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A firm manufactures and sells a product that has the following demand function: Q = 180 - 4P where P is price, Q is quantity. It also faces the following total cost (TC) function:
TC =0.033Q2 + 15Q+150 where Q is quantity produced. (i) Determine the firm's profit function.
(ii) Using your profit function measured in part (i) find the level of output where the firm maximises its profit.
This problem refers to Doughtery's Educational Attainment and Earnings Functions (EAEF) data set, accessible through the course website. This data is a subset of the U.S. National
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