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?
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?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.S: Summary
Problem 8S: What interest rate would you need to get to double an investment of 200 in eight years?
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Question
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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