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A manufacture has been selling 1700 television sets a week at $390 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 manufacture has been selling 1700 television sets a week at $390 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A manufacture has been selling 1700 television sets a week at $390 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 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 110500 + 130x, how should it set the size of the rebate to maximize its profit? $4
Transcribed Image Text:A manufacture has been selling 1700 television sets a week at $390 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 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 110500 + 130x, how should it set the size of the rebate to maximize its profit? $4
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