A company manufactures and sells x television sets per month.The monthly cost and? price-demand equations are ?C(x)equals72comma 000 plus 70 x and p left parenthesis x right parenthesisequals 300 minus StartFraction x Over 20 EndFraction ?, 0less thanor equalsxless than or equals6000. ?(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 totax the company ?$4 for each set it? produces, how many sets shouldthe company manufacture each month to maximize its? profit? What isthe maximum? profit? What should the company charge for each? set??(A) The maximum revenue is ?$ nothing. ?(Type an integer or a?decimal.) ?(B) The maximum profit is ?$ nothing when nothing setsare manufactured and sold for ?$ nothing each. ?(Type integers or?decimals.) ?(C) When each set is taxed at ?$4?, the maximum profitis ?$ nothing when nothing sets are manufactured and sold for ?$nothing each. ?(Type integers or? decimals.)
