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A manufacturer has been selling 1150 television sets a week at $540 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week. a) Find the linear demand function D(g), where q is the number of the television sets sold per week. D(q) (Use q as your variable) b) How large of a rebate should the manufacturer offer to a buyer, in order to maximize its revenue? (Note that you are asked about a rebate! The rebate is based on the original price of $540 they are charging right now. Also, you will need to remember that the demand function gives the relationship between the price and the quantity.) c) If the weekly cost function is 103500 + 180q, how should the manufacturer set the size of the rebate to maximize its profit?

A manufacturer has been selling 1150 television sets a week at $540 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week. a) Find the linear demand function D(g), where q is the number of the television sets sold per week. D(q) (Use q as your variable) b) How large of a rebate should the manufacturer offer to a buyer, in order to maximize its revenue? (Note that you are asked about a rebate! The rebate is based on the original price of $540 they are charging right now. Also, you will need to remember that the demand function gives the relationship between the price and the quantity.) c) If the weekly cost function is 103500 + 180q, how should the manufacturer set the size of the rebate to maximize its profit?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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A manufacturer has been selling 1150 television sets a week at $540 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week. a) Find the linear demand function D(g), where q is the number of the television sets sold per week. D(q) (Use q as your variable) b) How large of a rebate should the manufacturer offer to a buyer, in order to maximize its revenue? (Note that you are asked about a rebate! The rebate is based on the original price of $540 they are charging right now. Also, you will need to remember that the demand function gives the relationship between the price and the quantity.) c) If the weekly cost function is 103500 + 180q, how should the manufacturer set the size of the rebate to maximize its profit?
Transcribed Image Text:A manufacturer has been selling 1150 television sets a week at $540 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week. a) Find the linear demand function D(g), where q is the number of the television sets sold per week. D(q) (Use q as your variable) b) How large of a rebate should the manufacturer offer to a buyer, in order to maximize its revenue? (Note that you are asked about a rebate! The rebate is based on the original price of $540 they are charging right now. Also, you will need to remember that the demand function gives the relationship between the price and the quantity.) c) If the weekly cost function is 103500 + 180q, how should the manufacturer set the size of the rebate to maximize its profit?
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