3.36 Derive the cost function for the two-input, constant-returns, Cobb-Douglas technology. Fix one input and derive the short-run cost function. Show that long-run average and long-run marginal cost are constant and equal. Show that for every level of the fixed input, short-run average cost and long-run average cost are equal at the minimum level of short-run average cost. Ilustrate your results in the cost-output plane.
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