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Homework Problem 9
The High-Price Oil Company owns a series of pipelines to move oil from the well to its storage facilities.
A portion of the network is in the table below. Movement is in thousands of gallons per hour.
Branch
Start Node
End Node
Quantity
1
1
2
6
2
6
3
5
6
7
10
11
12
13
14
15
16
6
17
6
1) If the firm wants to fully utilize the system capacity to supply storage location 7, how long will it take
to satisfy a location 7 demand of 100,000 gallons?
2) What is the maximal flow of this pipeline portion?
3) If the line breaks between nodes 2 and 3 and it has to be closed down, what is the maximal flow for
the system? How long will it take to transmit 100,000 gallons to location 7?

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