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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?

 Dec 26, 2018

Best Answer 

 #2
avatar+18311 
+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.

 Dec 26, 2018
edited by ElectricPavlov  Dec 26, 2018
 #1
avatar+100473 
+1

Nvm.....see EP's answer below....

 

 

cool cool cool 

 Dec 26, 2018
edited by CPhill  Dec 26, 2018
 #2
avatar+18311 
+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
edited by ElectricPavlov  Dec 26, 2018

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