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This case study is an individual work and carries 20% of grade. The answer should be submitted on Moodle as (Microsoft word document). Read the case and answer the question given at the end. 1. Submission Date of written report is April 8, 2022 before 23:59 Hours. No late submissions allowed Your parents have delegated you the responsibility to move into new house. It is a very big task and you are taking it as a project. You have discussed the arrangements with the mover. You have identified 9 activities to be accomplished during the move operation Activity codes are listed in table below. Optimistic time (to), Most likely time (tm), and Pessimistic time (to) limits are also given in table in units of days. Using the probabilistic time estimate formula find the following: 1. Draw the diagram with path, activities and duration of each activity (10 marks) 2. Compute each activity time and path duration in the table (5 marks) 3. Determine total expected project duration time with slack (5 marks) Total activity Optimistic Activity Time to A 3 B 3 2 4 Most Likely Pessimistic Time tm Time to 4 5 5 7 3 4 Path A-B-C 5 6 7 9 8 9 Path D-E-F 6 8 5 7 6 7 5 F 7 G H 1 4 3 5 Path G-H-1