A company manufactures and sells x television sets per month.The monthly cost and? price-demand equations are ?C(x)=75,000+40xand p(x)= 300-x/30 ?, 0 less than or equal to x less than or equalto 9000.
?(A) Find the maximum revenue. ?
(B) Find the maximum? profit, the production level that willrealize the maximum? profit, and the price the company shouldcharge for each television set. ?
(C) If the government decides to tax the company ?$6 for eachset it? produces, how many sets should the company manufacture eachmonth to maximize its? profit? What is the maximum? profit? Whatshould the company charge for each? set? ?