A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates that for each $24 rebate offered to a buyer, the number of sets sold will increase by 240 per week. a) Find the demand function p(x)p(x), where xx is the number of the television sets sold per week. p(x)=p(x)=   b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $   c) If the weekly cost function is 89250+170x, how should it set the size of the rebate to maximize its profit? $

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates that for each $24 rebate offered to a buyer, the number of sets sold will increase by 240 per week. a) Find the demand function p(x)p(x), where xx is the number of the television sets sold per week.
p(x)=p(x)=  

b) How large rebate should the company offer to a buyer, in order to maximize its revenue?
$  

c) If the weekly cost function is 89250+170x, how should it set the size of the rebate to maximize its profit?
$  

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