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The total profit (in thousands of dollars) from the sale of the X hundred thousand automobile tires is approximated by P(x)=-x^3 +9x^2 +120x-400, x> or

The total profit (in thousands of dollars) from the sale of the X hundred thousand automobile tires is approximated by

P(x)=-x^3 +9x^2 +120x-400, x> or equal to 5

a) find the number of hundred thousands of tires that must be sold to maximize profit

b) what is the maximum profit

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