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A firm has production function 0 if 1 1 where p > 0) is a parameter

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A firm has production function 0 if 1 1 where p > 0) is a parameter. The price of labor is w > 0 and the price of capital is v > 0. The price of the firm's output is p > 0. (a) Draw an isoquant map for the production function. (b) Describe the economics of the production function f(1,k) in words. Address (i) the piecewise nature of the production function, (ii) the “min” operator, and (iii) the role of the parameter p. (c) Calculate the contingent input demands 1°(w,v,q) and kº (w,v,9). (d) Calculate the firm's cost function C(w,v,9). Hint: Make sure the cost function correctly specifies the cost of producing a = 0 units of output.