c) Maximum number of units that can be shipped • from Charleston to San Francisco = units • from New Orleans to Kansas City = units . from St. Louis to Pittsburg= units • from Seattle to Atlanta = units d) Maximum flow = units

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Answer letter c and d. Show your complete solution and give a brief description on how you arrive with the answer.
c) Maximum number of units that can be shipped
• from Charleston to San Francisco =
units
• from New Orleans to Kansas City =
units
• from St. Louis to Pittsburg% =
units
units
• from Seattle to Atlanta =
d) Maximum flow =
units
Transcribed Image Text:c) Maximum number of units that can be shipped • from Charleston to San Francisco = units • from New Orleans to Kansas City = units • from St. Louis to Pittsburg% = units units • from Seattle to Atlanta = d) Maximum flow = units
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 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.
Refinery
Oil Field
New Orleans Charleston Seattle
St. Louis
Texas
11
7.
8.
California
4.
7.
Alaska
7
12
Middle East
8
9.
4.
15
Distribution Center
Refinery
Pittsburgh Atlanta
KanSas City San Francisco
New Orleans
5.
6.
4.
Charleston
7.
5.
Seattle
4.
6.
7.
8
St. Louis
12
11
Formulate and solve a spreadsheet model for this problem and determine the following:
Transcribed Image Text: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 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. Refinery Oil Field New Orleans Charleston Seattle St. Louis Texas 11 7. 8. California 4. 7. Alaska 7 12 Middle East 8 9. 4. 15 Distribution Center Refinery Pittsburgh Atlanta KanSas City San Francisco New Orleans 5. 6. 4. Charleston 7. 5. Seattle 4. 6. 7. 8 St. Louis 12 11 Formulate and solve a spreadsheet model for this problem and determine the following:
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