3. Suppose that the production function of a country is given by Y=KaL¹-%, where 0

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3. Suppose that the production function of a country is given by Y=KaL1-a, where 0<a<1, Y is output, L is labour, and K is capital,

 

Derive the equation for steady state capital per worker, output per worker, and consumption per worker in terms of the saving rate (s) and depreciation rate (d).

3. Suppose that the production function of a country is given by
Y=KaL¹-%, where 0<a<1, Y is output, L is labour, and K is capital,
Page 1 of 2
Derive the equation for steady state capital per worker, output per worker, and
consumption per worker in terms of the saving rate (s) and depreciation rate (8).
Transcribed Image Text:3. Suppose that the production function of a country is given by Y=KaL¹-%, where 0<a<1, Y is output, L is labour, and K is capital, Page 1 of 2 Derive the equation for steady state capital per worker, output per worker, and consumption per worker in terms of the saving rate (s) and depreciation rate (8).
Expert Solution
Step 1

Steady state is the state where investment equals depreciation, that is the rate of change of investment is zero.

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