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The following table provides the information about constructing a project network and its project crash data: Activity Activity Predecessor A B D E F G H I A A BD B CD DE F, H Activity Time (weeks) Normal Crash 15 10 13 9 10 6 5 4 6 4 4 2 12 8 14 10 5 4 Activity cost ($) Normal Crash 2000 4000 1000 1500 500 700 600 1200 1500 2000 800 1200 2000 4500 5000 8000 2000 3500 Ialos The project variance is 4.2152 weeks. a) Develop an AON network for this problem. (4 marks) b) Find the slack value for each activity. (3 marks) c) Find the critical path. (2 marks) d) Find the total project completion time. (2 marks) e) Find the probability of completion of the project before week 43. (3 marks) f) Find the due date that gives the project a 90% chance of on-time completion. (2 marks) g) If you wish to reduce the time required to complete this project by 2 weeks, which activities should be crashed, and how much will this increase the total cost? (4 marks) h) If you wish to further reduce the time required to complete by one more week, which activity should be crashed, and how much will this increase the total cost? (2 marks)