Project Management Question
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A) Two manufacturing facilities are integrating their inventory management systems as a result of operations consolidation. Preliminary analysis and interviews with all parties involved resulted in the following project information. All times are in weeks.
Your task is to identify the following:
- Critical path
- Total project completion time
ACTIVITY | IMMEDIATE PREDECESSORS | TIME (IN WEEKS) |
A | – | 3 |
B | A | 1 |
C | A | 2 |
D | B,C | 3 |
E | C | 5 |
F | C | 3 |
G | E | 7 |
H | E,F | 5 |
I | D,G,H | 8 |
B) Zentaur, Inc. started creating a new digital imaging system. They found out that their has a similar product under study, but has not yet been able to begin production. Because of the competitor’s action, top managers have asked for a speedup of R&D activities so that Zentaur can produce and market their system at the soonest possible date. The predecessor information and activity time estimates in months are shown below.
Your task:
- Identify the critical path
- Compute activity slack time
- Identify project completion time
Activity | Immediate Predecessors | Optimistic Time | Most Probable Time | Pessimistic Time |
A | — | 1 | 1.5 | 5 |
B | A | 3 | 4 | 5 |
C | A | 1 | 2 | 3 |
D | B,C | 3.5 | 5 | 6.5 |
E | B | 4 | 5 | 12 |
F | C,D,E | 6.5 | 7.5 | 11.5 |
G | E | 5 | 9 |
13 |
Please identify your answers clearly.
Examples:
A.1) Critical Path is: —-
A.2) Total project completion time is: —-
For Item B, your answers should be labeled:
B.1) Critical Path:
B.2) Slack time for each activity: (you should have the slack times for all activities in this section)
B.3) Project completion time

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