Question: The project described in the table below is being considered. Managers have made estimates of the durations of the activities in weeks. a) Construct a

The project described in the table below is being considered. Managers have made estimates of the durations of the activities in weeks.

a) Construct a project network

(b) Determine the critical path

(c) Determine the expected completion time of the project and the probability of achieving this time (Standard Normal Z Table Attached)

(d) Determine the probability of completing the project 2 weeks earlier (Standard Normal Z Table Attached) and comment on the additional risk involved

(e) Explain why Monte Carlo Simulation is used to calculate likely completion probabilities rather than the methods used in Parts C and D of this question, and briefly describe how the Monte Carlo Simulation is applied to project duration estimation.

Task predecessors A B A A D E B,C F D G D H E,F I E,F J I,G K H optimistic pessimistic most likely 4 8 5 5 10 7 8 12 11 2 7 3 4 10 7 6 15 9 8 16 12 5 9 6 3 7 5 5 11 8 6 13 9

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