Marketing research has found that at a price of $179.95 per unit, sales would be 175,000 units each week. If that price were to be raised by $10 per unit then sales would decrease by 5,000 units each week. Production costs for this item are $54 per unit with weekly overhead costs of $225,000. Let x represent the number of units produced and sold each week.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter7: Economies Of Scale And Scope
Section: Chapter Questions
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Marketing research has found that at a price of $179.95 per unit, sales would be 175,000 units each
week.
If that price were to be raised by $10 per unit then sales would decrease by 5,000 units each week.
Production costs for this item are $54 per unit with weekly overhead costs of $225,000.
Let x represent the number of units produced and sold each week.
Transcribed Image Text:Marketing research has found that at a price of $179.95 per unit, sales would be 175,000 units each week. If that price were to be raised by $10 per unit then sales would decrease by 5,000 units each week. Production costs for this item are $54 per unit with weekly overhead costs of $225,000. Let x represent the number of units produced and sold each week.
d
Profit(x)
dx
9) Find the marginal profit function.
10) How many units should they sell in order to maximize their profits?
11) What price should they charge in order to maximize their profits?
Transcribed Image Text:d Profit(x) dx 9) Find the marginal profit function. 10) How many units should they sell in order to maximize their profits? 11) What price should they charge in order to maximize their profits?
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