2. The figure below represents the traffic entering and leaving a roundabout road junction in Continental Europe. Such roundabouts ensure the continuous smooth flow of traffic at road junctions. Construct a system of linear equations describing the flow of traffic along the various branches. Use these equations to determine the minimum flow possible along xị. What are the other flows at this time? Explain what happens to x7 traffic. It is not necessary to compute the reduced echelon form. Use the fact the traffic flow can't be negative. The traffic is measured in vehicles per hour (vph). 90 A100 X3 X2 155 130 XA 120 110 X6

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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2. The figure below represents the traffic entering and leaving a roundabout road junction in Continental
Europe. Such roundabouts ensure the continuous smooth flow of traffic at road junctions. Construct a
system of linear equations describing the flow of traffic along the various branches. Use these equations to
determine the minimum flow possible along xị. What are the other flows at this time? Explain what
happens to x7 traffic. It is not necessary to compute the reduced echelon form. Use the fact the traffic flow
can't be negative. The traffic is measured in vehicles per hour (vph).
90
A 100
X3
X2
X1
155
130
120
110
X6
X7
X5
80
75
Transcribed Image Text:2. The figure below represents the traffic entering and leaving a roundabout road junction in Continental Europe. Such roundabouts ensure the continuous smooth flow of traffic at road junctions. Construct a system of linear equations describing the flow of traffic along the various branches. Use these equations to determine the minimum flow possible along xị. What are the other flows at this time? Explain what happens to x7 traffic. It is not necessary to compute the reduced echelon form. Use the fact the traffic flow can't be negative. The traffic is measured in vehicles per hour (vph). 90 A 100 X3 X2 X1 155 130 120 110 X6 X7 X5 80 75
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