Suppose the market price that a firm can sell its product for is a function of how much it and the firm's competitor produce so that p = 136 - (x1 + x2) where p is the selling price, x1 is the firm's production, and x2 is the competitor s production. The firm's cost function is 28 + 3.6*x1. If the firm's competitor produces x2 = 27 units, how much should the firm produce if it wants to maximize the profit?
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