Question: A Certain Construction Project has the following task characteristics. Task Immediate Predecessors Expected Time (weeks) Crash Time (weeks) # Weeks Crashable Cost Per Week Crashed
A Certain Construction Project has the following task characteristics.
| Task | Immediate Predecessors | Expected Time (weeks) | "Crash" Time (weeks) | # Weeks Crashable | Cost Per Week Crashed (US$) |
| A | Start | 3 | 2 | 1 | 5000 |
| B | Start | 6 | 4 | 2 | 6000 |
| C | Start | 2 | 1 | 1 | 2500 |
| D | A | 5 | 3 | 2 | 4000 |
| E | C | 2 | 2 | 0 | n/a |
| F | A | 7 | 5 | 2 | 3000 |
| G | B,D,E | 4 | 2 | 2 | 7000 |
1.Determine the critical path and expected duration for this project.
2. What is the earliest the project could be completed if tasks were "crashed"?
3. What is the least additional cost required to achieve the completion date you determined in Question 2?
4.Supposed that the promised completion date for the project is week eight, and that the construction manager faces penalty charges of $10,000 per week if the actual completion date is later than eight weeks. What Project durations minimizes total project costs. (normally activity costs+penality costs+ crash costs)?
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