3) Suppose a monopolist produces a product in two factories. Demand for the product is given by the following linear demand function: P = 200- Qr where Qr is the quantity sold by the firm and P is the selling price. Total cost functions for the two factories are: TCA 1500 + 55QA + Q²A and TCB = 1200 + 20QB+ 2Q²B. Determine the profit maximizing QA, QB, its selling price, and its profit.

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