Question

A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)equals72 comma 000 plus 70 x and p left parenthesis x right parenthesis equals 300 minus StartFraction x Over 20 EndFraction ​, 0less than or equalsxless than or equals6000. ​(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 ​$4 for each set it​ produces, how many sets should the company manufacture each month to maximize its​ profit? What is the maximum​ profit? What should the company charge for each​ set? ​(A) The maximum revenue is ​$ nothing. ​(Type an integer or a​ decimal.) ​(B) The maximum profit is ​$ nothing when nothing sets are manufactured and sold for ​$ nothing each. ​(Type integers or​ decimals.) ​(C) When each set is taxed at ​$4​, the maximum profit is ​$ nothing when nothing sets are manufactured and sold for ​$ nothing each. ​(Type integers or​ decimals.)

Answer 1