A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. i. Find the demand function p(x), where is the number of the television sets sold per week. p(x) = ii. How large rebate should the company offer to a buyer, in order to maximize its revenue? $ iii. If the weekly cost function is 108000 + 160x, how should it set the size of the rebate to maximize its profit? $
A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. i. Find the demand function p(x), where is the number of the television sets sold per week. p(x) = ii. How large rebate should the company offer to a buyer, in order to maximize its revenue? $ iii. If the weekly cost function is 108000 + 160x, 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 1350 television sets a week at $480 each. A market survey indicates that for each $18
rebate offered to a buyer, the number of sets sold will increase by 180 per week.
i. Find the demand function p(x), where æ is the number of the television sets sold per week.
p(x) =
ii. How large rebate should the company offer to a buyer, in order to maximize its revenue? $
iii. If the weekly cost function is 108000 + 160x, how should it set the size of the rebate to maximize its profit? $
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