Suppose a companys total cost for a product is given by C(x) = 15,000 + 35x +

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Suppose a company’s total cost for a product is given by C(x) = 15,000 + 35x + 0.1x2 and the total revenue for the product is given by R(x) = 285x – 0.9x2, where x is the number of units produced and sold.

(a) Find the profit function.

(b) Determine the number of units at which the profit for the product is maximized and find the maximum possible profit.

(c) Find the break-even point(s) for the product.

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