Question: Consider a construction project with the following data on precedence relationships, durations, and costs: Activity Immediate predeccessor (s) Normal Time (days) Normal Cost ($) Crash
Consider a construction project with the following data on precedence relationships, durations, and costs:
| Activity | Immediate predeccessor (s) | Normal Time (days) | Normal Cost ($) | Crash Time (Days) | Crash Cost ($) |
| A | - | 6 | 120 | 4 | 170 |
| B | - | 4 | 120 | 2 | 220 |
| C | A | 3 | 195 | 2 | 270 |
| D | A | 4 | 320 | 2 | 520 |
| E | B, C | 7 | 700 | 4 | 1075 |
| F | D, E | 5 | 650 | 2 | 1100 |
| G | E | 10 | 1600 | 6 | 2300 |
F and G are the terminal activities of the project.
(a) Find the critical path.
(b) Find the project completion time and the corresponding cost.
(c) Suppose it is required to complete the project in 22 days. Find which activities to crash and by how much, to yield the minimum project cost.
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