A manufacture has been selling 1000 television sets a week at $360 each. A market survey indicates that for each $29 rebate offered to a buyer, the number of sets sold will increase by 290 per week. a) Find the demand function p(x), where æ 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 60000 + 120æ, how should it set the size of the rebate to maximize its profit?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
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A manufacture has been selling 1000 television sets a week at $360 each. A market survey indicates that for
each $29 rebate offered to a buyer, the number of sets sold will increase by 290 per week.
a) Find the demand function p(æ), where æ 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 60000 + 120x, how should it set the size of the rebate to maximize its profit?
Transcribed Image Text:A manufacture has been selling 1000 television sets a week at $360 each. A market survey indicates that for each $29 rebate offered to a buyer, the number of sets sold will increase by 290 per week. a) Find the demand function p(æ), where æ 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 60000 + 120x, how should it set the size of the rebate to maximize its profit?
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