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Answer: The accompanying figure shows a network of one-way streets with traffic flowing
Chapter 1, Problem 4(choose chapter or problem)
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 rates. (c) Is it possible to close the road from A to B for construction and keep traffic flowing on the other streets? Explain. Figure Ex-4
Questions & Answers
QUESTION:
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 rates. (c) Is it possible to close the road from A to B for construction and keep traffic flowing on the other streets? Explain. Figure Ex-4
ANSWER:(a) The linear system of equations is
$$
\begin{aligned}
X_1 + X_3 &= 900 \\
X_2 + X_3 &= 700 \\
X_1 + X_2 &= 800 \\
X_1 &= 300
\end{aligned}
$$
(b) Solving for the unk