# Calculus

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P(x)= -x^3+15x^2-48x+450, x>/3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. find the number of hundred thousands of tires that must be sold to maximize profit.

• Calculus -

0=-3x^2+30x-48
0=x^2-10x+16
0=(x-8)(x-2)
x=8, or x=2
check that.

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