Use the Two-Stage Method to Solve $z=12 x_{1}+15 x_{2}$ Subject To $x_{1}+x_{2}=10$

Use the two-stage method to solve.
-Maximize $z=12 x_{1}+15 x_{2}$
Subject to: $x_{1}+x_{2}=10$
$3 x_{1}+3 x_{2} \leq 36$
$4 \mathrm{x}_{1}+2 \mathrm{x}_{2} \geq 18$
$\mathrm{x}_{1} \geq 0, \mathrm{x}_{2} \geq 0$

A) Maximum is 120 for $x_{1}=10, x_{2}=0$
B) Maximum is 144 for $\mathrm{x}_{1}=2, \mathrm{x}_{2}=8$
C) Maximum is 150 for $x_{1}=0, x_{2}=10$
D) Maximum is 147 for $\mathrm{x}_{1}=1, \mathrm{x}_{2}=9$