a. set up the transportation tableau for this problem, determine the initial solution using VAM and compute total cost b. solve using MODI c. are there multiple optimal solition? explain, if there are alternative solution, identify them d. formulate this problem as a linear programming model

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a. set up the transportation tableau for this problem, determine the initial solution using VAM and compute total cost

b. solve using MODI

c. are there multiple optimal solition? explain, if there are alternative solution, identify them

d. formulate this problem as a linear programming model

Coal is mined and processed at the following four mines in Kentucky, West Virginia, and Virginia.
Location
Сарасity (tons)
A. Cabin Creek
90
B. Surry
C. Old Fort
D. McCoy
50
80
60
280
These mines supply the following amount of coal to utility power plants in three cities.
Plant
Demand (tons)
1. Richmond
120
2. Winston-Salem
100
3. Durham
110
330
The railroad shipping costs ($1,000s) per ton of coal are shown in the following table. Because of
railroad construction, shipments are now prohibited from Cabin Creek to Richmond.
To
From
1
3
A
$ 7
$10
B
12
9.
7
3
11
D
9.
7
541N
Transcribed Image Text:Coal is mined and processed at the following four mines in Kentucky, West Virginia, and Virginia. Location Сарасity (tons) A. Cabin Creek 90 B. Surry C. Old Fort D. McCoy 50 80 60 280 These mines supply the following amount of coal to utility power plants in three cities. Plant Demand (tons) 1. Richmond 120 2. Winston-Salem 100 3. Durham 110 330 The railroad shipping costs ($1,000s) per ton of coal are shown in the following table. Because of railroad construction, shipments are now prohibited from Cabin Creek to Richmond. To From 1 3 A $ 7 $10 B 12 9. 7 3 11 D 9. 7 541N
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