Help me fast in all parts I will give good rating. The accompanying figure shows a network of one way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles perhour.325600250150450150150(a) Set up a linear system whose solution provides the unknown flow rates.X2= 75X2 + X3= -450X3 + X4 = 300-X2+ X4 = 75X2 - X3= 75X3- X4 = -450X1 - X2- 300-X1+ X4 = 75X1- X2= 75X2 + X3= -450X3 + X4 300-X2+ X4 = 75X2 X3= 300X3 X4 -450= 752x - 1x+ X4 = 75 (b) Solve the system for the unknown flow rates.If the system has infirtely many solution, consider xsX1Xa(c) if the flow along the road from A to B must be reduced for construction, what is the minimum flow that is required to keep traffic fiowing on all roadsThe minimum required flowvehicles per hoOurShow Work is REQUIRED for this question: Ooen Show Work

We will label the intersections of the traffic flow as follows:

Answered: The accompanying figure shows a network…

The accompanying figure shows a network of one way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per hour.

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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Help me fast in all parts I will give good rating.

The accompanying figure shows a network of one way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per
hour.
325
600
250
150
450
150
150
(a) Set up a linear system whose solution provides the unknown flow rates.
X2
= 75
X2 + X3
= -450
X3 + X4 = 300
-X2
+ X4 = 75
X2 - X3
= 75
X3- X4 = -450
X1 - X2
- 300
-X1
+ X4 = 75
X1- X2
= 75
X2 + X3
= -450
X3 + X4 300
-X2
+ X4 = 75
X2 X3
= 300
X3 X4 -450
= 75
2x - 1x
+ X4 = 75

(b) Solve the system for the unknown flow rates.
If the system has infirtely many solution, consider xs
X1
Xa
(c) if the flow along the road from A to B must be reduced for construction, what is the minimum flow that is required to keep traffic fiowing on all roads
The minimum required flow
vehicles per hoOur
Show Work is REQUIRED for this question: Ooen Show Work

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