Which path duration is considered as the project completion timea.Shortest pathb.Longest Pathc.Most likely pathd.None of the given options

Break Down the Problem

1. We need to determine which type of path duration signifies the completion of a project.
2. Investigate the definitions of the various paths mentioned in the options.

Relevant Concepts

1. Shortest Path: The path with the least total duration. It is not used to determine project completion.
2. Longest Path: Also known as the critical path, this is the longest duration path through a project. It defines the minimum time required for the project to be completed.
3. Most Likely Path: This term typically refers to an estimation in project management used in PERT (Program Evaluation Review Technique) but does not indicate completion.
4. None of the Given Options: Needs to be evaluated based on the provided definitions.

Analysis and Detail

1. The critical path method (CPM) is used to identify the longest path of dependent tasks and represents the shortest possible project duration.
2. Therefore, the longest path in project management is directly related to project completion time.

Verify and Summarize

• Given that the longest path represents the maximum time that must be spent on the project to ensure completion, the answer must be aligned with this principle.

Final Answer

b. Longest Path