# 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.

See attached file for charts related to this problem.

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Exhibit A

See attachment for chart.

Exhibit B

Answer:

Let P ...

#### Solution Summary

The solution gives detailed steps on drawing network diagram and setting up a linear programming model. Charts and diagrams are also included in the answer given.