Use the Two-Stage Method to Solve $x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0$

Multiple Choice

Use the two-stage method to solve.
-Find $x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0$ such that
$$\begin{aligned}& x_{1}+3 x_{2}+2 x_{3} \leq 60 \\& x_{1}+2 x_{2}+3 x_{3} \geq 36\end{aligned}$$
And $\mathrm{z}=4 \mathrm{x}_{1}+3 \mathrm{x}_{2}+2 \mathrm{x}_{3}$ is maximized.

A) $x_{1}=60, x_{2}=0, x_{3}=0, z=240$
B) $x_{1}=50, x_{2}=5, x_{3}=0, z=215$
C) $x_{3}=30, x_{1}=0, x_{2}=0, z=60$
D) $x_{2}=20, x_{1}=0, x_{3}=0, z=60$