The north-south highway system passing through Albany, New York, can accommodate the capacities shown. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". For negative values enter "minus" sign (-). Flow capacity: 1o10,000vehicles per hour 4 Entering Albany (north) Leaving Albany (south) Маx X61

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Problem 6-29 (Algorithmic)
The north-south highway system passing through Albany, New York, can accommodate the capacities shown. If the constant is "1" it must be entered in the box. If your
answer is zero enter "0". For negative values enter "minus" sign (-).
6
Flow capacity:
10,000vehicles
10
per hour
3
3
Entering
Albany
(north)
Leaving
Albany
(south)
4
Маx
X61
s.t.
2.
Transcribed Image Text:Problem 6-29 (Algorithmic) The north-south highway system passing through Albany, New York, can accommodate the capacities shown. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". For negative values enter "minus" sign (-). 6 Flow capacity: 10,000vehicles 10 per hour 3 3 Entering Albany (north) Leaving Albany (south) 4 Маx X61 s.t. 2.
Node 1
X12 +
X13 +
X14
+
Х61
Node 2
X24 +
X25
+
X12 +
X42
Node 3
Х34 +
X36
+
X13 +
X43
%3D
X42 +
X43 +
X45 +
+
X14 +
X24 +
Х34 +
Node 4
%3D
X46
X54
Node 5
X54 +
X56
X25 +
X45
Node 6
X61
+
Х36 +
X46 +
X56
X12 <
X13 <
X14 <
X24 <
X25 <
X34 <
X36 <
X42 <
X43 <
X45 <
X46 S
X54 <
X56 <
Xij 2 0 for all i and j
Can the highway system accommodate a north-south flow of 13,000 vehicles per hour?
Maximum flow of vehicles per hour =
I| ||
Transcribed Image Text:Node 1 X12 + X13 + X14 + Х61 Node 2 X24 + X25 + X12 + X42 Node 3 Х34 + X36 + X13 + X43 %3D X42 + X43 + X45 + + X14 + X24 + Х34 + Node 4 %3D X46 X54 Node 5 X54 + X56 X25 + X45 Node 6 X61 + Х36 + X46 + X56 X12 < X13 < X14 < X24 < X25 < X34 < X36 < X42 < X43 < X45 < X46 S X54 < X56 < Xij 2 0 for all i and j Can the highway system accommodate a north-south flow of 13,000 vehicles per hour? Maximum flow of vehicles per hour = I| ||
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