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A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations...

A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are

​C(x)=75000+50x and p(x)=300-x/30, 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 ​$5 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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