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Which of the following is a critical path? O2->5->8 1->4->8 O 1->3->7 O 1->3->6->8

Which of the following is a critical path? O2->5->8 1->4->8 O 1->3->7 O 1->3->6->8

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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**Activity on Node (AON) Project Network Analysis** **Introduction** In project management, constructing an Activity on Node (AON) project network is essential for determining the sequence of project activities, identifying dependencies, and estimating the project duration. Below is a set of activities required for this exercise, their respective predecessors, and the time they will take to complete. After analyzing the network, the goal is to identify the critical path. **Activity Details** | Activity | Activity Predecessor | Time (months) | |----------|----------------------|----------------| | 1 | — | 4 | | 2 | — | 7 | | 3 | 1 | 8 | | 4 | 1 | 3 | | 5 | 2 | 9 | | 6 | 3 | 5 | | 7 | 3 | 2 | | 8 | 4, 5, 6 | 6 | | 9 | 2 | 5 | **Critical Path Analysis** The critical path is the longest path through the network that determines the shortest time in which the project can be completed. **Question:** Which of the following is a critical path? **Options:** 1. 2 -> 5 -> 8 2. 1 -> 4 -> 8 3. 1 -> 3 -> 7 4. 1 -> 3 -> 6 -> 8 **Correct Answer:** - 1 -> 4 -> 8 To determine the critical path, we must examine each sequence of activities, considering their predecessors and summing their durations. The path with the greatest total duration will be identified. In the case provided, the critical path is option 2 (1 -> 4 -> 8).
Transcribed Image Text:**Activity on Node (AON) Project Network Analysis** **Introduction** In project management, constructing an Activity on Node (AON) project network is essential for determining the sequence of project activities, identifying dependencies, and estimating the project duration. Below is a set of activities required for this exercise, their respective predecessors, and the time they will take to complete. After analyzing the network, the goal is to identify the critical path. **Activity Details** | Activity | Activity Predecessor | Time (months) | |----------|----------------------|----------------| | 1 | — | 4 | | 2 | — | 7 | | 3 | 1 | 8 | | 4 | 1 | 3 | | 5 | 2 | 9 | | 6 | 3 | 5 | | 7 | 3 | 2 | | 8 | 4, 5, 6 | 6 | | 9 | 2 | 5 | **Critical Path Analysis** The critical path is the longest path through the network that determines the shortest time in which the project can be completed. **Question:** Which of the following is a critical path? **Options:** 1. 2 -> 5 -> 8 2. 1 -> 4 -> 8 3. 1 -> 3 -> 7 4. 1 -> 3 -> 6 -> 8 **Correct Answer:** - 1 -> 4 -> 8 To determine the critical path, we must examine each sequence of activities, considering their predecessors and summing their durations. The path with the greatest total duration will be identified. In the case provided, the critical path is option 2 (1 -> 4 -> 8).
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