A manufacturer has been selling 1600 television sets a week at $390 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 is the number of the television sets sold per week. p(x) = 590 - I 10 b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ 2300 x c) If the weekly cost function is 104000 + 130x, how should it set the size of the rebate to maximize its profit? $ 30 x
A manufacturer has been selling 1600 television sets a week at $390 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 is the number of the television sets sold per week. p(x) = 590 - I 10 b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ 2300 x c) If the weekly cost function is 104000 + 130x, how should it set the size of the rebate to maximize its profit? $ 30 x
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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Question
![A manufacturer has been selling 1600 television sets a week at $390 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 is the number of the television sets sold per week.
p(x) =
590 - x
10
X
b) How large rebate should the company offer to a buyer, in order to maximize its revenue?
$ 2300 x
c) If the weekly cost function is 104000 + 130x, how should it set the size of the rebate to maximize its
profit?
$ 30
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a80892-6d38-4c33-b12d-e676cd98c4f8%2F969a2355-e509-4b27-8d90-91baf74d2722%2Fgvhwmpy_processed.png&w=3840&q=75)
Transcribed Image Text:A manufacturer has been selling 1600 television sets a week at $390 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 is the number of the television sets sold per week.
p(x) =
590 - x
10
X
b) How large rebate should the company offer to a buyer, in order to maximize its revenue?
$ 2300 x
c) If the weekly cost function is 104000 + 130x, how should it set the size of the rebate to maximize its
profit?
$ 30
X
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