A manufacturer estimates that its product can be produced at a total cost of C (x) =45,000+100x+x3

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A manufacturer estimates that its product can be produced at a total cost of C (x) =45,000+100x+x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x)=4600x dollars, determine the level of production x that will maximize the profit. Find the maximum profit.
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