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A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of producing x units is C(x)=-0.01x +

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A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of producing x units is C(x)=-0.01x + 30x + 200, while the revenue will be R(x) = 23x. Find the profit function P(x) and determine the production level that will maximize profit.

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