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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.

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    Solution Summary

    A linear programming problem is solved. The solution is detailed and well presented.