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CMA Final · Strategic Cost Management · Network Analysis - PERT, CPM

In a CPM network, activity 4-5 has a duration of 5 days. The earliest start time of its tail event 4 is day 12, the earliest occurrence time of its head event 5 is day 22, and the latest occurrence time of event 5 is day 26. What is the free float of activity 4-5?

Free float is 5 days. It equals the head event's earliest time (22) minus the tail event's earliest time (12) minus the activity duration (5). The value 9 days would be total float, which uses the head event's latest time of 26 instead.

  1. A5 daysCorrect
  2. B9 days
  3. C10 days
  4. D4 days

Explanation

Free float = earliest time of head event − earliest time of tail event − duration = 22 − 12 − 5 = 5 days. The 9 days option is total float, which uses the latest time of the head event (26 − 12 − 5). The 10 days option forgets to deduct the activity duration.

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