Economics The demand for product Q is given by Q = 100 -.25P and the total cost of Q by: 1 STC=3000+40Q-5Q² +=Q³ 3 g. At what positive level of Q is marginal profit maximized? You found the profit function in (e) above. Marginal profit is the first derivative of the profit function (e). Next, find the derivative of marginal profit, set it equal to zero, and solve for Q. This is the Q that maximizes marginal profit. h. What price per unit should be charged for each unit of Q found in (g)? Simply plug the Q you got in (g) into the same price function you found in (a) and also used in (d).

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter8: Production And Costs
Section: Chapter Questions
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Economics
The demand for product Q is given by Q = 100 -.25P and the total cost of Q by:
1
STC=3000+40Q-5Q² +=Q³
3
g. At what positive level of Q is marginal profit maximized? You found the
profit function in (e) above. Marginal profit is the first derivative of the
profit function (e). Next, find the derivative of marginal profit, set it equal
to zero, and solve for Q. This is the Q that maximizes marginal profit.
h. What price per unit should be charged for each unit of Q found in (g)?
Simply plug the Q you got in (g) into the same price function you found
in (a) and also used in (d).
Transcribed Image Text:Economics The demand for product Q is given by Q = 100 -.25P and the total cost of Q by: 1 STC=3000+40Q-5Q² +=Q³ 3 g. At what positive level of Q is marginal profit maximized? You found the profit function in (e) above. Marginal profit is the first derivative of the profit function (e). Next, find the derivative of marginal profit, set it equal to zero, and solve for Q. This is the Q that maximizes marginal profit. h. What price per unit should be charged for each unit of Q found in (g)? Simply plug the Q you got in (g) into the same price function you found in (a) and also used in (d).
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