ITPEC FE Morning October 2021 Question 54

Source exam: ITPEC FE Morning October 2021Topic: Project Management

ITPEC FE Morning October 2021 — Question 54 of 80

Network paths (arrow diagram):

PathActivitiesDuration
A → D → E → H3 + 6 + 6 + 116
A → D → dummy → G → H3 + 6 + 0 + 5 + 115
B → C → E → H4 + 5 + 6 + 116
B → C → dummy → G → H4 + 5 + 0 + 5 + 115
B → F → G → H4 + 7 + 5 + 117

Critical path = B → F → G → H = 17 days

Extending C by 3 days (C = 5 → 8):

  • B → C → E → H = 4 + 8 + 6 + 1 = 19 (new critical path)
  • B → F → G → H = 17 (old critical path, unchanged)

Project duration: 17 → 19 = +2 days.

Why not others:
- (a) not affected — would be true only if C's total float ≥ 3 days (float is actually 1 day)

- (b) extended by 1 day — would be true if C were extended by 2 days only

- (d) extended by 3 days — would be true if C had zero float (already on critical path)

Key rule: Extension impact = increase − total float. Here: 3 − 1 = 2 days added to project duration.

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