Puzzle: A project manager discovers that his team has neglected to complete the network diagram for the project. The network diagram is shown below. 3.51? Clues: l. The time unit is weeks 2. Durations are: l. 2, 3, 4, 5, I5, ?. 3. No two activities have the same duration. 4. There exists only one critical path, and it is the largest possible number given the possible durations shown. 5. The slack times ofthe seven activities are: 0. 0, , 3. 6. 3, 3 IS. Activity E has the smallest amount of slack that is greater than zero. 7'. The early nish (EF) time for activity A is four weeks, and this does not equal the latest nish {LF} time. (Note: There is no negative slack in the network.) 3. The slack in activity C is eight weeks. 9'. The duration of activity F is greater than the duration of activity C by at least two weeks. Requirements: 1. For each activity calculate: ES, EF, Duration, LS, LF, and Slack. 2. This assignment can be done in a group of four. 3. Make a PowerPoint with animation and explanation to show how you solved the puzzle