emand 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 + 5p + 7  (0 ≤ p ≤ 3.5) 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.) $ __________

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 + 5p + 7  (0 ≤ p ≤ 3.5)
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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