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Logic Problem #5: Another Mysterious Network Diagram A project manager discovers that his team has neglected to complete the network dia- gram for the project. The network diagram is shown below. However, the project man- ager has some information available, specifically that each activity, labeled A-G. has a different duration between one and seven weeks. Also, the slack time for each of the activities is known as shown below. Duration (weeks): 1, 2, 3, 4, 5, 6, 7 Slack time (weeks): 0, 0, 0, 3, 6, 8, 8 D 47 B G START FINISH F 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. There exists only one critical path and it is the largest possible number given the possible durations shown. 2. Activity E has smallest amount of slack that is greater than zero. 3. The early finish time (EF) for Activity A is four weeks and this does not equal the latest finish time (LF). (Note: There is no negative slack in the network.) 4. The slack in Activity C is eight weeks. 5. The duration of Activity F is greater than the duration of Activity C by at least two weeks. Activity Duration Early Start Early Finish Latest Start Latest Finish A B D E F G