Suppose that an economy has the following production function: Y = F(K, LE) = K1/2(LE)1/2 Assume that the rate of depreciation is 5 percent per year (d = .05), the rate of population growth is 3 percent per year (n = .03), the rate of labor efficiency growth is 3 percent per year (g=.03) and the saving rate is 60 percent (s = 0.6). Calculate the per effective worker production function, the steady-state levels of capital per effective worker (k*), output per effective worker (y*), consumption per effective worker (c*), and investment per effective worker (i*). %3D

Principles of Economics (MindTap Course List)
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Author:N. Gregory Mankiw
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Chapter25: Production And Growth
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Suppose that an economy has the following
production function:
Y = F(K, LE) = K1/2(LE)!/2
Assume that the rate of depreciation is 5
percent per year (d = .05), the rate of
population growth is 3 percent per year (n =
.03), the rate of labor efficiency growth is 3
percent per year (g=.03) and the saving rate is
60 percent (s = 0.6).
Calculate the per effective worker production
function, the steady-state levels of capital per
effective worker (k*), output per effective
worker (y*), consumption per effective worker
(c*), and investment per effective worker (i*)
%D
%3D
Transcribed Image Text:Suppose that an economy has the following production function: Y = F(K, LE) = K1/2(LE)!/2 Assume that the rate of depreciation is 5 percent per year (d = .05), the rate of population growth is 3 percent per year (n = .03), the rate of labor efficiency growth is 3 percent per year (g=.03) and the saving rate is 60 percent (s = 0.6). Calculate the per effective worker production function, the steady-state levels of capital per effective worker (k*), output per effective worker (y*), consumption per effective worker (c*), and investment per effective worker (i*) %D %3D
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