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A company manufactures and sells x television sets per month. The monthly cost and pricedemand equations are X C(x) = 73,000 + 50x and p(x)

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A company manufactures and sells x television sets per month. The monthly cost and pricedemand equations are X C(x) = 73,000 + 50x and p(x) = 300 0 s x s 6000. 20 ' (A) Find the maximum revenue. (E) 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 $6 for each set it produces, how many sets should the company manufacture each month to maximize its prot? What is the maximum prot? What should the company charge for each set? (A) The maximum revenue is $ 450000 . (Type an integer or a decimal.) (B) The maximum prot is $ 239500 when 2500 sets are manufactured and sold for$ 175 each. (Type integers or decimals.) (C) When each set is taxed at $6, the maximum profit is $ 215000 when 2400 sets are manufactured and sold for $- each. (Type integers or decimals.)

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