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A manufacturer has been selling 1800 television sets a week at $480 each. A market survey indicates that for each $19 rebate offered to a buyer, the number of sets sold will increase by 190 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 144000 + 160x, how should it set the size of the rebate to maximize its profit? $

A manufacturer has been selling 1800 television sets a week at $480 each. A market survey indicates that for each $19 rebate offered to a buyer, the number of sets sold will increase by 190 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 144000 + 160x, how should it set the size of the rebate to maximize its profit? $

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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A manufacturer has been selling 1800 television sets a week at $480 each. A market survey indicates that for each $19 rebate offered to a buyer, the number of sets sold will increase by 190 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 144000 + 160x, how should it set the size of the rebate to maximize its profit? $
Transcribed Image Text:A manufacturer has been selling 1800 television sets a week at $480 each. A market survey indicates that for each $19 rebate offered to a buyer, the number of sets sold will increase by 190 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 144000 + 160x, how should it set the size of the rebate to maximize its profit? $
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