A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6000. If the company has fixed costs of $4000 in a given month, and the variable costs are $500 per computer, what price should be charged in order to maximize profit? The price would be $ per item. (Make sure to round to two decimal places.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. If the company has fixed costs of $4000 in a given month, and the variable costs are $500 per computer, what
price should be charged in order to maximize profit?
The price would be $ per item.
(Make sure to round to two decimal places.)
Transcribed Image Text:A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. If the company has fixed costs of $4000 in a given month, and the variable costs are $500 per computer, what price should be charged in order to maximize profit? The price would be $ per item. (Make sure to round to two decimal places.)
A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs $1400 to produce each TV. The company projects that if it charges a price of $2500 for the TV, it will be able to
sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2200. Assume a linear demand.
What price should be set to earn maximum profits?
It is $ per TV.
(Round answer to two decimal places.)
Transcribed Image Text:A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs $1400 to produce each TV. The company projects that if it charges a price of $2500 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2200. Assume a linear demand. What price should be set to earn maximum profits? It is $ per TV. (Round answer to two decimal places.)
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