Background Information: Network Analysis A network is a set of branches through which something "flows." In most networks, the branches meet at points, called nodes or junctions, where the flow divides. In the study of networks, there is generally some numerical measure of the rate at which the medium flows through a branch. A common problem in network analysis is to use known flowrates in certain branches to find the flow rates in all of the branches. Step 1: Watch the video to understand how to set up system of linear equations for a given network. Step 2: Real textbook section 1.9 for more similar examples Problem 2 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. 400 750 X3 250 300 A X2 X4 B 200 400 100T 300 (a) Set up a linear system whose solution provides the unknown flow rates. (b) Solve the system for the unknown flow rates. (Can use TI calculator RREF function) (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?
Background Information: Network Analysis A network is a set of branches through which something "flows." In most networks, the branches meet at points, called nodes or junctions, where the flow divides. In the study of networks, there is generally some numerical measure of the rate at which the medium flows through a branch. A common problem in network analysis is to use known flowrates in certain branches to find the flow rates in all of the branches. Step 1: Watch the video to understand how to set up system of linear equations for a given network. Step 2: Real textbook section 1.9 for more similar examples Problem 2 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. 400 750 X3 250 300 A X2 X4 B 200 400 100T 300 (a) Set up a linear system whose solution provides the unknown flow rates. (b) Solve the system for the unknown flow rates. (Can use TI calculator RREF function) (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?
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
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can you solve these questions with step by step with clear explaination please
Transcribed Image Text:Background Information:
Network Analysis
A network is a set of branches through which something "flows." In most networks, the
branches meet at points, called nodes or junctions, where the flow divides. In the study of
networks, there is generally some numerical measure of the rate at which the medium flows
through a branch. A common problem in network analysis is to use known flowrates in certain
branches to find the flow rates in all of the branches.
Step 1: Watch the video to understand how to set up system of linear equations for a given
network.
Step 2: Real textbook section 1.9 for more similar examples
Problem 2
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.
400
750
X3
250
300
A
X2
X4
B
200
400
100T
300
(a) Set up a linear system whose solution provides the unknown flow rates.
Transcribed Image Text:(b) Solve the system for the unknown flow rates. (Can use TI calculator RREF function)
(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?
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