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Coal is mined and processed at the following four mines in Kentucky, West Virginia, and Virginia:
Location Capacity (tons)
A. Cabin Creek 120
B. Surry 100
C. Old Fort 115
D. McCoy 100
These mines supply the following amount of coal to utility power plants in three cities:
Plant Demand (tons)
1. Richmond 130
2. Baltimore 130
3. Durham 140
The railroad shipping costs (in thousands of dollars) per ton of coal are shown in the following table.
To (cost in $1,000s)
From 1 2 3
____________________________________________
A 10 12 7.5
B 13 11 6.5
C 9 5 12.2
D 11 8 10.4
Because of railroad construction, shipments are prohibited from Old Fort to Durham. For this transportation problem:
(a) Define the decision variables.
(b) Determine the objective function. What does it represent?
(c) Determine all the constraints. Briefly describe what each constraint represents.
Note: Do NOT solve the problem after formulating.
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