GATE ME 2014 Set 4 — Question 60
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Industrial Engineering → Operations Research → PERT & CPM
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Question
The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities and , respectively, are
| Activity | Predecessors | Duration (days) |
|---|---|---|
| a | - | 2 |
| b | - | 4 |
| c | a | 2 |
| d | b | 3 |
| e | c | 2 |
| f | c | 4 |
| g | d, e | 5 |
Correct answer
(B) 1 and 4
Solution
1.Identify all paths and their durations:
- Path 1: a-c-e-g days
- Path 2: a-c-f days
- Path 3: b-d-g days (Critical Path)
3.Calculate Total Float ():
- For activity :
day
- For activity :
(end of project)
daysThus, the total floats are 1 and 4 respectively.
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