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Suppose a firm has a production function of fixed proportions: f(K,L) = [min{L, 3K}] 1 / 2 (a) Find the conditional demands for capital (K)

Suppose a firm has a production function of fixed proportions:

f(K,L) = [min{L, 3K}]1/2

(a) Find the conditional demands for capital (K) and for labor (L) when the price of capital is K and the price of labor L.

(b) Find the long-run cost function. Explain what this function represents.

(c) Plot the firm's supply function. Show your calculations

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