A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72000 + 40x and p(x) = 300 – x/20 ,0≤x≤6000.
A) Find the maximum revenue.
B) Find the maximum profit, the production level that will realize the maximum profit, and the prices the company should charge for each television set.
C) If the government decides to tax the company 450000.
B) The maximum profit is 170 each.
C) When each set is taxed at 255680 when 2560 set are manufactured and sold for $172 each.