Solve the following Real-Life problems by using Gauss Elimination method 1. 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. a. Set up a linear system whose solution provides the unknown flow rates. b. Solve the system for the unknown flow 400 750 300 250 A rates. X2 X4 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 flowing on all roads? 400 200 X1 100 300

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Solve the following Real-Life problems by using Gauss Elimination
method
1. 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.
a. Set up a linear system whose solution
provides the unknown flow rates.
b. Solve the system for the unknown flow
400
|750
300
250
rates.
X2
X4
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 flowing on all roads?
с.
400
В
200
100
300
Transcribed Image Text:Solve the following Real-Life problems by using Gauss Elimination method 1. 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. a. Set up a linear system whose solution provides the unknown flow rates. b. Solve the system for the unknown flow 400 |750 300 250 rates. X2 X4 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 flowing on all roads? с. 400 В 200 100 300
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