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A bakery finds that the price they can sell cakes is given by the function p = 580 10x where x is the number of

A bakery finds that the price they can sell cakes is given by the function p = 580 10x where x is the number of cakes sold per day, and p is price. The total cost function of the company is given by c = (30+5x) 2 where x is previously defined, and c is total cost.

(a) Find the profit function [Hint: profit is revenue minus total cost]

(b) Find the quantity that maximizes profit

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