for each $11 rebate offered to a buyer, the number of sets sold will increase by 110 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 127500 + 150x, how should it set the size of the rebate to maximize its profit? Question Help: Video Message instructor Submit Question

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 1700 television sets a week at $450 each. A market survey indicates that
for each $11 rebate offered to a buyer, the number of sets sold will increase by 110 per week.
a) Find the demand function p(x), where a 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 127500 + 150x, how should it set the size of the rebate to maximize its
profit?
$
Question Help: Video Message instructor
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Transcribed Image Text:A manufacturer has been selling 1700 television sets a week at $450 each. A market survey indicates that for each $11 rebate offered to a buyer, the number of sets sold will increase by 110 per week. a) Find the demand function p(x), where a 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 127500 + 150x, how should it set the size of the rebate to maximize its profit? $ Question Help: Video Message instructor Submit Question
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