Question: A company manufactures and sells x electric stoves per month. The monthly cost and price-demand equations are C(x) = 350x + 50,000 and p = 500 – 0.025x, 0 ≤ x ≤ 20,000.

(A) Find the maximum revenue.

(B) How many stoves should the company manufacture each month to maximize its profit? What is the maximum monthly profit?? How much should the company charge for each stove?

(C) If the government decides to tax the company $20 for each stove it produces, how many stoves should the company manufacture each month to maximize its profit? What is the maximum monthly profit? How much should the company charge for each stove?