A project has activities A (3 days), B (6 days), C (4 days, after A), D (5 days, after B), E (2 days, after C) and F (4 days, after D and E). Find the minimum duration, the critical path and the total float of C.
- Path A → C → E → F = 3 + 4 + 2 + 4 = 13 days. Path B → D → F = 6 + 5 + 4 = 15 days.
- The longest path is B → D → F, so the minimum duration is 15 days and F cannot start before day 11 (6 + 5).
- E must finish by day 11, so C must finish by day 11 − 2 = day 9. C can start at day 3.
- Total float of C = latest finish − duration − earliest start = 9 − 4 − 3 = 2 days.
Answer: Minimum duration 15 days; critical path B → D → F; total float of C = 2 days.