Consider the transportation problem having the following parameter table:

Use each of the following criteria to obtain an initial BF solution. In each case, interactively apply the transportation UV method, starting with this initial solution, to obtain an optimal solution. a) Northwest corner rule. b) Vogels approximation method. c) Least Cost Cell Method

\begin{tabular}{lc|cccc|c} \hline & & \multicolumn{4}{|c|}{ Destination } & \multirow{2}{*}{} \\ \cline { 3 - 5 } & & 1 & 2 & 3 & 4 & Supply \\ \hline \multirow{3}{*}{ Source } & 1 & 3 & 7 & 6 & 4 & 5 \\ & 2 & 2 & 4 & 3 & 2 & 2 \\ \cline { 1 - 4 } & 3 & 4 & 3 & 8 & 5 & 3 \\ \hline Demand & 3 & 3 & 2 & 2 & \\ \hline \end{tabular}