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The 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.

The 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
          1     -   10  12  17   34
          2    10  -   18   8   46
          3    12  18  -    9   27
          4    17  8   9    -    20
          5    34 46 27 20   -
Table 1: Costs of moving a car


                 1       2       3      4       5
Present  115   385  410  480  610
Need      200 500 800 200  300

Table 2: Number of current and needed cars


Write down a linear optimization to compute the least costly way to move the cars such
us the need is met. Solve the problem using MATLAB.



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transporting freight cars across harvest regions.docx

OPTIMIZING FREIGHT CARS ACROSS HARVEST
REGIONS
Question:
The 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....

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