Problems:
Network Representation and Linear Transformation
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 on Exhibit A attached.
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows in Exhibit B attached.
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 costs of $4 per unit and from Plant-2 to Customer-3 at a costs of $2 per unit. Draw a network representation and formulate a linear programming model for this problem.