Question

6:20 all 4G Done Project Management (0307530) Project Management (03753 Assignment No. 2/Fall 2019-220 Dee Date: Wednesday 6/11/2019 ( Total Raw Paints 20 Objective: This assignment is intended to provide you with an opportunity o e scheduling network analysis techniques using CPM and PERT.Ih sllaborations.of ans kindwill.nteeleatel dge and skils in id igmentand Examine the Sollewing table of activities, with stochastic (peobabilistic) dution estimates and predecessoe information (duration estimates are in eck) for a small peoject AtyOpin M yPi Predeo DuratnDuration 10 Daration A 21 - 10 18 4 18 15 D A B 28 4 10 22 H D.E 12 10 14 18 10 21 F.G Required Find all expestedactisity.dutions 7and aciancsmbedmtoliale I. 2. Based on the computed TEs, draw an AON (pendencelnetwrkdam preseting all project activities, making sure to label activik 3. Find the slack for cach activity and add it as a column to the table in mep ( 4. Find the critical path and expected completion time for the pject S. Find the peobability that the project will be completed in 45 wes 6. Find the expssted.completion tims comesponding to 95% pobaility sand their durations +

Answer 1

activity	To	Tm	Tp	Te	(V)^0.5	v
A	9	10	23	12	2.333333	5.444444
B	8	10	18	11	1.666667	2.777778
C	4	8	18	9	2.333333	5.444444
D	5	7	15	8	1.666667	2.777778
E	7	14	27	15	3.333333	11.11111
F	4	13	28	14	4	16
G	6	10	20	11	2.333333	5.444444
H	8	12	22	13	2.333333	5.444444
I	10	14	18	14	1.333333	1.777778
J	5	10	21	11	2.666667	7.111111

Te = 4*Tm+Tp+To /6

Var = [Tp-To/6]²

Critical path is BEI with duration 40.

Variance of critical path is 12.8888

SD of critical path is 3.59

activity	ES	EF	Ls	LF	Slack
A	0	12	7	19	7
B	0	11	0	11	0
C	0	9	9	18	9
D	12	20	19	27	7
E	11	26	11	26	0
F	11	25	12	26	1
G	9	20	18	29	9
H	26	39	27	40	1
I	26	14	26	40	0
J	25	36	29	40	4

Probability that the project will be completed in 45 weeks is given by

z = 45-40/3.59 =1.392

which corresponds to the probability of 0.917

Expected completion time for 95% probability with z =1.64

1.64 = T-40/3.59

T = 40+1,64x3,59 = 45.88 weeks = 46 weeks