CMA Final · Strategic Cost Management · Network Analysis - PERT, CPM
Activity X takes 6 days. The tail event has an earliest time of day 10 and a latest time of day 12. The head event has an earliest time of day 21 and a latest time of day 25. What is the free float of activity X?
Free float is 5 days. It is the earliest time of the head event minus the earliest time of the tail event minus the activity duration, giving 21 − 10 − 6. The 9 days figure is total float, which uses the latest head event time instead.
- A9 days
- B3 days
- C5 daysCorrect
- D11 days
Explanation
Free float = earliest time of head event − earliest time of tail event − duration = 21 − 10 − 6 = 5 days. Total float is 25 − 10 − 6 = 9 days, which uses the latest head time. Independent float is 21 − 12 − 6 = 3 days. The 11 days ignores the duration.
Did you get it right without looking?
One question tells you little. A timed set on Network Analysis - PERT, CPM shows your real accuracy, how long you take and where you lose marks.
More Network Analysis - PERT, CPM questions
- A network has these activities with durations in days and predecessors: A (3, none), B (4, A), C (6, A), D (5, B), E (2, C), F (3, D and E).…
- The critical path of a PERT network has an expected duration of 50 days and a variance of 16 days². Assuming the normal distribution applies…
- The critical path of a project has three activities with (optimistic, pessimistic) times of (2, 14), (5, 11) and (1, 13) days. Its expected …
- Two critical activities of a project, A and B, are in series, and no other path will become critical during crashing. Activity A can be cras…
- For a PERT activity, the optimistic time is 4 days, the most likely time is 7 days and the pessimistic time is 16 days. What is the expected…
- For a PERT activity, the optimistic time is 4 days, the most likely time is 7 days and the pessimistic time is 16 days. What are the expecte…