Question

Suppose that a firm has the cost function for a plant as given below C(w, r,
q) = 0.5q(w+r) where q is output, w is the cost of labour l and r is the cost of capital k.  Find out the production function for the firm

A Q = 0.5L0.5K0.5
B Q = 2L+2K
C Q = min(2L,2K)
D Q = L + 0.5K
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