Question

Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building ne a b 2 5 1 Activity А B С D E F 1 Time (weeks) a m b 6 8 10 2 9 23 9 12 16 5 6 10 1 3 4 5 9 20 Immediate Predecessor(s) Activity G A H А А B к CE Time (weeks) m 3 1 7 7 3 Immediate Predecessor(s) CE F F D.GH 1,J 1 J 7 4 3 7 14 4 a) The expected (estimated) time for activity Cis weeks (Round your response to two decimal places.)

Answer 1

316 233 5 1016 The 746 0.83 3-16

Activity	To	Tm	Tp	Te	(Var)^0.5	Var
A	6	8	10	8	0.666667	0.444444
B	2	9	23	10.16667	3.5	12.25
C	9	12	16	12.16667	1.166667	1.361111
D	5	6	10	6.5	0.833333	0.694444
E	1	3	4	2.833333	0.5	0.25
F	5	9	20	10.16667	2.5	6.25
G	2	3	5	3.166667	0.5	0.25
H	1	1	1	1	0	0
I	7	7	7	7	0	0
J	4	7	14	7.666667	1.666667	2.777778
K	3	3	4	3.166667	0.166667	0.027778

1. Expected time for activity C is 12.16

2. Variance of activity C is 1.3611

3 ABEFIK is the critical path with duration 41.31

4 Variance along CP is 19.222

5 Prob that project will be completed in 40 weeks is

z =40-41.31 / (19.222)^0.5

=-0.2987

which corresponds to probability of 0.3818