A manufacturer has been selling 1000 flat-screen TVs aweek at $450 each. A market survey indicates that for each $10rebate offered to the buyer, the number of TVs soldwill increase by 100 per week.(a) Find the demand function.(b) How large a rebate should the company offer the buyerin order to maximize its revenue?(c) If its weekly cost function is  C(x) =68,000 +15x,how should the manufacturer set the size of the rebatein order 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 manufacturer has been selling 1000 flat-screen TVs a
week at $450 each. A market survey indicates that for each $10
rebate offered to the buyer, the number of TVs sold
will increase by 100 per week.
(a) Find the demand function.
(b) How large a rebate should the company offer the buyer
in order to maximize its revenue?
(c) If its weekly cost function is  C(x) =68,000 +15x,
how should the manufacturer set the size of the rebate
in order to maximize its profit?

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