Question:
Linear Algebra : Use Network Analysis to Determine Number of Traffic Sensors
A traffic engineer wants to know whether measurements of traffic flow entering and leaving a road network are sufficient to predict the traffic flow on each street in the network. Consider the network of one-way streets shown in the Figure 3. The numbers in the figure give the measured traffic flows in vehicles per hour. Assume that no vehicles park anywhere within the network. If possible, calculate the traffic flows f1 through f7. If not, determine how many more traffic sensors need to be installed (within the network) and obtain the expressions for the other traffic flows in terms of the measured quantities.
