Question

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?

Answer 1

Step-by-step 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.