Question
Consider the following project with all times shown in days. The normal cost is the cost to complete the project in the normal time. The
Consider the following project with all times shown in days. The normal cost is the cost to complete the project in the normal time. The Crash Cost is the cost to complete the project in the least amount of time (normal time-maximum crash days). The indirect cost is reduced by $50 each day the project is compressed.
Task ID | Predecessors | Normal Time | Maximum Crash Days | Normal Cost | Crash Cost |
A | - | 5 | 1 | 50 | 70 |
B | - | 3 | 2 | 60 | 120 |
C | A | 4 | 0 | 70 | 70 |
D | A | 2 | 1 | 50 | 60 |
E | B | 5 | 3 | 100 | 280 |
F | C | 2 | 1 | 90 | 120 |
G | D | 5 | 1 | 50 | 80 |
H | E | 2 | 0 | 60 | 60 |
I | F,G,H | 3 | 1 | 200 | 270 |
1.Which task would be crashed first based on the minimum direct cost incurred?
2. What is the total direct cost for the project without any crashing?
3. What is the optimal number of days to crash the project overall (i.e. by how many days would you choose to reduce the duration)?
4. Which task(s) would you choose to crash in the third iteration of crashing?
5. Without any crashing, what is the completion time for the project?
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