If I am to set up a system of equations describing the traffic flow, and determine the constraints for x4 if all flows (in cars per hour) are to be non-negative, how would x4 be set up?  I thought my calculations were correct, but still missing somehow.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If I am to set up a system of equations describing the traffic flow, and determine the constraints for x4 if all flows (in cars per hour) are to be non-negative, how would x4 be set up?  I thought my calculations were correct, but still missing somehow.

Thank you.

А: Хи FX5 = X, + 530 + 220
X, -X5 = 750 -Хи
B:
c:
D:
Х3 +600 = Ху +140
-460 - Ху
=
X3
X2 + 170 + 160 = X3 +X5 +720
Хz-Хз -X5 = 390
X, +450 - X2 +270
X - X2 = -180
matix А:
RREF (A)
з
x
.
(
(
( - I
о
о
ҳ,
1
Ху- 460 20
Ху 2 460
Хз.
о
(
-1
о
о
о
(
О
Хи
1
0
с
о
DO
t
X5
тото
-(
I
О
-750
- 460
390
-186
-
-250
-70
- 460
Transcribed Image Text:А: Хи FX5 = X, + 530 + 220 X, -X5 = 750 -Хи B: c: D: Х3 +600 = Ху +140 -460 - Ху = X3 X2 + 170 + 160 = X3 +X5 +720 Хz-Хз -X5 = 390 X, +450 - X2 +270 X - X2 = -180 matix А: RREF (A) з x . ( ( ( - I о о ҳ, 1 Ху- 460 20 Ху 2 460 Хз. о ( -1 о о о ( О Хи 1 0 с о DO t X5 тото -( I О -750 - 460 390 -186 - -250 -70 - 460
270
170-
160
450
X2
D
C
720
X1
X5
X3
530
A
X4
(B)
600
220
500
140
Transcribed Image Text:270 170- 160 450 X2 D C 720 X1 X5 X3 530 A X4 (B) 600 220 500 140
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