Question: Question 3 (25 marks) The table below indicates the precedence requirements, activity times, and normal and crash costs for a construction project. Activity Precedes Normal
Question 3 (25 marks) The table below indicates the precedence requirements, activity times, and normal and crash costs for a construction project.
| Activity | Precedes | Normal Time (weeks) | Normal Cost | Crashing Cost ($ per week) Can crash activities 1 or 2 weeks; | |
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| First Week | Second Week |
| A | B, C | 5 | $7,000 | $1200 | $1200 |
| B | D | 4 | 5000 | 1000 | 1000 |
| C | E, F | 3 | 4000 | 1000 | - |
| D | G, H | 6 | 10,000 | 1100 | - |
| E | H | 4 | 9000 | 500 | 500 |
| F | H | 5 | 7000 | 750 | 750 |
| G | I | 4 | 9,000 | 1200 | 1200 |
| H | I, J | 5 | 8,000 | 1200 | 1200 |
| I | End | 5 | 10,000 | 1500 | 1500 |
| J | End | 6 | 6,000 | 1200 | - |
- Which activities have slack, and how much? What paths have slack and how much? (5 marks)
- Determine the minimum-cost crashing schedule that will reduce the total length of the project by five weeks; which activities should you shorten (crash) and by how much. What is the critical path after crashing and how much slack does each path have now. (7 marks)
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