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
$$\begin{aligned}& x_{1}+2 x_{2} \geq 24 \\& x_{1}+x_{2} \leq 40\end{aligned}$$
And $\mathrm{z}=6 \mathrm{x}_{1}+5 \mathrm{x}_{2}$ is maximized.

A) $x_{1}=30, x_{2}=10, z=230$
B) $x_{1}=40, x_{2}=0, z=240$
C) $x_{2}=40, x_{1}=0, z=200$
D) $x_{1}=20, x_{2}=20, z=220$