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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≤32), then the number of books sold per month is 128-4p. What price should the store charge to maximize its revenue?

 Jun 2, 2020
 #1
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revenue = price * #sold

              = p * (128-4p)

              = -4p2  + 128p               max p will be   - b/2a    =     -128/-8 =  16

 

   max revenue will be     -4(162) + 128 (16) = 1024

 Jun 3, 2020

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