A manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 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 108000 + 180x, how should it set the size of the rebate to maximize its profit? dollars

A manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets sold will increase by 120 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 108000 + 180x, how should it set the size of the rebate to maximize its profit? dollars

Name: A manufacture has been selling 1200 television sets a week at $540 ea
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Description: A manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates that for each $12 rebateoffered to a buyer, the number of sets sold will increase by 120 per week.a) Find the function representing the demand p(x), w

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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