A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=74,000 + 80x and p(x)=300-0≤x≤6000. 20 (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set (C) If the government decides to tax the company $6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What st company charge for each set? (A) The maximum revenue is $ (Type an integer or a decimal.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...
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A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=74,000 + 80x and p(x)=300-0≤x≤6000.
20
(A) Find the maximum revenue.
(B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set
(C) If the government decides to tax the company $6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What st
company charge for each set?
(A) The maximum revenue is $
(Type an integer or a decimal.)
Transcribed Image Text:A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=74,000 + 80x and p(x)=300-0≤x≤6000. 20 (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set (C) If the government decides to tax the company $6 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What st company charge for each set? (A) The maximum revenue is $ (Type an integer or a decimal.)
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