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The production function

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Production Function is Q = 25L^1/2(K^1/2)
Where: Q = Output Rate
K = units of capital
L = units of labor

a) Suppose that the price of capital (r) is $40.00 per unit and the price of labor (w) is $160.00 per unit.

If the firm wants to produce 5000 units, what is the optimal combination of inputs (L & K)?

b) What is the total cost of producing the 5000 units if the firm's fixed costs = $10,000?

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