An engineering group needs to set up an assembly line to producea new product. The following table describes the relationshipsbetween the activities, their predecessors, and the estimatedactivity times (in weeks) for this project. (10 points)
Activity | Immediate Predecessors) | Optimistic (Weeks) | Most Likely (Weeks) | Pessimistic (Weeks) |
A | --- | 4 | 7 | 10 |
B | A | 2 | 8 | 20 |
C | A | 8 | 12 | 16 |
D | B | 1 | 2 | 3 |
E | D, C | 6 | 8 | 22 |
F | C | 2 | 3 | 4 |
G | F | 2 | 2 | 2 |
H | F | 6 | 8 | 10 |
I | E, G, H | 4 | 8 | 12 |
J | I | 1 | 2 | 3 |
- Using this data, develop a network for this project.
- Identify the critical path and determine the expected time ofcompletion of the project.
- Prepare the detailed activity schedule for this project(i.e., provide a table showing EST, EFT, LST, LFT, Slack, criticalpath?).
- Determine the probability that the project will be completedin:
- Less than 42 weeks
- Greater than 35 weeks
- Between 42 to 44 weeks
- Greater than 40 weeks