Convert the Constraints into Linear Equations by Using Slack Variables $\mathrm{z}=4 \mathrm{x}_{1}+12 \mathrm{x}_{2}+7 \mathrm{x}_{3}$

Convert the constraints into linear equations by using slack variables.
-Maximize $\mathrm{z}=4 \mathrm{x}_{1}+12 \mathrm{x}_{2}+7 \mathrm{x}_{3}$
Subject to: $2 x_{1}+4 x_{2}+x_{3} \leq 12$
$$\begin{aligned}& x_{1}+6 x_{2}+x_{3} \leq 24 \\& x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0\end{aligned}$$

A) $2 x_{1}+4 x_{2}+x_{3}+s_{1}=12$
$x_{1}+6 x_{2}+x_{3}+s_{1}=24$
B) $2 x_{1}+4 x_{2}+x_{3}+s_{1}=12$
$\mathrm{x}_{1}+6 \mathrm{x}_{2}+\mathrm{x}_{3}+\mathrm{s}_{2}=24$
C) $2 x_{1}+4 x_{2}+x_{3}=s_{1}+12$
$\mathrm{x}_{1}+6 \mathrm{x}_{2}+\mathrm{x}_{3}=\mathrm{s}_{2}+24$