QUESTION 3
The Kingdom International MedicalResearch Center has an important project, i.e. to combat therecently spreading virus. The head of the research division hasidentified ten groups in his division which will need to carry outdifferent phases of this research and development project. Themanager of each group has provided a most likely estimate, anoptimistic estimate, and a pessimistic estimate of the duration ofthat group’s activity. The following Table shows the work to bedone by the respective groups, the precedence relationships forwhen these groups need to do their work, and the estimated timesfrom the manager of each group. (6.5 Marks)
Activity | Immediate | Estimate time(Weeks) |
predecessors | Optimistic | Pessimistic | Most likely |
A | - | 1.5 | 15 | 2 |
B | - | 2 | 21 | 3.5 |
C | A | 1 | 18 | 1.5 |
D | B | 0.5 | 15 | 1 |
E | A | 3 | 24 | 5 |
F | C | 1 | 16 | 2 |
G | D | 0.5 | 14 | 1 |
H | B | 2.5 | 25 | 3.5 |
I | E, F | 1 | 18 | 3 |
J | G, H | 2 | 18 | 3 |
- Â Â Draw the complete projectnetwork.
- Determine the expected total time to complete the project.
- Determine the slack for each activity.
- Determine the critical path and critical activities.
- Determine the probability that the project can be completedwithin 22 weeks.
- How many weeks can the project be completed with a probabilityof 30%?
