A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar. (a) Find the demand function (price as a function of units sold). 1 -x + 550 10 p(x) (b) How large a rebate should the company offer the buyer in order to maximize its revenue? Enter a number. (c) If the company experiences a cost of C(x) $ 73,000 + 150x, how should the manufacturer set the size of the rebate in order to maximize its profit? %3D

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
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A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per
week. Round your answers to the nearest dollar.
(a) Find the demand function (price as a function of units sold).
1
-x + 550
10
p(x)
(b) How large a rebate should the company offer the buyer in order to maximize its revenue?
Enter a number.
(c) If the company experiences a cost of C(x)
$
73,000 + 150x, how should the manufacturer set the size of the rebate in order to maximize its profit?
%3D
Transcribed Image Text:A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar. (a) Find the demand function (price as a function of units sold). 1 -x + 550 10 p(x) (b) How large a rebate should the company offer the buyer in order to maximize its revenue? Enter a number. (c) If the company experiences a cost of C(x) $ 73,000 + 150x, how should the manufacturer set the size of the rebate in order to maximize its profit? %3D
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