Question

All activities lying on the critical path have slack time equal to:

• A. \( 0 \)
• B. \( 1 \)
• C. \( 2 \)
• D. \( -1 \)

Hint:

In project management, activities on the critical path have zero slack, meaning any delay in these activities will directly delay the entire project.

Answer 1

The Correct Option is A

Step 1: Understanding Slack Time Slack time (or float) is the amount of time an activity can be delayed without affecting the project's completion time. It is calculated as: \[ \text{Slack} = \text{Latest Start Time} - \text{Earliest Start Time} = \text{Latest Finish Time} - \text{Earliest Finish Time} \]
Step 2: Critical Path and Slack Time
- The critical path is the longest path in a project network diagram and determines the shortest project duration.
- Activities on the critical path must not be delayed, meaning their slack time is always zero.
- If slack time were greater than zero, it would indicate flexibility in scheduling, which is not the case for the critical path.