Discussion
If the duration of activity f alone is changed from 9 to 10 days, then the
Answer: A
The critical path remains the same and the total duration changes to 19 days.
Activity f lies on the critical path a - d - f - h, so lengthening it by one day lengthens that path to 3 + 4 + 10 + 2 = 19 days. The other paths (17 and 16 days) are unchanged and still shorter, so the critical path is still a - d - f - h.
Any change to a critical activity changes the project duration, so 'total duration remains the same' is wrong. The critical path would change only if another path became the longest, and 17 days is the length of a non-critical path, not the new project duration.
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