Question

NETWORK: PERT 4 - Consider the following table: ACTIVITY PREC. ACT. TIME ESTIMATES tml - 2 (days) tp c D, E 1) Construct a PERT network. [NOTE: This is the most crucial part of the exercise. Make sure you have the correct network before proceeding to the next sections.) 2) By using ES, EF, LF, LS, find the slack of each activity and the critical path. 3) Find the completion time (x) and the standard deviation (6) for the project- round off the standard deviation to the nearest hundredth: two decimal places. 4) What is the completion time at 95% confidence level? 5) What is the likelihood of this project being completed earlier than 14 days? 6) Between 13 and 15 days?

Answer 1

Pg No-0 Solution in Given data :- Prec- Act T Estimates ( tril Time to Activity 8 (2) - N - footalo w - e 1). Construct Part Diagram & Network :- | Activity Prec- Act Time (to) Esinate (tor) daysed te= to tmp ttp /6 3 te - 1+2+316 ام - oz tp-to/6 -3-1/ = 0433 4/2 = 01666 N ک - 116 = 0.33 یک W 2/3 = 0.67 - بر 1133033 دا

Pq No - ② Stack - LF - EF LS - LF - Em EF EF = t - ES Es tm Activity Ls Stock LF yt< 13.3 116) ozná 30 67 6 4 10 Activity I ES Critical Pathe - A-B-C-£-F

Pq No-B 3). Completion time (7) 16 days. then, Standard deviation (O) = 0.33+0.67+1 +0.67+ 0-33 ()- com)= 9:00 9.00 4). The Completion time at 95% Confidance level : - 2 2- * 1,845 X - 16 _ =1.645 3 2-16. - 4.935 X = 20.935 xs al days Capproximatly ) 5). The likeli hood of this project being completed Earlier than 14 days, - P(<14) D -u 14-16 3 = P(Z2-067) 0.2514

-- - -- Pg No-9 .6) Between 13 and 15 days in P (132 x< 15) = P(x< 15) - P(x<13) = P(Z < 154) - P(7-1564) i :(Z< -0.33) - P(26-1) 0.3707 -0.1587 = 0.2120 .: P (13<x<15) = 012120