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Posted by Moby Dick
on 18/6/2009, 9:18 am
A project to write some mathematical tools consists of 15 tasks. Completion of any of these tasks will save time on other tasks in the project as follows:
Task 1 savings: 2 hours on task 2: 2 hours on task 4: 1 hours on task 9
Task 2 savings: 2 hours on task 1: 3 hours on task 15
Task 3 savings: 4 hours on task 1: 1 hours on task 5
Task 4 savings: 1 hours on task 1: 1 hours on task 3: 2 hours on task 5: 1 hours on task 10
Task 5 savings: 1 hours on task 2: 1 hours on task 10: 1 hours on task 13: 1 hours on task 14: 1 hours on task 15
Task 6 savings: 1 hours on task 4: 1 hours on task 8: 2 hours on task 11: 1 hours on task 15
Task 7 savings: 2 hours on task 2: 3 hours on task 15
Task 8 savings: 4 hours on task 5: 1 hours on task 11
Task 9 savings: 1 hours on task 2: 2 hours on task 3: 1 hours on task 11: 1 hours on task 13
Task 10 savings: 4 hours on task 11: 1 hours on task 15
Task 11 savings: 1 hours on task 1: 1 hours on task 3: 1 hours on task 8: 1 hours on task 10: 1 hours on task 12
Task 12 savings: 3 hours on task 1: 1 hours on task 4: 1 hours on task 11
Task 13 savings: 2 hours on task 3: 3 hours on task 12
Task 14 savings: 1 hours on task 3: 1 hours on task 6: 1 hours on task 7: 1 hours on task 8: 1 hours on task 12
Task 15 savings: 2 hours on task 6: 2 hours on task 12: 1 hours on task 13
In what order would you recommend doing the tasks, and how much time would be saved?
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