Question

Network Diagrams & PERT Question:

We are remodeling the da Vinci Lounge in the Spencer Engineering Building.

A. Identify the critical path
B. Identify the slack for each element
C. Identify the most and least sensitive element
D. Identify the predicted project duration (TE)
E. Z is the number of standard deviations from the mean found in the statistical table below, and
defined by the relationship:
Z = (Ts - TE) / SQRT(Σσte2 ) where only critical path σte are included in the summation.
If the company’s scheduled time to complete the work (Ts) is 70 days, then what is the likelihood
that we finish the remodeling project on time? Express your probability response as a
percentage rounded to the nearest integer.

Variance Likely Worst Time est. (days) M B TE =(A+(4M)+B)/6 St. Dev Ote =(B-A)/6 Ote^2 4 6 Activity Preceding Best activity A a. Rough in 3 walls b. Redo Tim 4 Hortons C. run HVAC 12 a 6 11 15 30 bc 12 15 20 d. rough in electrical e. complete flooring f. windows 7 12 a 22 e 2 17 19 de 13 17 19 f 5 10 15 g. install fire alarm h. deliver llounge chairs İ. exposed ceiling reviews j. murals g 11 13 20 g,h 12 12 13 16 8 12 22 k. sound system

Answer 1

Task	O	M	P	Te	Var^0.5	Variance
A	3	4	6	4.166667	0.5	0.25
B	4	6	11	6.5	1.166667	1.361111
C	12	15	30	17	3	9
D	12	15	20	15.33333	1.333333	1.777778
E	7	12	22	12.83333	2.5	6.25
F	2	17	19	14.83333	2.833333	8.027778
G	13	17	19	16.66667	1	1
H	5	10	15	10	1.666667	2.777778
I	11	13	20	13.83333	1.5	2.25
J	12	13	16	13.33333	0.666667	0.444444
K	8	12	22	13	2.333333	5.444444

11-819-%9 (6 9 4:16 (332 (เ“66 (0) 1965 17 137 38) (0) 17

Activity	ES	EF	LS	LF	Slack
A	0	4.16	0.5	4.66	0.5
B	4.16	10.66	10.5	17	6.34
C	0	17	0	17	0
D	17	32.33	17	32.33	0
E	4.16	17	4.66	17.5	0.5
F	17	31.83	17.5	32.33	0.5
G	32.33	49	32.33	49	0
H	31.83	41.83	39	49	7.16
I	49	62.83	49	62.83	0
J	49	62.33	49.5	62.83	0.5
K	62.83	75.83	62.83	75.83	0

Critical path = CDGIK

Slack has been given in table

The tasks with highest SD ( or variance)  are most sensitive, i.e. C,F,E,K,H while tasks like H,I and D are less sensitive as they have low variance.

Ptoject duration is 75.83

Note: As per policies, I cana answer first 4 parts of a question, Inconvenience is regretted.