ITPEC FE Morning April 2022 Question 55

Source exam: ITPEC FE Morning April 2022Topic: Project Management

ITPEC FE Morning April 2022 — Question 55 of 80

Identify all paths from start to finish:

  • A → E → G → I = 3 + 11 + 8 + 4 = 26
  • A → E → dummy → H → I = 3 + 11 + 0 + 6 + 4 = 24
  • A → D → H → I = 3 + 7 + 6 + 4 = 20
  • A → C → F → H → I = 3 + 4 + 7 + 6 + 4 = 24
  • B → F → H → I = 8 + 7 + 6 + 4 = 25

The longest path is A → E → G → I = 26 days.

Why not others:
- (a) 20 — path A → D → H → I, not the longest

- (b) 24 — paths A → E → dummy → H → I or A → C → F → H → I

- (c) 25 — path B → F → H → I, close but not the maximum

Key rule: Minimum project completion time equals the critical path — the longest path through the network. Dummy activities have zero duration but establish dependencies.

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