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a manufacturer of a product finds that, for the first 600 units that are produced and sold, the profit is $40 per unit. The profit

a manufacturer of a product finds that, for the first 600 units that are produced and sold, the profit is $40 per unit. The profit on each of the units beyond 600 is decreased by $0.05 times the number of additional units produced. For example, the total profit when 602 units are produced and sold is 600(40) + 2(39.90). What level of output will maximize profit?

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