2) The distribution system for a company consists of two plants, three warehouses, and three customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows: Warehouse 1 2 3 Capacity 1 4 650 Plant 26 450 3 5 24 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are: Customer 1 2 3 1 1 - 5 Warehouse 2 7 3 3 3 4 2 2 Demand 310 270 420 Due to technical reasons, items can not be shipped from Warehouse-1 to Customer-2 temporarily. In addition, direct shipments can be made from Plant-1 to Customer-1 at a cost of $4 per unit and from Plant-2 to Customer-3 at a cost of $2 per unit. Draw a network representation and formulate a linear programming model for this problem.