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10700%3Db A company produces a special new type of TV. The company has fixed costs of $457,000, and it costs $1500 to produce each TV. The company projects that if it charges a price of $2500 for the TV, it will be able to sell 750 TVs. If the company wants to sell 800 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.)

10700%3Db A company produces a special new type of TV. The company has fixed costs of $457,000, and it costs $1500 to produce each TV. The company projects that if it charges a price of $2500 for the TV, it will be able to sell 750 TVs. If the company wants to sell 800 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.)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 5ECP: In Example 5, the candy manufacturer improves the production of chocolate-covered creams so that the...
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10700%3D6 A company produces a special new type of TV. The company has fixed costs of $457,000, and it costs $1500 to produce each TV. The company projects that if it charges a price of $2500 for the TV, it will be able to sell 750 TVs. If the company wants to sell 800 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.) A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. If the company has fixed costs of $5000 in a given month, and the variable costs are $530 per computer, what price should be charged in order to maximize profit? %3D The price would be $ per item. (Make sure to round to two decimal places.) 1. A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the room to be $150 per night, 140 rooms will be rented. In order to rent 190 rooms, it must lower the price to $100 per night. What price must it set in order to maximize revenue? per night. The price would be $ (Round answer to two decimal places.)
Transcribed Image Text:10700%3D6 A company produces a special new type of TV. The company has fixed costs of $457,000, and it costs $1500 to produce each TV. The company projects that if it charges a price of $2500 for the TV, it will be able to sell 750 TVs. If the company wants to sell 800 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.) A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. If the company has fixed costs of $5000 in a given month, and the variable costs are $530 per computer, what price should be charged in order to maximize profit? %3D The price would be $ per item. (Make sure to round to two decimal places.) 1. A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the room to be $150 per night, 140 rooms will be rented. In order to rent 190 rooms, it must lower the price to $100 per night. What price must it set in order to maximize revenue? per night. The price would be $ (Round answer to two decimal places.)
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