Question
In: Operations Management
The following activities are part of a project to be scheduled using CPM: ACTIVITY IMMEDIATE PREDECESSOR...
The following activities are part of a project to be scheduled
using CPM:
|
ACTIVITY |
IMMEDIATE PREDECESSOR |
TIME (WEEKS) |
|
A |
— |
7 |
|
B |
A |
6 |
|
C |
A |
2 |
|
D |
C |
4 |
|
E |
B, D |
3 |
|
F |
D |
4 |
|
G |
E F |
6 |
a. Draw the network (20 points)
b. What is the critical path?
c. How many weeks will it take to complete the project ?
d. Identify the early start, early finish, late start, and late finish for each activity in the project network
e. How much slack does activity B have ?
Solutions
Expert Solution
Answer:
First Identify the Earliest Start time (ES) and Earliest Finish time (EF)
ES = The latest EF of the precedence activities ( (Which is directly dependent on each other)
EF = ES + Duration
For the last activity ES = LS and EF = LF
now work backward
LF = Earliest LS of the following activities (Which is directly dependent on each other)
LS = LF - Duration
All activities are critical for which ES = LS
Critical Path: A - C - D - F - G
Project Duration = Sum of duration of critical activities = 23 weeks
Slack = LS - ES
Slack for Activity B = 8 - 7 = 1 week
keosha answered 1 year agoRelated Solutions
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A
B
5
20
B
-
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C
A,B
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D
A
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F
C
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G
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H
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A
Clear Site and mobilize labour and equipment
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Use the project description presented in the table below for the
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Time (days) Immediate Time (days) Immediate Activity a m b Predecessor(s) Activity a m b Predecessor(s)...
Time (days)
Immediate
Time (days)
Immediate
Activity
a
m
b
Predecessor(s)
Activity
a
m
b
Predecessor(s)
A
55
55
77
long dash—
H
44
44
66
E, F
B
11
22
55
long dash—
I
22
77
1010
G, H
C
55
55
55
A
J
22
44
77
I
D
44
88
1313
A
K
66
1010
1313
I
E
11
1010
1717
B, C
L
22
66
66
J
F
11
55
77
D
M
22
22
33...
Time (days) Immediate Time (days) Immediate Activity a m b Predecessor(s) Activity a m b Predecessor(s)...
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Immediate
Time (days)
Immediate
Activity
a
m
b
Predecessor(s)
Activity
a
m
b
Predecessor(s)
A
55
55
77
long dash—
H
44
44
66
E, F
B
11
22
55
long dash—
I
22
77
1010
G, H
C
55
55
55
A
J
22
44
77
I
D
44
88
1313
A
K
66
1010
1313
I
E
11
1010
1717
B, C
L
22
66
66
J
F
11
55
77
D
M
22
22
33...
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Duration, days
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A
8
None
B
7
A
C
4
None
D
11
C
E
7
B & D
The project started on Day 1. Assume 7 working days a week. For
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John is responsible for both activities B and D. However, he
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By...
The following table represents a project with four activities. All times are in weeks. Activity Immediate...
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All times are in weeks.
Activity
Immediate
Predecessor
Optimistic Time
Most Likely Time
Pessimistic Time
A
-
4
8
16
B
-
7
8
9
C
A
6
10
18
D
B
5
13
18
A. According to the data in the table. What is the critical
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B. According to the data in the table, what is the minimum
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C. According to the table...
A project has the following activities, precedence relationships, and time estimates in weeks: Activity Immediate...
A project has the following activities, precedence
relationships, and time estimates in weeks:
Activity
Immediate Predecessor
Activities
Optimistic
Time (to)
Most Likely Time (tm)
Pessimistic
Time (tp)
A
—
15
20
25
B
—
8
10
12
C
A
25
30
40
D
B
15
15
15
E
B
22
25
27
F
E
15
20
22
G
D
20
20
22
a. Compute the expected time and variance for
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Activity
Immediate
Predecessor(s)
Time
(Weeks)
A
---
3
B
---
4
C
A
6
D
B
9
E
B
6
F
C, D
6
G
D, E
8
H
G, F
9
Draw the network corresponding to the above
information.
Using a table format, identify the critical
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Immediate
Predecessor
Activity time (in
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A
None
3
B
A
2
C
A
1
D
B, C
3
E
D
4
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A
12 days
B
11 days
C
13 days
20. A forecasting method has produced the following over the
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