A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 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 100000 + 160x, how should it set the size of the rebate to maximize its profit?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week.

A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for
each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week.
a) Find the demand function p(x), where x is the number of the television sets sold
per
week.
p(x) =
%3D
b) How large rebate should the company offer to a buyer, in order to maximize its revenue?
c) If the weekly cost function is 100000 + 160x, how should it set the size of the rebate to maximize its
profit?
%24
Transcribed Image Text:A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = %3D b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 100000 + 160x, how should it set the size of the rebate to maximize its profit? %24
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