1. A student wants to schedule a project using PERT. The network diagram is drawn in AOA format (activity on arrow). She has determined the following activities, precedence relationships and time estimates in days for the project: a) Name all potential paths and corresponding durations. b) Calculate ES, EF, LS, LF, and slack for all activities. c) How many days can activity "c" be delayed without extending the project duration? d) If activity " f " is delayed by 2 days, by how many days will it extend project duration