Convert the Constraints into Linear Equations by Using Slack Variables $z=x_{1}+2 x_{2}+3 x_{3}$

Convert the constraints into linear equations by using slack variables.
-Maximize $z=x_{1}+2 x_{2}+3 x_{3}$
Subject to: $x_{1}+9 x_{2}+3 x_{3} \leq 40$
$$\begin{aligned}& 6 x_{1}+x_{2}+6 x_{3} \leq 50 \\& x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0\end{aligned}$$

A) $x_{1}+9 x_{2}+3 x_{3}=s_{1}+40$
$6 \mathrm{x}_{1}+\mathrm{x}_{2}+6 \mathrm{x}_{3}=\mathrm{s}_{2}+50$
B) $x_{1}+9 x_{2}+3 x_{3}+s_{1}=40$
$6 x_{1}+x_{2}+6 x_{3}+s_{2}=50$
C) $x_{1}+9 x_{2}+3 x_{3}+s_{1}=40$
$6 x_{1}+x_{2}+6 x_{3}+s_{1}=50$