\begin{array}{rrrrrrr|rr}
& x_1 & x_2 & s_1 & s_2 & s_3 & w & & \text{ratio} \\ \hline
s_1 & 0 & 1 & 1 & 0 & 0 & 0 & 8 & - \\
w & 1^* & -1 & 0 & -1 & 0 & 1 & 4 & 4 \\
s_3 & 1 & 1 & 0 & 0 & 1 & 0 & 12 & 12 \\ \hdashline
& 1 & -1 & 0 & -1 & 0 & 0 & 4 & \\ \hline
s_1 & 0 & 1 & 1 & 0 & 0 & 0 & 8 & \\
x_1 & 1 & -1 & 0 & -1 & 0 & 1 & 4 & \\
s_3 & 0 & 2 & 0 & 2 & 1 & -1 & 8 & \\ \hdashline
& 0 & 0 & 0 & 0 & 0 & -1 & 0 &
\end{array}
hello this is jsut developing and testing
right this is awesome
\require{cancel}
y+\cancel{x}
\require{amscd}
\begin{CD}
A @>a>> B\\
@V b V V= @VV c V\\
C @>>d> D
\end{CD}
{{ plotlychart }}