Consider a firm that produces output 3 11Kili F(K, L) 11Kī = when using K units of capital and I units of labor. It sells each unit produced for p = 15 dollars, paying r = 0.8 dollars for each unit of capital, and w = 0.45 dollars for each unit of labor How much capital and how much labor must this firm hire in order to maximize its profits Use second- order conditions to ensure that a maximum is indeed being found Is it a global maximum or only a local one?
Consider a firm that produces output 3 11Kili F(K, L) 11Kī = when using K units of capital and I units of labor. It sells each unit produced for p = 15 dollars, paying r = 0.8 dollars for each unit of capital, and w = 0.45 dollars for each unit of labor How much capital and how much labor must this firm hire in order to maximize its profits Use second- order conditions to ensure that a maximum is indeed being found Is it a global maximum or only a local one?
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.8P
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