3. (5 points) The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs (in dollars per unit) from each plant to each warehouse are as follows: Warehouse Plant 1 2 Capacity 1 4 F 453 2 E'- 5 EDD 3 5 6 383 Customer demand and shipping costs per unit (33) from each warehouse to each customer are as follows: Customer Warehouse 1 2 3 4 1 6 4 8 4 2 3 6 F 3' Demand 3GBI 300 300 400 Show a network model and linear programming formulation. Solve using the Management Scientist and state your solution