Ken Johnston, the data processing manager for Stanley Morgan Bank, is planning a project to install a new management information system. He now is ready to start the project, and wishes to finish in 20 weeks. After identifying the 14 separate activities needed to carry out this project, as well as their precedence relationships and estimated durations (in weeks), Ken has constructed the following project network:

(a) Find all the paths and path lengths through this project network. Which of these paths is a critical path?
(b) Find the earliest times, latest times, and slack for each activity. Will Ken be able to meet his deadline if no delays occur?
(c) Use the information from part (b) to determine which of the paths is a critical path. What does this tell Ken about which activities he should focus most of his attention on for staying on schedule?
(d) Use the information from part (b) to determine what the duration of the project would be if the only delay is that activity I takes 2 extra weeks. What if the only delay is that activity H takes 2 extra weeks? What if the only delay is that activity J takes 2 extra weeks?

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