In Critical Path Method (CPM) scheduling, what is the total float of an activity on the critical path?
Correct Answer
A) Zero
Activities on the critical path have zero total float because any delay in these activities will delay the entire project completion date. This is a fundamental principle of CPM scheduling.
Why This Is the Correct Answer
Activities on the critical path have zero total float by definition because they represent the longest sequence of activities that determines the minimum project duration. Any delay in a critical path activity will directly extend the project completion date since there is no buffer time available. Total float represents the amount of time an activity can be delayed without affecting the project completion, and since critical path activities cannot be delayed without impacting the project, their total float is always zero.
Why the Other Options Are Wrong
Option B: Equal to the longest path duration
Activity duration is the time required to complete the activity itself, which has no relationship to total float. Total float is about scheduling flexibility, not the time needed to perform the work. An activity could have a duration of 5 days but still have zero float if it's on the critical path.
Option C: Negative one day
Negative float would indicate the project is already behind schedule, but this doesn't define critical path activities. Critical path activities in a properly scheduled project have zero float, not negative float. Negative float occurs when activities are delayed beyond their latest allowable start/finish times.
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