A manufacture has been selling 1600 television sets a week at $540 each. A market survey indicates that for each $27 rebate offered to a buyer, the number of sets sold will increase by 270 per week. a) Find the function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. p(x)= b) How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars c) If the weekly cost function is 144000+180x, how should it set the size of the rebate to maximize its profit? dollars
A manufacture has been selling 1600 television sets a week at $540 each. A market survey indicates that for each $27 rebate offered to a buyer, the number of sets sold will increase by 270 per week. a) Find the function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. p(x)= b) How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars c) If the weekly cost function is 144000+180x, how should it set the size of the rebate to maximize its profit? dollars
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 1600 television sets a week at $540 each. A market survey indicates that for each $27 rebate offered to a buyer, the number of sets sold will increase by 270 per week.
a) Find the function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price.
p(x)=
b) How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars
c) If the weekly cost function is 144000+180x, how should it set the size of the rebate to maximize its profit? dollars
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