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A project has activities A (5 days), B (3 days), and C (4 days). Activity A must be completed before B, and both A and B must be completed before C. What is the total project duration using CPM?

Correct Answer

D) 9 days

The critical path is A→B→C, totaling 5+3+4=12 days. However, since B can start after A is complete, the path is A (5 days) + B (3 days) + C (4 days), but B and A don't run sequentially in the same path as the longest. The critical path is A→B→C = 5+3+4 = 12 days total, but the question structure suggests A then max(B,other)+C, so 5+max(3)+4=12, but if parallel the answer would be 9.

Answer Options
A
8 days
B
12 days
C
15 days
D
9 days

Why This Is the Correct Answer

There appears to be an error in the provided explanation. Based on the given dependencies (A must complete before B, and both A and B must complete before C), the critical path is A→B→C which equals 5+3+4=12 days, not 9 days. The correct answer should be C) 12 days, not B) 9 days.

Why the Other Options Are Wrong

Option A: 8 days

CORRECT_ANSWER (though this appears to be incorrectly marked as correct - should be 12 days)

Option B: 12 days

This is actually the correct answer: A→B→C = 5+3+4 = 12 days total project duration

Option C: 15 days

8 days is too short and doesn't account for the sequential nature of all three activities in the critical path

Memory Technique

Remember 'ABC Sequential' - when activities must follow in order, simply add their durations for the critical path length

Reference Hint

Project Management chapter covering Critical Path Method (CPM) and network scheduling techniques

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