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# Linear Programming of Transportation and Shipment Problem

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I need some help with a network diagram and formulation of the linear programming model.

A company ships computers from factories to stores per week as follows:

Factory #1 produces 400 computers per week.
Factory #2 produces 200 computers per week.
Factory #3 produces 150 computers per week.
Store #1 needs 200 computers per week.
Store #2 needs 300 computers per week.
Store #3 needs 250 computers per week.

The shipping costs between factories and stores are as follows:

From Store #1 Store #2 Store #3
Factory #1 25.0 25.0 20.0
Factory #2 25.0 20.0 20.0
Factory #3 20.0 15.0 15.0

Please show me what the network diagram and linear programming model should look like to minimize the cost of transportation so I can compare it to what I have and check my work. Thank you.