The government's announcement of an increase in tuition fees is causing turmoil among the student population....

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The government's announcement of an increase in tuition fees is causing turmoil among the student population. Fiercely opposed to this increase, which they describe as disproportionate, the student population is organizing a demonstration in downtown Montreal with the aim of showing their discontent and contesting this increase. a) Informed of the location of the demonstration, the Montreal Police Department called on a traffic management specialist to analyze the effect of the demonstration on automobile traffic. The following diagram illustrates the usual traffic flow on Sainte-Catherine Street and De Maisonneuve Boulevard, between Sanguinet and Berri Streets. The numbers and variables x_i indicate the average number of vehicles traveling per hour and the arrows indicate the direction of traffic. Maisonneuve 800 Ste-Catherine 800 Sanguinet 300 X3 A 400 XI X7 St-Denis 700 X4 B E 500 X8 Berri 1 200 1,000 X5 F X6 900 700 1.000 500 b) Establish the traffic flow by solving the system of linear equations associated with the diagram using the Gauss-Jordan method. c) c) The students notify the Police Department that the demonstration will take rue Sainte-Catherine between Saint-Denis and Berri, rue Saint-Denis between Sainte-Catherine and De Maisonneuve, and boulevard De Maisonneuve between Sanguinet and Saint-Denis. d) What effect will the closure of these sections have on car traffic? e) The Montreal City Police Department suggests that demonstrators change their route to only take Sainte-Catherine Street between Saint-Denis and Berri, and Saint-Denis Street between Sainte-Catherine and De Maisonneuve. What will happen to the flow of automobile traffic if these last two sections are closed? f) Once the demonstration began, it is estimated that on Berri Street, heading north, the closure of sections xet xg had the effect of reducing the number of vehicles circulating between Sainte-Catherine and De Maisonneuve, going from 500 vehicles per hour at 400 vehicles per hour. Knowing that before the demonstration, it was estimated that on Sainte-Catherine Street, an average of 700 vehicles circulated every hour between Sanguinet and Saint-Denis and 600 vehicles between Saint-Denis and Berri, determine on which section(s) traffic increased due to the demonstration. The government's announcement of an increase in tuition fees is causing turmoil among the student population. Fiercely opposed to this increase, which they describe as disproportionate, the student population is organizing a demonstration in downtown Montreal with the aim of showing their discontent and contesting this increase. a) Informed of the location of the demonstration, the Montreal Police Department called on a traffic management specialist to analyze the effect of the demonstration on automobile traffic. The following diagram illustrates the usual traffic flow on Sainte-Catherine Street and De Maisonneuve Boulevard, between Sanguinet and Berri Streets. The numbers and variables x_i indicate the average number of vehicles traveling per hour and the arrows indicate the direction of traffic. Maisonneuve 800 Ste-Catherine 800 Sanguinet 300 X3 A 400 XI X7 St-Denis 700 X4 B E 500 X8 Berri 1 200 1,000 X5 F X6 900 700 1.000 500 b) Establish the traffic flow by solving the system of linear equations associated with the diagram using the Gauss-Jordan method. c) c) The students notify the Police Department that the demonstration will take rue Sainte-Catherine between Saint-Denis and Berri, rue Saint-Denis between Sainte-Catherine and De Maisonneuve, and boulevard De Maisonneuve between Sanguinet and Saint-Denis. d) What effect will the closure of these sections have on car traffic? e) The Montreal City Police Department suggests that demonstrators change their route to only take Sainte-Catherine Street between Saint-Denis and Berri, and Saint-Denis Street between Sainte-Catherine and De Maisonneuve. What will happen to the flow of automobile traffic if these last two sections are closed? f) Once the demonstration began, it is estimated that on Berri Street, heading north, the closure of sections xet xg had the effect of reducing the number of vehicles circulating between Sainte-Catherine and De Maisonneuve, going from 500 vehicles per hour at 400 vehicles per hour. Knowing that before the demonstration, it was estimated that on Sainte-Catherine Street, an average of 700 vehicles circulated every hour between Sanguinet and Saint-Denis and 600 vehicles between Saint-Denis and Berri, determine on which section(s) traffic increased due to the demonstration.