With respect to PERT and CPM, slack

With respect to PERT and CPM, slack

Question 6 options:

is the amount of time a task may be delayed without changing the overall project completion time.
marks the start or completion of a task.
is a task or subproject that must be completed.
is the latest time an activity can be started without delaying the entire project.

The correct answer and explanation is:

The correct answer is:

“Slack is the amount of time a task may be delayed without changing the overall project completion time.”

Explanation:

Slack, also referred to as float, is an essential concept in Project Evaluation and Review Technique (PERT) and Critical Path Method (CPM). It represents the amount of flexibility available in scheduling a task without causing delays to the project’s overall completion time.

Types of Slack:

  1. Total Slack (Total Float): This is the total amount of time a task can be delayed without affecting the project’s completion date.
  2. Free Slack (Free Float): This is the time a task can be delayed without delaying the start of any dependent task.

Importance of Slack in Project Management:

  • Resource Allocation: Slack helps in identifying non-critical tasks, which allows project managers to allocate resources more efficiently.
  • Risk Management: If a task on the critical path is delayed, it affects the entire project. However, tasks with slack provide flexibility to absorb unexpected delays.
  • Time Optimization: By understanding slack, project managers can redistribute workloads to ensure that critical tasks receive the necessary attention.

Slack Calculation Formula:

Slack is calculated as: Slack=Latest Start Time−Earliest Start Time\text{Slack} = \text{Latest Start Time} – \text{Earliest Start Time}

or Slack=Latest Finish Time−Earliest Finish Time\text{Slack} = \text{Latest Finish Time} – \text{Earliest Finish Time}

If a task has zero slack, it means it is on the critical path and must be completed on time to avoid project delays.

Understanding slack in PERT and CPM ensures efficient project execution, timely delivery, and effective risk management.

Now, I’ll generate an image illustrating slack in a project network diagram.

Here is an image illustrating slack in PERT and CPM, including the critical path, total slack, free slack, and key scheduling components. Let me know if you need any modifications or further explanations!

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