A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)equals=73 comma 000 plus 50 x73,000+50x and p left parenthesis x right parenthesis equals 300 minus StartFraction x Over 30 EndFractionp(x)=300−
x
30, 0less than or equals≤xless than or equals≤90009000.
(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 $44 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?