1. (Road Network) The flow of traffic (in vehicles/hour) through a network of streets is shown...

 

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1. (Road Network) The flow of traffic (in vehicles/hour) through a network of streets is shown below. 450 600 700 700 650 700 800 600 Traffic flow through a network of streets. (a) Set up and solve a system of linear equations to find x₁, where i = 1, 2, ..., 6. (b) Assuming that each road can handle a maximum of 1000 vehicles/hour, suggest patterns that will ensure congestion-free traffic flow. (c) Suppose I = 0 (for repairs), find another feasible traffic flow pattern. 1. (Road Network) The flow of traffic (in vehicles/hour) through a network of streets is shown below. 450 600 700 700 650 700 800 600 Traffic flow through a network of streets. (a) Set up and solve a system of linear equations to find x₁, where i = 1, 2, ..., 6. (b) Assuming that each road can handle a maximum of 1000 vehicles/hour, suggest patterns that will ensure congestion-free traffic flow. (c) Suppose I = 0 (for repairs), find another feasible traffic flow pattern.

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