(Taha) Three refineries with daily capacities of 6, 5, and 8 million gallons, respectively, supply three distribution areas with daily demands of 4, 8, and 7 million gallons, respectively. Gasoline is transported to the three distribution areas through a network of pipelines. The transportation cost is 10 cents per 1000 gallons per pipeline mile. Table 1 gives the mileage between the refineries and the distribution areas. Refinery 1 is not connected to distribution area 3. Construct the associated transportation problem model. Make sure you give the network, indicate the supply/demand at each node, and give the cost and capacity for each arc. Area 1 Area 2 Area 3 Refinery 1 120 180 Refinery 2 300 100 Refinery 3 200 250 80 120 Table 1: Distance between refineries and distribution areas (pipeline miles)
(Taha) Three refineries with daily capacities of 6, 5, and 8 million gallons, respectively, supply three distribution areas with daily demands of 4, 8, and 7 million gallons, respectively. Gasoline is transported to the three distribution areas through a network of pipelines. The transportation cost is 10 cents per 1000 gallons per pipeline mile. Table 1 gives the mileage between the refineries and the distribution areas. Refinery 1 is not connected to distribution area 3. Construct the associated transportation problem model. Make sure you give the network, indicate the supply/demand at each node, and give the cost and capacity for each arc. Area 1 Area 2 Area 3 Refinery 1 120 180 Refinery 2 300 100 Refinery 3 200 250 80 120 Table 1: Distance between refineries and distribution areas (pipeline miles)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(Taha) Three refineries with daily capacities of 6, 5, and 8 million gallons, respectively,
supply three distribution areas with daily demands of 4, 8, and 7 million gallons, respectively.
Gasoline is transported to the three distribution areas through a network of pipelines. The
transportation cost is 10 cents per 1000 gallons per pipeline mile. Table 1 gives the mileage
between the refineries and the distribution areas. Refinery 1 is not connected to distribution
area 3. Construct the associated transportation problem model. Make sure you give the
network, indicate the supply/demand at each node, and give the cost and capacity for each
arc.
Area 1 Area 2 Area 3
Refinery 1
120
180
Refinery 2
300
100
Refinery 3 200
250
80
120
Table 1: Distance between refineries and distribution areas (pipeline miles)
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