Use the Two-Stage Method to Solve $x_{1} \geq 0$ And $x_{2} \geq 0$

Multiple Choice

Use the two-stage method to solve.
-Find $x_{1} \geq 0$ and $x_{2} \geq 0$ such that
$3 x_{1}+3 x_{2} \geq 60$
$2 x_{1}+5 x_{2} \leq 120$
And $z=5 x_{1}+4 x_{2}$ is maximized.

A) $x_{1}=40, x_{2}=8, z=232$
B) $x_{1}=60, x_{2}=0, z=300$
C) $x_{1}=0, x_{2}=24, z=96$
D) $x_{1}=30, x_{2}=20, z=230$