2024 – 17 For each of the problems listed determine the following quantities for
Quantities – 2024
17.
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For each of the problems listed, determine the following quantities for each activity: the earliest start time, latest start time, earliest finish time, latest finish time, and slack time. List the critical activities, and determine the expected duration of the project. |
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a. |
Activity-on-arrow diagram |
| Summary: | |||||
| Activity | ES | EF | LF | LS | Slack |
| 1–2 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 2–4 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 4–7 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 7–10 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 10–12 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 2–5 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 5–8 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 8–10 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 1–3 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 3–6 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 6–9 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 9–11 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 11–12 | [removed] | [removed] | [removed] | [removed] | [removed] |
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b. |
Activity-on-node diagram |
| Summary: | |||||
| Activity | ES | EF | LF | LS | Slack |
| 1 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 2 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 3 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 4 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 5 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 6 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 7 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 8 | [removed] | [removed] | [removed] | [removed] | [removed] |
| 9 | [removed] | [removed] | [removed] | [removed] | [removed] |
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c.
| Activity | Immediate Predecessor |
Estimated Time (days) |
| A | — | 15 |
| B | A | 12 |
| C | B | 6 |
| D | B | 5 |
| E | C | 3 |
| F | — | 8 |
| G | F | 8 |
| H | F | 9 |
| I | G | 7 |
| J | H | 14 |
| K | J | 6 |
| End | D, E, I, K | |
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| Summary: | |||||
| Activity | ES | EF | LF | LS | Slack |
| A | [removed] | [removed] | [removed] | [removed] | [removed] |
| B | [removed] | [removed] | [removed] | [removed] | [removed] |
| C | [removed] | [removed] | [removed] | [removed] | [removed] |
| E | [removed] | [removed] | [removed] | [removed] | [removed] |
| D | [removed] | [removed] | [removed] | [removed] | [removed] |
| F | [removed] | [removed] | [removed] | [removed] | [removed] |
| G | [removed] | [removed] | [removed] | [removed] | [removed] |
| I | [removed] | [removed] | [removed] | [removed] | [removed] |
| H | [removed] | [removed] | [removed] | [removed] | [removed] |
| J | [removed] | [removed] | [removed] | [removed] | [removed] |
| K | [removed] | [removed] | [removed] | [removed] | [removed] |
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