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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose that a firm's technology is given by the following production function:
Â
f(k,L) = 6k^1/6*L^1/6
Â
1.    Prove that this production function exhibits diminishing marginal product in both  and . This is not the same thing as decreasing returns to scale.
2.    Prove that this production function exhibits decreasing returns to scale.
Â
Suppose that the rental rate of capital is $10, the wage rate of labor is $10, and the price of output is $40.
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3.    What is the profit-maximizing quantity of capital and labor?
4.    What is the profit-maximizing quantity of output?
5.    What is the maximum profit for this firm?
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