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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 e and f, respectively, are
[2014]
- a)0 and 4
- b)1 and 4
- c)2 and 3
- d)3 and 1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The precedence relations and duration (in days) of activities of a pro...
= (E, L)TF = LFT – EFT = LST – EST
(TF)F ⇒ 7 - 4 -2 = 1
(TF)F ⇒ 12 - 4 - 4 = 4
Most Upvoted Answer
The precedence relations and duration (in days) of activities of a pro...
Given information:
- Precedence relations and duration (in days) of activities of a project network are given in the table.
- Need to calculate the total float (in days) of activities e and f.
To calculate the total float of activities e and f, we need to first understand what is total float.
Total Float: It is the amount of time that an activity can be delayed without delaying the project completion date.
Calculation of Total Float:
Total Float = LF - EF or LS - ES
where,
LF = Latest Finish time of the activity
EF = Earliest Finish time of the activity
LS = Latest Start time of the activity
ES = Earliest Start time of the activity
Now, let's calculate the total float of activities e and f.
Activity e:
EF = Max (EF of activity d + duration of activity d, EF of activity c + duration of activity c) = Max (20+2, 22+1) = 22
LF = Min (LF of activity f - duration of activity f, LF of activity g - duration of activity g) = Min (27-1, 29-2) = 26
Total Float of activity e = LF - EF = 26 - 22 = 4
Activity f:
EF = Max (EF of activity d + duration of activity d, EF of activity c + duration of activity c) = Max (20+2, 22+1) = 22
LF = Min (LF of activity h - duration of activity h, LF of activity g - duration of activity g) = Min (30-3, 29-2) = 27
Total Float of activity f = LF - EF = 27 - 22 = 5
Therefore, the total float of activities e and f are 4 and 5 respectively. Hence, the correct option is B) 1 and 4.
- Precedence relations and duration (in days) of activities of a project network are given in the table.
- Need to calculate the total float (in days) of activities e and f.
To calculate the total float of activities e and f, we need to first understand what is total float.
Total Float: It is the amount of time that an activity can be delayed without delaying the project completion date.
Calculation of Total Float:
Total Float = LF - EF or LS - ES
where,
LF = Latest Finish time of the activity
EF = Earliest Finish time of the activity
LS = Latest Start time of the activity
ES = Earliest Start time of the activity
Now, let's calculate the total float of activities e and f.
Activity e:
EF = Max (EF of activity d + duration of activity d, EF of activity c + duration of activity c) = Max (20+2, 22+1) = 22
LF = Min (LF of activity f - duration of activity f, LF of activity g - duration of activity g) = Min (27-1, 29-2) = 26
Total Float of activity e = LF - EF = 26 - 22 = 4
Activity f:
EF = Max (EF of activity d + duration of activity d, EF of activity c + duration of activity c) = Max (20+2, 22+1) = 22
LF = Min (LF of activity h - duration of activity h, LF of activity g - duration of activity g) = Min (30-3, 29-2) = 27
Total Float of activity f = LF - EF = 27 - 22 = 5
Therefore, the total float of activities e and f are 4 and 5 respectively. Hence, the correct option is B) 1 and 4.
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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 e and f, respectively, are[2014]a)0 and 4b)1 and 4c)2 and 3d)3 and 1Correct answer is option 'B'. Can you explain this answer?
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