Question: This question concerns CPM/PERT analysis for a normalised project. The activities (in weeks) are detailed in Table T4. Activity Build logic Pessimistic Time (weeks) Medium

This question concerns CPM/PERT analysis for a normalised project. The activities (in weeks) are detailed in Table T4. Activity Build logic Pessimistic Time (weeks) Medium Time (weeks) Optimistic Time (weeks) A -- 5 6 7 B - 1 3 5 C - 1 4 7 D A 1 2 3 E B 1 2 9 F C 1 5 9 G C 2 2 8 H E, F 4 4 10 I D 2 5 8 J H,G 2 2 8 Table T4 (a) Draw a CP Network in activity online format [2 marks] (b) Calculate Mean Time and Variance for each activity [3 marks] (c) Using mean durations to calculate earliest start, earliest finish, and slack for each activity (show on your network). [3 marks] (d) Identify the critical path on your network and calculate the expected completion time. [2 marks] (e) What is the probability that this project will be completed on or before 22 weeks (the required tables are attached? [4 marks] (f) What is the probability of completing the project in 20 weeks? [4 marks] (g) Why is Monte Carlo simulation better for calculating the probability of completion within a specified period?.

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