1) The total time to complete this project is? 2) What is the critical path 3) What is the slack time (in days) of the activity with the longest slack time?

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**Project Management: Network Diagram and Activity Durations**

This diagram represents a project network diagram illustrating the sequence of activities, their durations, and flow from start to finish. The diagram uses nodes connected by arrows to denote the activities and their respective dependencies.

**Activities and Durations:**

- **A:** 4 hours
- **B:** 10 hours
- **C:** 12 hours
- **D:** 7 hours
- **E:** 9 hours
- **F:** 10 hours
- **G:** 5 hours
- **H:** 1 hour
- **I:** 3 hours
- **J:** 9 hours
- **K:** 11 hours
- **L:** 5 hours
- **M:** 4 hours
- **N:** 5 hours
- **O:** 3 hours
- **P:** 7 hours
- **Q:** 9 hours
- **R:** 12 hours

**Questions:**

1) **The total time to complete this project is:** ______
   
2) **What is the critical path?**

3) **What is the slack time (in days) of the activity with the longest slack time?**

4) **Suppose you add extra workers to task K so that it now takes 6 days instead of 11. What will happen to the total project duration?**

**Understanding the Diagram:**

- The network diagram uses rectangles to label each activity within the project.
- Arrows indicate the sequence in which the activities must be completed.
- To determine the critical path, one must identify the longest sequence of dependent tasks and sum their durations, which dictates the project's minimum completion time.

To solve these questions, analyze the network to find the sequence with the total longest time, and calculate any slack times for non-critical tasks. Adjust task K's duration and reevaluate the project's completion time accordingly.
Transcribed Image Text:**Project Management: Network Diagram and Activity Durations** This diagram represents a project network diagram illustrating the sequence of activities, their durations, and flow from start to finish. The diagram uses nodes connected by arrows to denote the activities and their respective dependencies. **Activities and Durations:** - **A:** 4 hours - **B:** 10 hours - **C:** 12 hours - **D:** 7 hours - **E:** 9 hours - **F:** 10 hours - **G:** 5 hours - **H:** 1 hour - **I:** 3 hours - **J:** 9 hours - **K:** 11 hours - **L:** 5 hours - **M:** 4 hours - **N:** 5 hours - **O:** 3 hours - **P:** 7 hours - **Q:** 9 hours - **R:** 12 hours **Questions:** 1) **The total time to complete this project is:** ______ 2) **What is the critical path?** 3) **What is the slack time (in days) of the activity with the longest slack time?** 4) **Suppose you add extra workers to task K so that it now takes 6 days instead of 11. What will happen to the total project duration?** **Understanding the Diagram:** - The network diagram uses rectangles to label each activity within the project. - Arrows indicate the sequence in which the activities must be completed. - To determine the critical path, one must identify the longest sequence of dependent tasks and sum their durations, which dictates the project's minimum completion time. To solve these questions, analyze the network to find the sequence with the total longest time, and calculate any slack times for non-critical tasks. Adjust task K's duration and reevaluate the project's completion time accordingly.
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