A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. 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 100000 + 160x, how should it set the size of the rebate to maximize its profit?

A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. 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 100000 + 160x, how should it set the size of the rebate to maximize its profit?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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