A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is p dollars (where p is less than or equal to 26), then the number of books sold per month is 130-5p. What price should the store charge to maximize its revenue?

ma931 Dec 26, 2018

#2**+1 **

If the number of books sold = 130-5p then revenue will be (130-5p)p = -5p^2+130p

the maximum can be found by graphing or by the fact that the max will be -b/2a = -130/-10 = 13 dollars/book

[130-5(13)] (13) = $845 max revenue.

ElectricPavlov Dec 26, 2018

#2**+1 **

Best Answer

If the number of books sold = 130-5p then revenue will be (130-5p)p = -5p^2+130p

the maximum can be found by graphing or by the fact that the max will be -b/2a = -130/-10 = 13 dollars/book

[130-5(13)] (13) = $845 max revenue.

ElectricPavlov Dec 26, 2018