A manufacture has been selling 1850 television sets a week at $420 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 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 eekly cost function is 129500+ 140x, how should it set the size of the rebate to maximize its profit? $
A manufacture has been selling 1850 television sets a week at $420 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 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 eekly cost function is 129500+ 140x, how should it set the size of the rebate to maximize its profit? $
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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Transcribed Image Text:A manufacture has been selling 1850 television sets a week at $420 each. A market survey
indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by
100 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 129500 + 140x, how should it set the size of the rebate to
maximize its profit?
$
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