Universidad Central de Venezuela

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NETWORK ANALYSIS In Exercises 115 and 116, answer the questions about the specified network. (In a network it is assumed that the total flow into each junction is equal to the total flow out of each junction.)
The flow of traffic (in vehicles per hour) through a network of streets is shown in the figure.
(a) Solve this system using matrices for the traffic flow represented by $x_i$, $i = 1$, $2$, $\ldots$, $5$
(b) Find the traffic flow when $x_2 = 200$ and $x_3 = 50$.
(c) Find the traffic flow when $x_2 = 150$ and $x_3 = 0$.