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Consider the following production function. Y=K^5 (AN)^.5 , where both the population and the pool of labor are growing by rate n=.07, the capital stock is deprecciating at a rate of d= .03, and A is normalized to 1.
A. What are the capitals and labour’s shares of income?
B. What is the form of this production function?
C. Find the steady state values of k and y when s=.20
D. At what rate is per capita output growing at a steady state? At what rate is total output growing? What if the total factor of productivity is increasing at a rate of 2 percent year (g=.02)?
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Utilize the information from the completed table also the graphs to identify the three stages of production also explain why the industry's short run production has only one ‘rational' stage of production.
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