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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.
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As in the model solved initially, the following is the LP model Maximize Z = $42.13*(x 11 + x 12 + x 13 + x 14 ) + $38.47*(x 21 + x 22 + x 23 + x 24 ) + $27.87*(x 31 + x
The firm is considering manufacturing a second product in its factory alongside the first. The demand functions for the two products are: Q d1 =180 - 4P 1 Q d2 =90
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