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ACCA Strategic Professional · Strategic Business Leader · Leading and managing projects

Bramwell Co is planning a product launch project. The activities are: A (3 weeks, no predecessor), B (5 weeks, after A), C (2 weeks, after A), D (4 weeks, after B and C). A manager says the project can finish in 9 weeks by running B and C in parallel. What does network analysis indicate, and what is the float on activity C?

The minimum duration is 12 weeks, set by the critical path A-B-D (3+5+4). Activity C lies on a path of only 9 weeks, so it has 3 weeks of float. Running B and C in parallel does not shorten the project below the longest path.

  1. AMinimum duration 12 weeks; float on C is 3 weeksCorrect
  2. BMinimum duration 12 weeks; float on C is 2 weeks
  3. CMinimum duration 9 weeks; float on C is 3 weeks
  4. DMinimum duration 14 weeks; float on C is zero

Explanation

Critical path is A-B-D = 3+5+4 = 12 weeks. Path A-C-D = 3+2+4 = 9 weeks, so C has float of 12-9 = 3 weeks. The 9-week claim wrongly ignores that D cannot start until B (the longer branch) finishes. A 14-week figure wrongly adds B and C as if sequential, with no parallel running.

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