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In: Operations Management

The estimated times and immediate predecessors for activities in a project are given below in the...

The estimated times and immediate predecessors for activities in a project are given below in the table. Assume that the activity time are independent.

Task                           Predecessor                Optimistic   Most Likely   Pessemistic    

                                                                        Time (wks)    time (wks)     time (wks)

Architectural design                            --         10                  30                    45

Software                      Architectural design    13                  15                    23

Compilg                      Software                          2                  3                    4

Hardware                    Architectural design    15                  20                    25

Integration                   Software & Hardware   20                  22                    24

Bug fixes                     Integration                   3                    4                      11

           

a) Draw an activity-on-node network diagram for this project.

b) Identify the critical path and estimate the expected time to complete the project.

c) What is the probability of finishing this project in 77 weeks?

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