Which of the following activity is non-critical in the project given in the table below Activity Predecessor Duration Cost slope Workers/day P -- 3 20 5 Q -- 4 30 4 R P 4 25 4 S P, Q 3 25 5 T R 3 15 5 U R, S 4 55 4?

P
R
T
U

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : T

Concepts:

The total float of any activity is given as:

F_t = T_L^j – T_Eⁱ - t_ij

Where

T_L^j = latest allowable time of event j

T_Eⁱ = earliest expected time of event i

t_ij = duration of an activity

If F_t = 0 then that activity will be critical, otherwise it will be non – Critical.

[ alt="F1 Madhuri Engineering 13.06.2022 D2 1" src="//storage.googleapis.com/tb-img/production/22/06/F1_Madhuri_Engineering_13.06.2022_D2_1.png" style="width: 439px; height: 277px;">

The total float calculation for each activity is shown below in the tabulated form:

Activity	T_L^j	T_Eⁱ	Duration (t_ij)	Total Float (F_T)	Remarks
P	3	0	3	F_t = 3 - 0 - 3 = 0	Critical
Q	4	0	4	F_t = 4 – 0 - 4 = 0	Critical
R	7	3	4	F_t = 7 – 3 - 4 = 0	Critical
S	7	4	3	F_t = 7 – 4 - 3 = 0	Critical
T	11	7	3	F_t = 11 - 7 - 3 = 1	Non- Critical
U	11	7	4	F_t = 11 - 7 - 4 = 0	Critical

5 views Answered 2022-09-04 04:29

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