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P(x) = -x 3 +x 2 - 60x + 100, x 5 is an approximation to the total profit (in thousands of dollars) from the

P(x) = -x3+x2- 60x + 100, x 5 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of tires that must be sold to maximize profit.

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