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You sell Things. The weekly demand function for q Things is p = 400 1 2 q dollars per Thing, and the average cost of production and sale is AC(q) =...

You sell Things. The weekly demand function for q Things is p = 400 − 1 2 q dollars per Thing, and the average cost of production and sale is AC(q) = 200 + 2q dollars per Thing.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

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