A manufacturer has been selling 1350 television sets a weekat $540 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 function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. P(x) = B. How large rebate should the company offer to a buyer, in order to maximize its revenue? ___ dollars C. If the weekly cost function is 121500+180x, how should it set the size of the rebate to maximize its profit? ___ dollars
A manufacturer has been selling 1350 television sets a weekat $540 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 function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. P(x) = B. How large rebate should the company offer to a buyer, in order to maximize its revenue? ___ dollars C. If the weekly cost function is 121500+180x, how should it set the size of the rebate to maximize its profit? ___ dollars
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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A manufacturer has been selling 1350 television sets a weekat $540 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 function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. P(x) =
B. How large rebate should the company offer to a buyer, in order to maximize its revenue? ___ dollars
C. If the weekly cost function is 121500+180x, how should it set the size of the rebate to maximize its profit? ___ dollars
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