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 = −2p 2 + 7p + 8 (0 ≤ p ≤ 4.4) copies sold per week when the price is p...

Express the weekly profitP earned by OHaganBooks.com from the sale ofThe Secret Loves of John O as a function of unit pricep.

P(p) =

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.)

$

Compare your answer in part (b) with the price the company should charge to obtain the largest revenue, $2.81. Explain any difference.

At the price the company should charge to obtain the highest revenue, the cost per book is  ---Select--- decreasing with the increasing price increasing with increasing price neither increasing nor decreasing, while the revenue is  ---Select--- decreasing with increasing price increasing with increasing price neither increasing nor decreasing. Thus the profit is  ---Select--- decreasing with increasing price increasing with increasing price neither increasing nor decreasing, suggesting that the maximum profit will occur at  ---Select--- a lower price this price a higher price. This is  ---Select--- inconsistent consistent with what we found in (b).