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4. Consider the following production function: Y = K.5(AN).5, where both the population and the pool of labor are growing at a rate n = .07, the capital stock is depreciating at a rate d = .03, and A is normalized to 1. a. What are capital’s and labor’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 the steady state? At what rate is total output growing? What if total factor productivity is increasing at a rate of 2 percent per year (g = .02)?
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