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Problem 5 (20pts). The Kitty Railroad is in the process of planning relocations of freight
cars among the 5 regions of the country to get ready for the fall harvest. Table 1 shows the
cost of moving a car between each pair of regions. And Table 2 shows the current number
of cars in each region and the number needed for harvest shipping. From / To 1 2 3 4 5 — 10 12 17 10—18846 12 18 - 27
17 S 9 — 20
35 46 27 20 — 1 2 3 4 5
Present 11 5 385 410 480 610
Need 200 500 800 200 300 Write down a linear program to compute the least costly way to move the cars such us
the need is met.

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