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firms production function q = (L^0.8) (k^0.2). Where (q) is the function they want to minimize costs, and The wage rate (w) , and capital's

firms production function q = (L^0.8) (k^0.2). Where (q) is the function they want to minimize costs, and The wage rate (w) , and capital's rent rate is (r)

a) write for cost minimizing , write Lagrangian expression

b) write the first-order conditions

c) Find the cost minimizing L and K

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