Question: 7. The demand and cost function for a company are estimated to be as follows: P =1008Q TC = 50+80Q10Q+0.6Q a. What price should the
7. The demand and cost function for a company are estimated to be as follows: P =1008Q TC = 50+80Q10Q+0.6Q a. What price should the company charge if it wants to maximize its profit in the short run? The marginal cost (MC) is the derivative of the total cost (TC) function with respect to quantity (Q). This gives us the rate of change of cost with respect to output. To find the profit-maximizing output, first find the marginal cost (MC) by differentiating the total cost (TC) function: b. What price should it charge if it wants to maximize its revenue in the short run? c. Suppose the company lacks confidence in the accuracy of cost estimates expressed in a cubic equation and simply wants to use a linear approximation. Suggest a linear representation of this cubic equation. What difference would it make to the recommended profit-maximizing and revenue-maximizing prices
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