a) How large rebate should the company offer to a buyer, in order to maximize its revenue? $4 b) If the weekly cost function is 135000 + 180x, 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 1500 television sets a week at $540 each. A market survey indicates
that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week.
The price-demand function p(x)
+ 690, where T is the number of the television sets
10
%3D
sold per week.
a) How large rebate should the company offer to a buyer, in order to maximize its revenue?
$4
b) If the weekly cost function is 135000 + 180x, 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 1500 television sets a week at $540 each. A market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. The price-demand function p(x) + 690, where T is the number of the television sets 10 %3D sold per week. a) How large rebate should the company offer to a buyer, in order to maximize its revenue? $4 b) If the weekly cost function is 135000 + 180x, how should it set the size of the rebate to maximize its profit? Question Help: DVideo Submit Question Type here to search
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