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Woodmaster uses labour (L) and capital (K) to produce furniture (Q). Woodmaster's production function is given by Q = (Ka + La) L1-a, where L
Woodmaster uses labour (L) and capital (K) to produce furniture (Q). Woodmaster's production function is given by Q = (Ka + La) L1-a, where L > 0, K > 0, Q > 0. Suppose a = 0.59. (a) (0.25 points) The production function exhibits which returns to scale? Oa. constant Ob. increasing Oc. decreasing (b) (0.25 points) Suppose w and r are prices of L and K. Let c(w, r, Q) denote the cost function associated with Woodmaster's production function. The average cost of production, i.e. c(w, r, Q)/Q Oa. is decreasing in Q Ob. is increasing in Q Oc. does not change with Q Write your answers to 3 decimal places. (c) (0.5 points) To minimise costs, Woodmaster uses labour (L) and capital (K) in equal amounts. Then it must be the case that to =
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