Question

Using the following information about Project A, its activities and predecessor activities below: Activity Predecessors A в B C D E, F D G

Answer 1

(e) time estimate (TE) = (TO + 4TM + TP)/ 6

Where TO = OPTIMISTIC TIME

TM = likely time

TP= PESSIMISTIC time

(f) standard deviation = (TP- TO)/6

(Te To + 4to Activity (TP) Possibisha L Optiroiste Expected time 725 4.83 3.1667 ó co w 8.6667 in & ww one of of w 3.8333 5.5 on 6.667 I 7.5 D

VARIANCE = Square of standard deviation

Where TP= pessimistic time

TO= optimistic time

To +4 tot TE EER to Ap-to]. go [In] Likely Te To +4 totle Espectedt To ptimiste Activity Pelisha Vasiloxe Stodos Delah 0.8333 za 4.83 0.694 o es lo 3.1667 0.5 0.25 107778 6 8.6667 1.3333 all JOWL5 I rb & 8o e o o Om os Om os 2.3333 5.4444 3.8333 0.8333 0.6944 5.5 1-1667 1.3611 in A w w 6.667 7.5 1.3333 1.8333 1.7778 3.3611

(g)

glos verting TE to cobole istegess:- Activity TE в з co E H ) ( ..--.0 لا لا ی د

(H) (ì)(j)(k)

coorliqq pote Caitical pall diagons Cafter forward f bookward pass ES: 17 LF: 1411 F-6 ES: 23 : 23 C90 TO G-7 AS @ B-3 @ GB ODO cs: 30 LF: 30 ES: 38 LF: 38 ES: 19 LF: 219 . (b) 10 The critical path is A-B-D-E-G-H & A-B-C-F-G-H. Total project Deration is 38 days ) Ck) Calculaboo of EF, L3, slack, & float for each activity:- [Carcal dinge path diagrams with forward & backward pass is gives above. Es&LF is coropaded in the diagroans | pod Activity (ES + Desahos Activity Duration ES (LF-Duration 0 , 4 EF 5 LS LE Total Float! Slack EFT-EST fas actively-beachool (TF-Hood eved shook) Post- Feel Float р polpende a B 3 3 5 s 0 0 I w р 11 10 0 о = 8 19 19 0 0 т t 19 23 19 23 0 0 т o 11 23 0 0 о 23 30 23 30 0 0 0 H 0 co 30 30 30 38 I Hesse, all slack of float for every activity is con

(l) Total float or slack comes zero only for activity in critical path. Hence our answer in (h) is confirmed.

The critical path are A-B-D-E-G-H and A-B-C-F-G-H

(J) Standard deviation of project = square root of variance of expected time of project

Variance of expected time = sum of variances of critical path activities

= 0.694+ 0.25+ 5.4444+0.6944+1.7778+3.3611

= 12.2213 (for critical path A-B-D-E-G-H)

Standard deviation of project= square root of variance

= 3.4959

For critical path A-B-C-FG-H , standard deviation = 3.036

Note: time limitation for answering last part