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%. b. At what rate (%) do the following grow in the steady state? i. Total output Output per worker ii. iii. Output per effective worker iv. Real rental price V. Real wage

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter9: Production Functions
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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%.
b. At what rate (%) do the following grow in the steady state?
i.
Total output
ii. Output per worker
iii. Output per effective worker
iv.
Real rental price
V.
Real wage
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%. b. At what rate (%) do the following grow in the steady state? i. Total output ii. Output per worker iii. Output per effective worker iv. Real rental price V. Real wage
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