4. 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. (a) Construct the associated transportation model. (b) Determine the optimum shipping schedule in the network.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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
4.
connected to distribution area 3.
(a) Construct the associated transportation model.
(b) Determine the optimum shipping schedule in the network.
TABLE 1 Mileage Chart for Problem 4
Distribution area
1
3
1
120
180
---
Refinery
300
100
80
3
200
250
120
Transcribed Image Text: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 4. connected to distribution area 3. (a) Construct the associated transportation model. (b) Determine the optimum shipping schedule in the network. TABLE 1 Mileage Chart for Problem 4 Distribution area 1 3 1 120 180 --- Refinery 300 100 80 3 200 250 120
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