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Transportation System
A company which manufactures product in five plants ships locally using its own transportation system, but has orders which must be sent to locations too far to be serviced by the local fleet. It therefore contracts with a middle distance carrier to complete its shipping. The locations of the manufacturing plants and the amount of product available to be shipped per week are show in the chart below.
Manufacturing Locations
Units Available per Week
Columbia
450
Macon
370
Huntsville
550
Greensboro
290
Knoxville
360
Total Available
2020
The seven locations and their weekly demand are shown in the chart below.
Destination Cities
Weekly Demand
Norfolk
305
Charleston
253
Gainesville
328
Mobile
225
Memphis
420
Louisville
158
Roanoke
210
1899
Shipping costs per unit (in dollars) between plants and the destination cities are as follows:
Shipping Costs
27
13
31
42
48
51
44
19
23
18
36
43
16
20
39
28
25
37
32
17
47
14
34
The transportation company wants to identify its optimal shipping plan that will satisfy demand at the lowest aggregate shipping cost.
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