The demand and cost function for a company are estimated to be as follows: P = 100 - Q TC = 50 + 80Q -10Q2 + 0.6Q3 What price should the company charge if it wants to maximize its profit in the short run? What price should it charge if it wants to maximize its revenue in the short run
The demand and cost function for a company are estimated to be as follows: P = 100 - Q TC = 50 + 80Q -10Q2 + 0.6Q3 What price should the company charge if it wants to maximize its profit in the short run? What price should it charge if it wants to maximize its revenue in the short run
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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- The
demand and cost function for a company are estimated to be as follows:
P = 100 - Q
TC = 50 + 80Q -10Q2 + 0.6Q3
- What
price should the company charge if it wants to maximize its profit in the short run? - What price should it charge if it wants to maximize its revenue in the short run
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 on the recommended profit-maximizing and revenue-maximizing prices
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VIEWStep 2: Part (a) Calculating price the company should charge to maximize its profit in the short run.
VIEWStep 3: Part (b) Calculating price the company should charge to maximize its revenue in the short run.
VIEWStep 4: Part (c) Linear approximation for cubic cost equation.
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