$(3$ points$)$ A max LP has optimal tableau Assume columns labeled as $\backslash [\backslash$begin$\{$array$\}\{$l$\}\backslash$begin$\{$array$\}\{$llllllll$\}$ z & x$\_\{1\}$ & x$\_\{2\}$ & x$\_\{3\}$ & s$\_\{1\}$ & s$\_\{2\}$ & s$\_\{3\}$ & $\backslash$text $\{$ rhs $\}\backslash$end$\{$array$\}\backslash \backslash \{\backslash$left$[\backslash$begin$\{$array$\}\{$cccccccc$\}1$ & $0$ & $5$ & $0$ & $0$ & $10$ & $10$ & $280\backslash \backslash 0$ & $0$ & $-2$ & $0$ & $1$ & $2$ & $-8$ & $24\backslash \backslash 0$ & $0$ & $-2$ & $1$ & $0$ & $2$ & $-4$ & $8\backslash \backslash 0$ & $1$ & $1\mathrm{.}25$ & $0$ & $0$ & $-0\mathrm{.}5$ & $1\mathrm{.}5$ & $2$