A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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? c) If the weekly cost function is 89250+170x89250+170x, how should it set the size of the rebate to maximize its profit?
A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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? c) If the weekly cost function is 89250+170x89250+170x, how should it set the size of the rebate to maximize its profit?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 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?
c) If the weekly cost function is 89250+170x89250+170x, how should it set the size of the rebate to maximize its profit?
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