# A project manager discovers that his team has neglected to complete the network diagram for the project.

## Question:

A project manager discovers that his team has neglected to complete the network diagram for the project. The network diagram is shown in Figure P12â€“27. However, the project manager has some information available, specifically that each activity, labeled Aâ€“G, has a different duration between one and seven weeks. Also, the slack time for each of the activities is known as shown in Figure P12â€“27 in ascending order.

Duration (weeks): 1, 2, 3, 4, 5, 6, 7

Slack time (weeks): 0, 0, 0, 2, 4, 4, 7

Using the clues provided below, determine the duration of each activity as well as the early start, early finish, latest start and latest finish times for each activity.
Clues
1. Activity E is on the critical path.
2. The early start (ES) time for activity F is five weeks.
3. The duration of activity B is seven weeks.
4. Activity D has four weeks of slack, but activity F has a greatest amount of slack.
5. The early finish (EF) time for activity G is seventeen weeks.
6. The latest finish (LF) time for activity E is thirteenweeks.

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