draw associated network for transportation problem label nodes and arcs with quantities (circles and lines)

23 A firm producing a single product has three plants and four customers. The three plants will produce 3,000,5,000, and 5,000 units, respectively, during the next time period. The firm has made a commitment to sell 4,000 units to customer 1, 3,000 units to customer 2, and at least 3,000 units to customer 3. Both customers 3 and 4 also want to buy as many of the remaining units as possible. The profit associated with shipping a unit from plant i to customer j is given in Table 82 . Formulate a balanced transportation problem that can be used to maximize the company's profit. \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{5}{|c|}{ Table 1} & \multirow[b]{3}{*}{ Supply } \\ \hline & \multicolumn{4}{|c|}{ Customer 1} & \\ \hline \multirow{4}{*}{\begin{tabular}{l} Plant 1 \\ Plant 2 \\ Plant 3 \end{tabular}} & 1 & 2 & 3 & 4 & \\ \hline & 65 & 63 & 62 & 64 & 3000 \\ \hline & 68 & 67 & 65 & 62 & 5000 \\ \hline & 63 & 60 & 59 & 60 & 5000 \\ \hline Demand & 4000 & 3000 & 3000+x & 3000x & 13000 \\ \hline \end{tabular}