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Suppose a company has fixed costs of $28,000 and variable cost per unit of 2/5 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1250 - 3/5 x dollars per unit.

(a) Find the break-even points.

(b) Find the maximum revenue.

(c) Form the profit function from the cost and revenue functions and find maximum profit.

(d) What price will maximize the profit?

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