Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, duratio
ID: 331839 • Letter: R
Question
Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels.
(weeks )
Immediate
(weeks )
Immediate
Activity
a
m
b
Predecessor(s)
Activity
a
m
b
Predecessor(s)
A
44
88
1010
long dash—
G
22
33
44
C, E
B
22
99
2424
A
H
22
22
22
F
C
99
1212
1616
A
I
77
77
77
F
D
44
66
99
A
J
44
77
1212
D, G, H
E
11
22
44
B
K
11
11
44
I, J
F
55
88
2121
C, E
a) To find the expected activity time, the beta distribution weights the three time estimates as follows.
Expected Time equals StartFraction left parenthesis a plus 4 m plus b right parenthesis Over 6 EndFractionExpected Time=(a+4m+b)6
Calculate the expected (estimated) time for activity C.
Expected Time =
12.1712.17
weeks (Round your response to two decimal places.)
b) To compute the variance of activity completion time, use the following formula.
Variance equals left parenthesis StartFraction left parenthesis b minus a right parenthesis Over 6 EndFraction right parenthesis squaredVariance=(b?a)62
Calculate the variance for activity C.
Variance =
11
weeks (Round your response to two decimal places.)
Consider the AON network for the project.
font size increased by 1 Upper DD
font size increased by 1 Upper FF
font size increased by 1 Upper GG
font size increased by 1 Upper AA
font size increased by 1 Upper EE
font size increased by 1 Upper CC
font size increased by 1 Upper BB
font size increased by 1 Upper HH
font size increased by 1 Upper II
font size increased by 1 Upper KK
font size increased by 1 Upper JJ
x y graph
c) The length of the path
Upper A minus Upper B minus Upper E minus Upper F minus Upper H minus Upper J minus Upper KA ? B ? E ? F ? H ? J ? K
is
40.6740.67
weeks. (Round your response to two decimal places.)
The length of the path
Upper A minus Upper B minus Upper E minus Upper F minus Upper I minus Upper KA ? B ? E ? F ? I ? K
is
38.3438.34
weeks. (Round your response to two decimal places.)
The length of the path
Upper A minus Upper B minus Upper E minus Upper G minus Upper J minus Upper KA ? B ? E ? G ? J ? K
is
nothing
weeks. (Round your response to two decimal places.)
Time(weeks )
Immediate
Time(weeks )
Immediate
Activity
a
m
b
Predecessor(s)
Activity
a
m
b
Predecessor(s)
A
44
88
1010
long dash—
G
22
33
44
C, E
B
22
99
2424
A
H
22
22
22
F
C
99
1212
1616
A
I
77
77
77
F
D
44
66
99
A
J
44
77
1212
D, G, H
E
11
22
44
B
K
11
11
44
I, J
F
55
88
2121
C, E
Explanation / Answer
(a)
Expected activity time for 'C' = (a + 4m + b)/6 = (9+4*12+16)/6 = 12.167 weeks
(b)
Variance of activity time for 'C' = (b - a)2/36 = ((16 - 9)^2)/36 = 1.36
(c)
(d)
(e)
Activity a m b te=(a+4m+b)/6 A 4 8 10 7.67 B 2 9 24 10.33 E 1 2 4 2.17 F 5 8 21 9.67 H 2 2 2 2.00 J 4 7 12 7.33 K 1 1 4 1.50 Total 40.67Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.