Question

Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Time (weeks) Immediate Predecessor(s) Immediate Predecessor(s) Activity a Activity a b C, E Time (weeks) m b 910 1 9 24 9 14 18 4 6 9 - NW UI – NW A A F 1 Timow 00 wooo F D, G, H I, J Y W w C, E

I need to know:

a. The expected​ (estimated) time for activity C is____weeks. ​(Round your response to two decimal​ places.)

b. The variance for activity C is ___ weeks

c. Based on the calculation of the estimate time the critical path it is __ __ __ __ __ __

d. The activity variance along the critical path is ___ weeks

e. The probability hopkins hospital will finish the project in 40 weeks or less is _____

Answer 1

Activity	Optimistic time-a	Expected completion time-m	Pessimistic time-b	Expected time= (a+4*m+ b)/6	Variance, (sigma)^2= (b-a/6)^2
A	4	8	12	8.00	1.78
B	2	9	24	10.33	13.44
C	8	14	18	13.67	2.78
D	4	7	10	7.00	1.00
E	1	3	4	2.83	0.25
F	5	8	21	9.67	7.11
G	2	3	5	3.17	0.25
H	1	1	1	1.00	0.00
I	7	7	7	7.00	0.00
J	4	8	14	8.33	2.78
K	3	3	4	3.17	0.03

Answer a: Expected time of activity C= 13.67

Answer b: Variance for activity C= 2.78

Paths	Duration
ABEFHJK	43.33
ABEGJK	35.83
ABEFIK	41.00
ACGJK	36.33
ACFHJK	43.83
ACFIK	41.50
ADJK	26.50

Answer c) Based on the calculation of the estimated​ times, the critical path is ACFHJK

Answer d: The estimated time for the critical path is 43.83