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A manufacturer estimates that its product can be produced at a total cost of C ( x ) = 40,000 + 100 x + x

A manufacturer estimates that its product can be produced at a total cost of

C(x) = 40,000 + 100x + x3 dollars.

If the manufacturer's total revenue from the sale of x units is

R(x) = 5200x dollars,

determine the level of production x that will maximize the profit.

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