Here is the initial Big$-$M non$-$tableau for a Maximization LP $\backslash [\backslash$left$[\backslash$begin$\{$array$\}\{$ccccccccc$\}$ z & x$\_\{1\}$ & x$\_\{2\}$ & x$\_\{3\}$ & s$\_\{1\}$ & s$\_\{2\}$ & e$\_\{3\}$ & a$\_\{3\}$ & $\backslash$text $\{$ rhs $\}\backslash \backslash \backslash$hline $1$ & $-10$ & $-8$ & $-4$ & $0$ & $0$ & $0$ & $1000$ & $0\backslash \backslash 0$ & $12$ & $0$ & $1$ & $1$ & $0$ & $0$ & $0$ & $120\backslash \backslash 0$ & $2$ & $1$ & $3$ & $0$ & $1$ & $0$ & $0$ & $90\backslash \backslash 0$ & $25$ & $17$ & $20$ & $0$ & $0$ & $-1$ & $1$ & $24\backslash$end$\{$array$\}\backslash$right$]\backslash ]$ and here is the optimal tableau: $\backslash [\backslash$left$[\backslash$begin$\{$array$\}\{$ccccccccc$\}$ z & x$\_\{1\}$ & x$\_\{2\}$ & x$\_\{3\}$ & s$\_\{1\}$ & s$\_\{2\}$ & e$\_\{3\}$ & a$\_\{3\}$ & $\backslash$text $\{$ rhs $\}\backslash \backslash \backslash$hline $1$ & $6$ & $0$ & $20$ & $0$ & $8$ & $0$ & $1000$ & $720\backslash \backslash 0$ & $12$ & $0$ & $1$ & $1$ & $0$ & $0$ & $0$ & $120\backslash \backslash 0$ & $9$ & $0$ & $31$ & $0$ & $17$ & $1$ & $-1$