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A manufacturer estimates that its product can be produced at a total cost of C(x) =...

A manufacturer estimates that its product can be produced at a total cost of C(x) = 45000 + 150x + x 3 dollars If the manufacturer sells the product for $4600 per unit, determine the level of production x, that will maximize the profit. Round your answer to the nearest tenth of a unit. Use calculus to support your answer. Box both your profit function and your final answer.

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