A project consists of three activities: A, B, and C. Activities A and B can begin at time 0 (start of the project), but activity C can only start after B is completed. The project ends when all activities are completed. The durations of the activities were simulated 10 times and the following values were obtained: Run A Duration B Duration C Duration 1 51 48 17 2 60 48 19 3 30 39 19 4 31 48 22 5 30 31 14 6 41 16 17 7 44 12 6 8 44 12 10 9 45 43 9 10 60 41 10 Based on the simulated numbers given above, what is the average completion time of the whole project?

Explanation:

Run A Duration B Duration C Duration 1 51 48 17 2 60 48 19 3 30 39 19 4 31 48 22 5 30 31 14 6 41 16 17 7 44 12 6 8 44 12 10 9 45 43 9 10 60 41 10 Based on the simulated numbers given above, what is the average completion time of the whole project?

Since B is the predecessor of C.

Project completion time for each run will be calculated as Maximum (Duration of A, Duration of B +Duration of C).

Represent

Run = R

Duration of A  = DA

Duration of B  = DB

Duration of C = DC

Project Completion time = PT

R       DA          DB                        DC               PT

1       51            48                        17             48 + 17 = 65

2      60          48                        19             48 + 19 = 67  

4      31           48                       22              48 + 22 = 70

5      30         31                         14              31 + 14 = 45

6      41           16                       17                 41

7     44            12                       6                 44

8     44            12                      10                44

9     45           43                     9              43 + 9 = 52

10     60          41                     10                60

                                                                Total = 546

Total Project completion time in 10 Stimulations = 546

Average project Completion time = 546/10 = 54.6

Therefore, average Project completion time is between 53 and 56 days.

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