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Consider a firm which produces a single output using two inputs according to the following production function: y - min{2K, L}, where y is the firms output, K is machinery (measured in machine-hours) and L is labor supply (measured in person-hours). Let r be the cost of one machine-hour and let w be the wage rate (i. e. the cost of one person-hour). (a) Does the firms technology exhibit increasing returns to scale? Explain! (b) Draw the iso-quant corresponding to output of 10 units. Be sure to label important features in the aggan (c) Suppose that r = 16 and w = 4, Determine the firms cost function c(y). (d) On a diagram that has costs on the vertical axis and output and the horizontal axis, plot the firms cost curve c(y), average cost curve AC(), and marginal cost curve MC(v).
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