ity to ship oil from the four oil fields to the four refineries and to ship petroleum products from the refineries to the distribution centers. Using units of thousands of barrels of crude oil (and its equivalent in refined products). llowing tables show the maximum number of units that can be shipped per day from each oil field to each refinery and from each refinery to each distribution center. Refinery il Field New Orleans Charleston Seattle St. Louis xas 11 8 alifornia 8. aska 12 iddle East 9 15 Distribution Center efinery Pittsburgh Atlanta Kansas City San Francisco ew Orleans 9 6. 4 narleston 8. 7 eattle 6 8 Louis 12 11 Texago management now wants to determine a plan for how many units to ship from each oil field to each refinery and from each refinery to each distribution center that will maximize the total number of units reaching the distribution s.
ity to ship oil from the four oil fields to the four refineries and to ship petroleum products from the refineries to the distribution centers. Using units of thousands of barrels of crude oil (and its equivalent in refined products). llowing tables show the maximum number of units that can be shipped per day from each oil field to each refinery and from each refinery to each distribution center. Refinery il Field New Orleans Charleston Seattle St. Louis xas 11 8 alifornia 8. aska 12 iddle East 9 15 Distribution Center efinery Pittsburgh Atlanta Kansas City San Francisco ew Orleans 9 6. 4 narleston 8. 7 eattle 6 8 Louis 12 11 Texago management now wants to determine a plan for how many units to ship from each oil field to each refinery and from each refinery to each distribution center that will maximize the total number of units reaching the distribution s.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:6.12. The Texago Corporation has four oil fields, four refineries, and four distribution centers in the locations identified in the next tables. A major strike involving the transportation industries now has sharply curtailed Texago's
Page 234
capacity to ship oil from the four oil fields to the four refineries and to ship petroleum products from the refineries to the distribution centers. Using units of thousands of barrels of crude oil (and its equivalent in refined products),
the following tables show the maximum number of units that can be shipped per day from each oil field to each refinery and from each refinery to each distribution center.
ETTM
Refinery
Oil Field
New Orleans
Charleston
Seattle
St. Louis
Техas
11
7
2
8
California
4
8
7
Alaska
7
3
12
6
Middle East
8
4
15
Distribution Center
Refinery
Pittsburgh
Atlanta
Kansas City
San Francisco
New Orleans
9.
6.
4.
Charleston
8
7
9
Seattle
4
6
7
8
St. Louis
12
11
9
The Texago management now wants to determine a plan for how many units to ship from each oil field to each refinery and from each refinery to each distribution center that will maximize the total number of units reaching the distribution
centers.
Тext
add arcs to show the possible flow.
c. Use the distribution network from part b to formulate a network model for Texago's problem as a variant of a maximum flow problem.
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