Project management problem

Table 4i below provides relevant information for a project. 14 Table 4i: Project Information Time Estimates (weeks) Activity Predecessor(s) Optimistic (a) Most Likely (m) Pessimistic (b) 8 12 10 13 B 18 B 9 20 B 6 DE 24 G C F 4 7 13 HG3 5 7 I GH 2 3 4 16 9 12 a) Using the Programme Evaluation and Review Technique (PERT) and the Activity on Node (AON) representation draw a network diagram for the project, calculate the float (i.e. slack) for each activity, identify the different paths and their durations, and calculate the probability that the critical path will finish in 57 weeks or less (time estimates are at 99% confidence). (50%) b) Calculate the probability that the critical path will finish in 57 weeks or more (time estimates are at 99% confidence). (10%) c) Calculate the probability that the critical path will finish in 64 weeks or less (time estimates are at 99% confidence). (10%) d) Discuss the use of Monte Carlo Simulation to deal with project management uncertainty compared to the traditional approach. (30%)