Question 1 (35 Marks) a) Four supply points A, B, C, and D can supply up to a maximum of 13, 15, 10, and 8 units per week respectively to retailers S, T, U, and V through the supply network with capacities as shown. The demand at each retailer is 12 units per week. W, X, Y, and Z are distributors with capacity of X constrained at 15 units per week. Identify which demands can be met, and which supply points can operate at full capacity using Ford- Fulkerson's algorithm. Show your workings. [15] 6 10 A W S 5 4 2 12 9 B X 4 2 12 8 C Y U 6 10 D m N 8 V