$P ( x ) = - x ^ { 3 } + \frac { 27 } { 2 } x ^ { 2 } - 60 x + 100 , x \geq 5$ 5 is an approximation of 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.
A) 5.5 hundred thousand
B) 5 hundred thousand
C) 4 hundred thousand
D) 4.5 hundred thousand

Question

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The Answer of $P ( x ) = - x ^ { 3 } + \frac { 27 } { 2 } x ^ { 2 } - 60 x + 100 , x \geq 5$ 5 is an approximation of 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.
A) 5.5 hundred thousand
B) 5 hundred thousand
C) 4 hundred thousand
D) 4.5 hundred thousand

P(x)=−x3+272x2−60x+100,x≥5P ( x ) = - x ^ { 3 } + \frac { 27 } { 2 } x ^ { 2 } - 60 x + 100 , x \geq 5P(x)=−x3+227​x2−60x+100,x≥5

$P ( x ) = - x ^ { 3 } + \frac { 27 } { 2 } x ^ { 2 } - 60 x + 100 , x \geq 5$