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Multiple networks connect Quebec and the New-Brunswick and allow transportation to other Canadian provinces and American states. The following graph represent part of that

Multiple networks connect Quebec and the New-Brunswick and allow transportation to other Canadian provinces and American states. The following graph represent part of that network. We can also see the way in which these trains are circulating and also that X,> 0 representing the amount of wagons of merchandise that's circulating daily. Ontario 75 New York 60 Montral St-Jean-sur-Richelieu Exportation outre-mer 100 Qubec Sherbrooke Moncton Saint John 50 Nouvelle- Ecosse Maine a) We are asking you to do an analysis of this network. First, establish the flow of circulation of the wagons, to do so, resolve the system of linear equations associated with this graph by using Gauss-Jordan b) In order to save money on operating costs, the MMA is considering closing the tracks between Sherbrooke and Quebec, what would be the effect of this closure? c) The statistics of the company shows that 20 wagons circulate daily between Saint-sur-Richelieu and Sherbrooke, and that 10 wagons a day circulate between Sherbrooke and Saint John. Use these statistics to determine the increase of wagons circulating daily after the closure of the link between Sherbrooke and Quebec. d) Another analyst made the affirmation that in winter, the tracks between Saint-Jean-sur- Richelieu in Montreal are sometimes closed because of weather conditions. If the road between Sherbrooke and Quebec is maintained, but the road between Saint-Jean-sur-Richelieu and Montreal is closed, will the network be able to maintain the traffic of the trains?

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