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A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 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 75000 + 150x, how should it set the size of the rebate to maximize its profit? S

A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 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 75000 + 150x, how should it set the size of the rebate to maximize its profit? S

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 manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 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 75000 + 150x, how should it set the size of the rebate to maximize its profit? S
Transcribed Image Text:A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $22 rebate offered to a buyer, the number of sets sold will increase by 220 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 75000 + 150x, how should it set the size of the rebate to maximize its profit? S
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