. Suppose the saving rate is 20%, the capital depreciates by 3%, the population grows at the rate of 1%, and the rate of labor-augmenting technological change is 1%. a. Solve for the per-effective-worker production function.
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