A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates that for each $23 rebate offered to a buyer, the number of sets sold will increase by 230 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 77000 + 140x, how should it set the size of the rebate to maximize its profit?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates that for
each $23 rebate offered to a buyer, the number of sets sold will increase by 230 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 77000 + 140x, how should it set the size of the rebate to maximize its profit?
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Transcribed Image Text:A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates that for each $23 rebate offered to a buyer, the number of sets sold will increase by 230 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 77000 + 140x, how should it set the size of the rebate to maximize its profit? Add Work Check Answer
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