Economics Homework Solutions
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#15709

Analytical question about capital, labor, and TFP, using Cobb Douglas function

Subject: Analytical question about capital, labor, and TFP, using Cobb Douglas function

Details: 4. Output in an economy is produced when labor hours (H) are combined with capital (K) in a way which reflects TFP to produce output (y). The relation is: y=TFP.K0.^0.27 * H^1-.0.27 What is the share of labor income in output? What happens to the share of profits (i.e. capital's share in output) when there is a change in TFP? (comment on your answer.)

5. Use the production function of Question 4

a) what happens to the marginal product of labor if H rises by 10% with no change in other inputs?
b) What happens to the marginal product of capital if K increases by 15% with no change in other inputs?
c) What happens to the marginal product of labor and to output per person employed if labor and capital both rise by 7%?  

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