The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires

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The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires is approximated by P(x) = -x3 + 9x2 + 120x - 400, x ≥ 5. Find the number of hundred thousands of tires that must be sold to maximize profit. Find the maximum profit.

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