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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)=75,000+40x and p(x)= 300-x/30 ​, 0 less than or equal to x less than or equal to 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 ​$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 should the company charge for each​ set? ​

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