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On the evening of the famous final, the stadium was packed. Fortunately, the Socit de transport de Montral has provided free shuttles to avoid

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On the evening of the famous final, the stadium was packed. Fortunately, the Socit de transport de Montral has provided free shuttles to avoid traffic congestion at the end of the game. The fact remains, however, that a good number of people have found a place to park their car in one of the neighboring parking lots and will leave the premises at roughly the same time. The diagram below illustrates the expected traffic flow around the stadium after the game. The numbers and the xi variables indicate the average number of vehicles traveling per hour and the arrows indicate the direction of traffic. The city hires you as a traffic management specialist to analyze the situation. Des Pins 300 100 P Stade Percival-Molson 200 150 600 750 550 1200 P University Aylmer Du Pare a) Give the system of linear equations associated with this graph and express it in the form of a matrix equation AX=B. b) Use the Gauss-Jordan method to invert, if possible, the matrix A found previously. c) Establish the circulation flow by solving the system of linear equations by the inverse matrix method.

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