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  3. a company manufactures and sells x television sets per month...

Question: a company manufactures and sells x television sets per month...

Question details

A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)=73,000+60x and p(x)=200−(x/30​), 0≤x≤6000.

​(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 ​$6 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? ​

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(A) The maximum revenue is ​$ ​(Type an integer or a​ decimal.) ​

(B) The maximum profit is when sets are manufactured and sold for each. ​(Type integers or​ decimals.)

​(C) When each set is taxed at ​$6​, the maximum profit is when sets are manufactured and sold for each. ​(Type integers or​ decimals.)

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