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Producer Theory Suppose a production function F (L, K ) = Q = 4L1/2K1/2 where L represents the variable input labour, K = 9 is
Producer Theory Suppose a production function F (L, K ) = Q = 4L1/2K1/2 where L represents the variable input labour, K = 9 is the xed input capital, and Q stands for total output. 9) Determine the average product of labour. 10) Determine the marginal product of labour. Suppose each unit of labour L is paid a wage w = 1 and each unit of capital K costs 1' = 2. ll) Determine the total cost as a function of Q. 12) Determine the average total cost as a function of Q. 13) Determine the average variable cost as a function of Q. 14) Determine the average xed cost as a function of Q. 15) Determine the marginal cost. 16) The production mction and the total cost function display respectively a) Increasing returns to scale and only economies of scale; b) Decreasing returns to scale and only economies of scale; c) Constant returns to scale and only economies of scale; d) Increasing returns to scale and only diseconomies of scale; e) Decreasing returns to scale and only diseconomies of scale; t) Constant returns to scale and only diseconomies of scale g) Increasing returns to scale and both economies and diseconomies of scale; h) Decreasing returns to scale and both economies and diseconomies of scale; i) Constant returns to scale and both economies and diseconomies of scale
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