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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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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? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about 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? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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