Solve the Problem $x$ And $y$ Such That $x+y=36$ And $x y^{2}$ Is Maximized $x=18$

Multiple Choice

Solve the problem.
-Find two positive numbers $x$ and $y$ such that $x+y=36$ and $x y^{2}$ is maximized.

A) $x=18$ and $y=18$
B) $x=12$ and $y=24$
C) $x=9$ and $y=27$
D) $x=1$ and $y=35$