A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)=75,000+60x and p(x)=300−x/30​, 0≤x≤9000. , 0≤x≤9000 ​(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 ​$4 for each set it​ produces, how many sets should the company manufacture each month to maximize its​ profit? What is the maximum​ profit? What should the company charge for each​ set?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are

​C(x)=75,000+60x and p(x)=300−x/30​, 0≤x≤9000.

, 0≤x≤9000

​(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 ​$4 for each set it​ produces, how many sets should the company manufacture each month to maximize its​ profit? What is the maximum​ profit? What should the company charge for each​ set?

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