What is the new steady-state output per worker

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The Cobb-Douglas production function and the steady state

This problem is based on the material in the chapter appendix. Suppose that the economy's production function is given by

639_47f479d8-d188-430f-be79-92969ba3f5ce.png

and assume that a = 1/3.

a. Is this production function characterized by constant returns to scale? Explain.

b. Are there decreasing returns to capital?

c. Are there decreasing returns to labor?

d. Transform the production function into a relation between output per worker and capital per worker. e. For a given saving rate,

s, and depreciation rate, δ give an expression for capital per worker in the steady state.

f. Give an expression for output per worker in the steady state.

g. Solve for the steady-state level of output per worker when s = 0.32 and δ = 0.08.

h. Suppose that the depreciation rate remains constant at δ = 0.08, while the saving rate is reduced by half, to s = 0.16. What is the new steady-state output per worker?

Reference no: EM131145714

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