A manufacturer has been selling 1000 television sets a week at $400 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). p(x) = (b) How large a rebate should the company offer the buyer in order to maximize its revenue? $ (c) If the company experiences a cost of C(x) = 77,000+ 130x, how should the manufacturer set the size of the rebate in order to maximize its profit?

A manufacturer has been selling 1000 television sets a week at $400 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). p(x) = (b) How large a rebate should the company offer the buyer in order to maximize its revenue? $ (c) If the company experiences a cost of C(x) = 77,000+ 130x, how should the manufacturer set the size of the rebate in order to maximize its profit?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

A manufacturer has been selling 1000 television sets a week at $400 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).
p(x) =
(b) How large a rebate should the company offer the buyer in order to maximize its revenue?
$
(c) If the company experiences a cost of C(x) = 77,000+ 130x, how should the manufacturer set the size of the rebate in order to maximize its profit?
$

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