Answer the Problem $x$ Hundred Thousand Tires Is Given By $p = - x ^ { 3 } + 15 x ^ { 2 } - 48 x + 450 , x \geq 3$

Multiple Choice

Answer the problem.
-An approximation to the total profit (in thousands of dollars) from the sale of $x$ hundred thousand tires is given by $p = - x ^ { 3 } + 15 x ^ { 2 } - 48 x + 450 , x \geq 3$ . Find the number of hundred thousands of tires that must be sold to maximize profit.

A) 8 hundred thousand
B) 10 hundred thousand
C) 3 hundred thousand
D) 5 hundred thousand