The minimum time to complete the project is 10 weeks.
We identify the critical paths—longest duration paths through the project:
Path A-B-D-F:
A (2 weeks) âž” B (3 weeks) âž” D (2 weeks) âž” F (3 weeks)
Total duration: 2 + 3 + 2 + 3 = 10 weeks
Path A-C-E-F:
A (2 weeks) âž” C (4 weeks) âž” E (1 week) âž” F (3 weeks)
Total duration: 2 + 4 + 1 + 3 = 10 weeks
Since Activity F depends on both D and E, and both paths take 7 weeks before F can start, the earliest completion is at 10 weeks.
Other options are incorrect due to miscalculations or overlooking dependencies.
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Predictive, Plan-Based Methodologies
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