Question: c) TC Ltd is bidding for a certain project. The PERT based three-way estimates of the duration of the respective task from A to J

c) TC Ltd is bidding for a certain project. The PERT based three-way estimates of the duration of the respective task from A to J of this project are given in the table below: Task Preceding Task A B Optimistic 2 6 Duration in weeks Most Likely 5 6 4 Pessimistic 8 6 1 7 D 4 4 10 E 6 6 12 A B,F A E A GF D, H 3 7 F G H 1 3 10 5 3 3 13 12 3 4 3 i. Draw the project's PERT network for this project, identifying the critical path and calculating the normal expected project completion time. (6 marks) ii. What is the probability of completing this project by 28 weeks, and by 29 weeks respectively? (8 marks) iii. The number of weeks required to assure a 0.95 probability of project completion as requested by client (4 marks)

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