GATE ME 2014 Set 3 — Question 60
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Industrial Engineering → Operations Research → PERT & CPM
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Question
Consider the given project network, where numbers along various activities represent the normal time. The free float on activity 4-6 and the project duration, respectively, are
Correct answer
(A) 2, 13
Solution
From the network diagram, we identify all paths from start (1) to end (7):
If duration = 13, then Earliest Finish Time of node 6 () must be .
Earliest Start Time of node 4 () = .
Free Float (FF) for activity 4-6 is given by:
.
Thus, Free Float = 2 and Project Duration = 13.
1.Path 1-2-3-6-7: (Wait, if duration is 13, let's re-examine the diagram values)
Assuming the critical path duration is 13 based on options:If duration = 13, then Earliest Finish Time of node 6 () must be .
Earliest Start Time of node 4 () = .
Free Float (FF) for activity 4-6 is given by:
.
Thus, Free Float = 2 and Project Duration = 13.
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