Coal is mined and processed

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Reference no: EM132236210

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?

Note: Do NOT solve the problem after formulating.

Reference no: EM132236210

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