A project has 8 activities. The project completion time must be shortened by 2 d

Question

A project has 8 activities. The project completion time must be shortened by 2 days. Activity A, 29 days. IP: none; $55 per day; 3 days Activity B. 33 days, IP: none; $47 per day; 3 days Activity C, 40 days. IP: none; $59 per day; 3 days Activity D, 25 days. IP: A; $41 per day; 3 days Activity E. 38 days. IP: B; $54 per day; 3 days Activity F, 29 days. IP: C; $44 per day; 3 days Activity G. 36 days. IP: D; $30 per day; 1 day Activity K. 20 days. IP: E, F; $86 per day; 1 day The above information signifies that activity D has a duration of 25 days, has activity A as its immediate predecessor. Furthermore, its crashing cost is $41 per day and it can be crashed for a maximum of 3 days The minimum cost to crash the project by 2 days is $

Explanation / Answer

As per the data given, the cost of crashing is lowest for activity G i.e. $ 30. But it can be crashed for only 1 day.

After G , the lowest crashing cost is of activity D. So lets assume the activity D crashes after activity G for 1 day.

So the minimum cost to crash the project by 2 days = $ 30 ( cost of crash of G for 1 day ) + $ 41 ( cost of crash of D for 1 day) =$ 71

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