Question: Consider the following project. Activity Immediate Predecessors Normal Duration (months) Normal cost ($) A - 3 700 B - 4 900 C A 2 1,100
Consider the following project.
| Activity | Immediate Predecessors | Normal Duration (months) | Normal cost ($) |
| A | - | 3 | 700 |
| B | - | 4 | 900 |
| C | A | 2 | 1,100 |
| D | B | 6 | 600 |
| E | C, D | 8 | 800 |
| F | D | 7 | 1,300 |
| G | E | 4 | 500 |
| H | E, F | 9 | 800 |
b) For each activity compute ES, EF, LS, LF, and slack. Then, say which activities are critical.
ANSWER to b)
For each activity, compute ES, EF, LS, LF, slack, and critical non-critical activities are as follows:
| Activity | Early Start (ES) | Early Finish (EF) | Late Start (LS) | Late Finish (LF) | Slack | Critical |
| A | 0 | 3 | 5 | 8 | 5 | No |
| B | 0 | 4 | 0 | 4 | 0 | Yes |
| C | 3 | 5 | 8 | 10 | 5 | No |
| D | 4 | 10 | 4 | 10 | 0 | Yes |
| E | 10 | 18 | 10 | 18 | 0 | Yes |
| F | 10 | 17 | 11 | 18 | 1 | No |
| G | 18 | 22 | 18 | 22 | 0 | Yes |
| H | 18 | 27 | 18 | 27 | 0 | Yes |
Activities B, D, E, G, and H are critical activities.
c) What is the cost of completing the project if its duration is what you obtained in (b)?
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