Use the Two-Stage Method to Solve $w=x_{1}+2 x_{2}$ Subject To $2 \mathrm{x}_{1}+\mathrm{x}_{2}=18$

Use the two-stage method to solve.
-Minimize $w=x_{1}+2 x_{2}$
Subject to: $2 \mathrm{x}_{1}+\mathrm{x}_{2}=18$
$2 x_{1}+2 x_{2} \geq 17$
$\mathrm{x}_{1}+\mathrm{x}_{2} \leq 9$
$\mathrm{x}_{1} \geq 0, \mathrm{x}_{2} \geq 0$

A) Minimum is 9 for $x_{1}=0, x_{2}=9$
B) Minimum is 36 for $x_{1}=0, x_{2}=18$
C) Minimum is 12 for $x_{1}=8, x_{2}=2$
D) Minimum is 9 for $x_{1}=9, x_{2}=0$