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Two routes connect an origin-destination (OD) pair with performance functions t = 5 + 4x1 and t2 = 7+ 2x2 (with t's in minutes

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Two routes connect an origin-destination (OD) pair with performance functions t = 5 + 4x1 and t2 = 7+ 2x2 (with t's in minutes and x's in thousands of vehicles per hour). The total demand for the OD pair is 4000 vehicles. (a) Find the User Equilibrium (UE) flow. [8 points] (b) Find the System Optimum (SO) flow. [8 points]

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