I have some confusion regarding the solution of LPP by solving its dual. I have drawn the following table to indicate possibility/possibilities. I have made an attempt to correlate the two columns but much doubt regarding its correctness.
Please make necessary correction in the direction of arrows to clear my concepts.
$$\bbox[border:1px solid]{ \begin{array}{l|l} \hfill \mathsf{If} \hfill & \hfill \mathsf{Then} \hfill \\ \hline \text{The dual has } \textit{optimal} \text{ feasible solution} & \text{The primal has } \textit{optimal} \text{ feasible solution} \\ \hline \text{The dual has no feasible solution} & \!\begin{array}{l} \text{The primal has no feasible solution, or} \\ \text{the dual has unbounded solution} \end{array} \\ \hline \text{The dual has unbounded solution} & \text{The primal has no feasible solution} \end{array} } $$
Reference: An online LP lecture notes
