Question

1. (15 points)

Activity	Immediate Predecessor	Optimistic Time	Most likely Time	Pessimistic Time
A	NONE	4	7	9
B	A	2	4	6
C	A	6	9	9
D	B, C	5	5	5
E	C	2	5	9
F	D, E	3	3	6

Use both the longest path method and ES/EF; LS/LF method for the following questions

(e) What are the slack values for non-critical activities? (4 points)

      (f) What is the probability that the project will be completed in 26 weeks? (2 points)

(g) What is the probability that the project will be completed in 23 weeks? (2 points)

Answer 1

gewen that Optime the Most Pessimenti Activity Predecessor time Am To Teruete) likely time 14 79 A2 46 A 6919 Bics 55 NONE DIE ES EELS LF TE ARTES-Earket 0 Start 8.33 0 8.33 8.33 0.69 EF-Carlist 8.33 12:33 12.99 16.99 a on Finish 8.33 16.838.33 16.83 25-Lateet 11685 1685 0.25 Start 12:33 17:33 16:29 21.99 KF - Latest Flrich 16.83 21:99 (6.83 21.99 5.16 1:36T F-Total 21.99 25.49 21.99 2549 3.5 0.25 Float ar varience Tips Li-[Epttig] Expected time Te To #45m + Tp 6 To-Optimistic time, Tm: Mort (9 key time Emitee time

Project Network diagram Bimeste mon-critical activity [123216.59 OF 8:33 A - [{8-a 3 5 = 2. 4 10 91.421-99 CX 5.16 tut tu. sh st TT e there is only one non-critical autwety, ie, Boactivity Slack values for non-critical activity B-)| 12.33 [ 16.99) Slack of B-) 16.99-12033=466 | Slack of B =) 466) Varlenece a (1:1) for Agate (9-4)=)=0.69 for 3-0 (6-2)=(4) -0.44 for Con=19-6)=335 0.25 for Dan ence

for Es ar 1932)=(29=136 for F =) -(6-3)=(3) = 0.25 & Standard Normal deviation (2) Be Due time-time required to Complete the progeet Sum of vasions of critical V activities in the cortical path f Due time = 26 week's total Project duration obtaned = 25.49 Sum of varients of critteal activities in the Britical path 0.6970.25-41:36+0.25 critical path = ARC-E-F= 25.49 26- 25049 -0.3193 10.6970-25+1.36 +0.25 from Normal dietribution tables, - Probability for project to complete in 26 weeks = 0.62172.

a similarly, le 723-25.49 JO:69 +0.25 +1:36 10:25 Z- 105592 from Normal de tribution tables, > Doobability for project to complete in 23 weeks = 0.06057