3. A country has the following production function: Y = K0.2L0.6p0.2 where Y is total output, K is capital stock, L is population size and P is land size. The depreciation rate (8) is 0.05. The population growth rate (n) is 0. We define: y = ½, k = 1 and p = . Land size is fixed. L a) Find out the steady state values of k and y in terms of p, the per capita land size.

Essentials of Economics (MindTap Course List)
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ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Production And Growth
Section17.1: Economic Growth Around The World
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3. A country has the following production function: Y = K0.2L0.6p0.2 where Y is total
output, K is capital stock, L is population size and P is land size. The depreciation rate (8)
is 0.05. The population growth rate (n) is 0. We define: y = ½, k = 1 and p = . Land size
is fixed.
L
a) Find out the steady state values of k and y in terms of p, the per capita land size.
Transcribed Image Text:3. A country has the following production function: Y = K0.2L0.6p0.2 where Y is total output, K is capital stock, L is population size and P is land size. The depreciation rate (8) is 0.05. The population growth rate (n) is 0. We define: y = ½, k = 1 and p = . Land size is fixed. L a) Find out the steady state values of k and y in terms of p, the per capita land size.
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