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A company manufactures and sells x mechanical pencils per month. The weekly revenue function is R(x) = 1000x - 0.2x ^ 2 the cost function

A company manufactures and sells x mechanical pencils per month. The weekly revenue function is R(x) = 1000x - 0.2x ^ 2 the cost function is C(x) = 100, 000 + 220x . The weekly price demand equation is p = 1000 - 0.2x.

Find the profit function. Find the domain of the profit function. Give your answer in interval notation. Use calculus to find the maximum weekly profit.

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