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A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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 135000+ 180x, how should it set the size of the rebate to maximize its profit? $ Question Help: Video Submit Question MacBook Pro esc < > a ! @ # $ % & 1 2 3 4 5 6 7 D ก W FRTY

A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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 135000+ 180x, how should it set the size of the rebate to maximize its profit? $ Question Help: Video Submit Question MacBook Pro esc < > a ! @ # $ % & 1 2 3 4 5 6 7 D ก W FRTY

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
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A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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 135000+ 180x, how should it set the size of the rebate to maximize its profit? $ Question Help: Video Submit Question MacBook Pro esc < @ a # $ % & 88888888 1 2 D W 3 4 5 6 FRTY 7
Transcribed Image Text:A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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 135000+ 180x, how should it set the size of the rebate to maximize its profit? $ Question Help: Video Submit Question MacBook Pro esc < @ a # $ % & 88888888 1 2 D W 3 4 5 6 FRTY 7
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