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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose the production function is
 E is the amount of education workers receive; the rest of the notation is standard. Assume that there is perfect capital mobility. In particular, K always adjusts so that the marginal product of capital equals the world rate of return, r∗.
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(a) Find an expression for the marginal product of capital as a function of K, E, L, and the parameters of the production function.
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(b) Use the equation you derived in (a) to find K as a function of r∗, E, L, and the parameters of the production function.
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(c) Use your answer in (b) to find an expression for d(ln Y)/dE, incorporating the effect of E on Y via K.
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(d) Explain intuitively how capital mobility affects the impact of the change in E on output.
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