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?