A company manufactures and sells x television sets per month. The monthly cost andprice-demand equations are C(x)=75,000+80x and p(x)=300x/20, 0x6000.

(A) Find the maximum revenue.

(B) Find the maximumprofit, the production level that will realize the maximumprofit, and the price the company should charge for each television set.

(C) If the government decides to tax the company $6 for each set itproduces, how many sets should the company manufacture each month to maximize itsprofit? What is the maximumprofit? What should the company charge for eachset?