Question:
The Slack time in PERT analysis
The Slack time in PERT analysis
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Critical events and activities always have zero slack (or float). Non-critical events have positive slack.
Updated On: Jul 23, 2026
- Can never be greater than zero
- Is always zero for critical activities
- Can never be less than zero
- Is minimum for critical events
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The Correct Option is D
Solution and Explanation
Concept:
Slack is the amount of time by which an event may be delayed without affecting the project completion time.
It is calculated as
\[
\boxed{\text{Slack} = \text{Latest Event Time} - \text{Earliest Event Time}.}
\]
For critical events,
\[
\text{Latest Event Time}=\text{Earliest Event Time},
\]
therefore the slack is zero, which is the minimum possible value.
Step 1: Define slack. Slack represents the scheduling flexibility available for an event. \[ \text{Slack}=L-E. \]
Step 2: Identify the critical event. For every critical event, \[ L=E, \] hence \[ \boxed{\text{Slack}=0.} \] Since zero is the minimum value of slack, \[ \boxed{\text{Slack is minimum for critical events}.} \] Therefore, the correct option is \[ \boxed{(D)\;\text{Is minimum for critical events}.} \]
Step 1: Define slack. Slack represents the scheduling flexibility available for an event. \[ \text{Slack}=L-E. \]
Step 2: Identify the critical event. For every critical event, \[ L=E, \] hence \[ \boxed{\text{Slack}=0.} \] Since zero is the minimum value of slack, \[ \boxed{\text{Slack is minimum for critical events}.} \] Therefore, the correct option is \[ \boxed{(D)\;\text{Is minimum for critical events}.} \]
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