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Mountaintop Forest Products is the onlyemployer in a small timber town in the Pacic Northwest. The local residents are willing to supply labor according to

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Mountaintop Forest Products is the onlyemployer in a small timber town in the Pacic Northwest. The local residents are willing to supply labor according to a linear (inverse) labor supplyfunction given by 113(3) 2 900 102:. This means that Mountaintop's cost as a function ofthe amount oflabor it employs is C(at) = w(;c) X a: = (900 10$)m = 900: 103:2 and its marginal cost (asafunction of labor) is given by MC(I} = 900 203. The paper products that Mountaintop produces and sells from the trees that it processes are currently sellingfor $2.50 per box and the production function for Mountaintop is y = 63: {which implies that the marginal product of labor is constant and equal to 6). Given these market details and conditions, answer the following two questions {give your answers to two decimal places). How much labor will Mountaintop hire if it is maximizing its prots? What wage will it pay (remember it is the onlyemployer in town, so Mountaintop has the power to setwages]? $

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