1. Assume that we have solved a max-flow problem and found a min cut. Consider two forward arcs, denoted by el and e2, on the cut. Discuss how the max-flow may change for each of the following scenarios. a. The capacity of el is increased by 1. b. The capacity of e2 is decreased by 1. c. The capacity of el is increased by 1, and that of e2 is decreased by 1. 1. Assume that we have solved a max-flow problem and found a min cut. Consider two forward arcs, denoted by el and e2, on the cut. Discuss how the max-flow may change for each of the following scenarios. a. The capacity of el is increased by 1. b. The capacity of e2 is decreased by 1. c. The capacity of el is increased by 1, and that of e2 is decreased by 1