Problem 1: 8 points The north-south highway system passing through Albany, New York, can accommodate the capacities shown. What is the maximal flow of vehicles per hour through the system? 4 2 5 Flow capacity: 6000 vehicles per hour 3 Leaving Entering Albany (north) Albany (south) a) Define the decision variables b) Define the objective function c) Define the constraints d) Determine an optimal solution 3