Supply Chain Loghtics (3 points) Consider the following distribution system: - Single product. - Two plants, referred to as plant p1 and plant p2. - Plant p2 has an annual capacity of 40,000 units. - The two plants have the same production costs. - Two existing warehouses, referred to as warehouse wi and warehouse w2, have identical warehouse handing costs. - Three markets areas, c1,c2, and c3, with demands of 50,000,100,000 and 50,000 , respectively. Table iprovides distribution cost per unit. For instance, distributing one unit from plant p1 to warehouse w2 costs $5. Table 1: DISTRIBUTION COSTS PER UNIT Our objective is to find a distribution stratesv that specifies the flow of products from the suppliers theough the warehouses to the maket areas without violating the plant p2 production capacify constraints, that sathfies market area demands, and that minimizes total distnbution costs. Observe that this problem is significantly easier to solve than the logistics network conffguration problem discussed earlier. Here we assume that facility location is not an issue, and we merely atterpt to find an effective distribution strategr. For this purpose, consider the following question: Qur 13 show the path (without this, no credit will be given) for the below question/answer. If you only consider Q, and ignore Cl and C completely, what would be the total distribution cost for C2? You need to show the procedure and no credit will be given. \# 2) Convert the following diagram into the table. (this question is not related to the above question. Completely independent. No need for any calculation. \begin{tabular}{|l|c|c|c|c|c|} \hline Facilitywarehouse & p1 & p2 & c1 & c2 & c3 \\ \hline w1 & 2 & 2 & 3 & 3 & 4 \\ \hline W2 & 3 & 0 & 5 & 2 & 3 \\ \hline \end{tabular}