$(2).$ A minimization LP is being solved by the $2-$Phase Method. $s_1,s_3$ are the slack variables in constraints

$1,3,$ and $a_2$ is the artificial variables of constraint $2.$ The tableau below is optimal is optimal for phase $1$ :

Which one of the following statements is true:

$($i$).$ The original LP is not feasible.

$($ii$).$ The original LP is feasible but does not have a BFS$.$

$($iii$).$ The tableau shows a BFS for the original LP which is degenerate.

$($iv$).$ The tableau shows a BFS for the original LP which is non$-$degenerate.

$($v$)$ other