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    Transportation Problem Formulated as LPP

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    Steel mills in three cities produce the following amounts of steel.

    Location Weekly Production

    A. Bethlehem 150
    B. Birmingham 210
    C. Gary 320
    = 680

    These mills supply steel to four cities where manufacturing plants have the following demand.

    Location Weekly Demand (tons)
    1. Detroit 130
    2. St. Louis 70
    3. Chicago 180
    4. Norfolk 240
    = 620
    Shipping costs per ton of steel are as follows.

    To
    From 1 2 3 4
    A $14 $9 $16 $18
    B 11 8 7 16
    C 16 12 10 22

    Because of a truckers' strike, shipments are prohibited from Birmingham to Chicago. Formulate this problem as a linear programming model and solve using the computer.

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