Demand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks on the market, is given by q = -2p² + 6p + 8 (0 < p < 4) copies sold per week when the price is p dollars. Taking into account storage and shipping, it costs OHaganBooks.com C = 3g dollars to sell q copies of Margó Dufón's The Secret Loves of John O in a week. (a) Express the weekly profit P earned by OHaganBooks.com from the sale of The Secret Loves of John O as a function of unit price p. P(p) = (b) What price should the company charge to get the largest weekly profit? (Round your answer to the nearest cent.) 2$ What is the maximum possible weekly profit? (Round your answer to the nearest cent.) $

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.4: Simulation With Built-in Excel Tools
Problem 14P
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Demand for The Secret Loves of John 0, a romance novel by Margó Dufón that flopped after two weeks on the market, is
given by
q = -2p? + 6p + 8 (0 < p < 4)
copies sold per week when the price is p dollars.
Taking into account storage and shipping, it costs OHaganBooks.com
C =
3q
dollars to sell q copies of Margó Dufón's The Secret Loves of John O in a week.
(a) Express the weekly profit P earned by OHaganBooks.com from the sale of The Secret Loves of John O as a function of
unit price p.
P(p)
(b) What price should the company charge to get the largest weekly profit? (Round your answer to the nearest cent.)
$
What is the maximum possible weekly profit? (Round your answer to the nearest cent.)
$
Transcribed Image Text:Demand for The Secret Loves of John 0, a romance novel by Margó Dufón that flopped after two weeks on the market, is given by q = -2p? + 6p + 8 (0 < p < 4) copies sold per week when the price is p dollars. Taking into account storage and shipping, it costs OHaganBooks.com C = 3q dollars to sell q copies of Margó Dufón's The Secret Loves of John O in a week. (a) Express the weekly profit P earned by OHaganBooks.com from the sale of The Secret Loves of John O as a function of unit price p. P(p) (b) What price should the company charge to get the largest weekly profit? (Round your answer to the nearest cent.) $ What is the maximum possible weekly profit? (Round your answer to the nearest cent.) $
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,