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The following table lists the activities for a small part of a project with various durations and dependencies.  Fill in the PERT Average duration column.

The following table lists the activities for a small part of a project with various durations and dependencies.  Fill in the PERT Average duration column.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The following table lists the activities for a small part of a project with various durations and dependencies.  Fill in the PERT Average duration column.

The table presented is a PERT (Program Evaluation and Review Technique) chart, often used in project management to analyze the tasks involved in completing a project. ### Table Explanation: - **Columns:** - **Activity:** Represents the tasks involved in the project, labeled from A to F. - **Optimistic:** The minimum time needed to complete the task if everything proceeds better than expected. - **Most Likely:** The best estimate of the time required to complete the task, assuming no issues. - **Pessimistic:** The maximum time required to complete the task if everything goes wrong. - **PERT Average Duration:** The estimated average time for task completion, calculated using the PERT formula: \((\text{Optimistic} + 4 \times \text{Most Likely} + \text{Pessimistic}) / 6\). - **Immediate Predecessor:** Lists the tasks that must be completed before the start of the respective activity. ### Detailed Breakdown: - **Activity A:** - Predecessor: None - Times: Optimistic (1), Most Likely (2), Pessimistic (3), Average Duration (2) - **Activity B:** - Predecessor: None - Times: Optimistic (2), Most Likely (3), Pessimistic (3), Average Duration (3) - **Activity C:** - Predecessor: A - Times: Optimistic (3), Most Likely (5), Pessimistic (7), Average Duration (5) - **Activity D:** - Predecessor: B - Times: Optimistic (7), Most Likely (10), Pessimistic (13), Average Duration (10) - **Activity E:** - Predecessor: C - Times: Optimistic (4), Most Likely (5), Pessimistic (7), Average Duration (5) - **Activity F:** - Predecessors: D, E - Times: Optimistic (2), Most Likely (5), Pessimistic (10), Average Duration (5.5) This table helps in understanding the sequence of activities, their time estimates, and dependencies, aiding in effective project planning and scheduling.
Transcribed Image Text:The table presented is a PERT (Program Evaluation and Review Technique) chart, often used in project management to analyze the tasks involved in completing a project. ### Table Explanation: - **Columns:** - **Activity:** Represents the tasks involved in the project, labeled from A to F. - **Optimistic:** The minimum time needed to complete the task if everything proceeds better than expected. - **Most Likely:** The best estimate of the time required to complete the task, assuming no issues. - **Pessimistic:** The maximum time required to complete the task if everything goes wrong. - **PERT Average Duration:** The estimated average time for task completion, calculated using the PERT formula: \((\text{Optimistic} + 4 \times \text{Most Likely} + \text{Pessimistic}) / 6\). - **Immediate Predecessor:** Lists the tasks that must be completed before the start of the respective activity. ### Detailed Breakdown: - **Activity A:** - Predecessor: None - Times: Optimistic (1), Most Likely (2), Pessimistic (3), Average Duration (2) - **Activity B:** - Predecessor: None - Times: Optimistic (2), Most Likely (3), Pessimistic (3), Average Duration (3) - **Activity C:** - Predecessor: A - Times: Optimistic (3), Most Likely (5), Pessimistic (7), Average Duration (5) - **Activity D:** - Predecessor: B - Times: Optimistic (7), Most Likely (10), Pessimistic (13), Average Duration (10) - **Activity E:** - Predecessor: C - Times: Optimistic (4), Most Likely (5), Pessimistic (7), Average Duration (5) - **Activity F:** - Predecessors: D, E - Times: Optimistic (2), Most Likely (5), Pessimistic (10), Average Duration (5.5) This table helps in understanding the sequence of activities, their time estimates, and dependencies, aiding in effective project planning and scheduling.
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