A manufacturer has been selling 1650 television sets a week at $510 each. A market survey indicates that for each $20 rebate offered to a buyer, the number of sets sold will increase by 200 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 140250+ 170x, how should it set the size of the rebate to maximize its profit? $ Question Help: Video Submit Question

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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A manufacturer has been selling 1650 television sets a week at $510 each. A market survey indicates that for
each $20 rebate offered to a buyer, the number of sets sold will increase by 200 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?
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Terr
c) If the weekly cost function is 140250+ 170x, how should it set the size of the rebate to maximize its
profit?
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Transcribed Image Text:a Question 12 A manufacturer has been selling 1650 television sets a week at $510 each. A market survey indicates that for each $20 rebate offered to a buyer, the number of sets sold will increase by 200 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? Priv Terr c) If the weekly cost function is 140250+ 170x, how should it set the size of the rebate to maximize its profit? Question Help: Video Submit Question @ 2 #3 $ 4 A & 11
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