400 X1 600 X3 x2 X4 300 100 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express X₁, X2, X31 X4¹ and X5 in terms of the parameters s and t.) (X₁, X2, X3, X4, X5) = ( (b) Find the traffic flow when X3 = 0 and X5 = 60. = (X1, X2, X3 X4 X5) (c) Find the traffic flow when X3 = X5 = 60. (X₁, X2, X3, X4 X5) = ([ 1/

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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The figure shows the flow of traffic (in vehicles per hour) through a network of streets.
X1
-600
400
IA
x2
X4
x3
300-
X5
=
(a) Solve this system for
i
Xir 1, 2,
X41
and
X5
in terms of the parameters s and t.)
=
(X1, X2, X3 X4 X5)
=
(b) Find the traffic flow when X3
0 and X5
= 60.
(X1, X2, X3 X4 X5)
(c) Find the traffic flow when X3 = X5 = 60.
(X1, X2, X3, X4, Xx5)=
-100
5. (If the system has an infinite number of solutions, express X1, X2, X31
Transcribed Image Text:The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 -600 400 IA x2 X4 x3 300- X5 = (a) Solve this system for i Xir 1, 2, X41 and X5 in terms of the parameters s and t.) = (X1, X2, X3 X4 X5) = (b) Find the traffic flow when X3 0 and X5 = 60. (X1, X2, X3 X4 X5) (c) Find the traffic flow when X3 = X5 = 60. (X1, X2, X3, X4, Xx5)= -100 5. (If the system has an infinite number of solutions, express X1, X2, X31
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