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A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 100000 + 160x, how should it set the size of the rebate to maximize its profit?

A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 100000 + 160x, how should it set the size of the rebate to maximize its profit?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 3SE: The Oxford Dictionary defines the word nominal asa value that is “stated or expressed but...
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A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week.

A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = %3D b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 100000 + 160x, how should it set the size of the rebate to maximize its profit? %24
Transcribed Image Text:A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates that for each $28 rebate offered to a buyer, the number of sets sold will increase by 280 per week. a) Find the demand function p(x), where x is the number of the television sets sold per week. p(x) = %3D b) How large rebate should the company offer to a buyer, in order to maximize its revenue? c) If the weekly cost function is 100000 + 160x, how should it set the size of the rebate to maximize its profit? %24
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