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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Suppose there are 8 activities in your project with the
following information.
Activity
Immediate Predecessor
Processing Time
(days)
Processing
Cost
($ per day)
A
B
5
20
B
-
4
40
C
A,B
6
30
D
A
7
10
E
C,D
6
25
F
C
5
40
G
E,F
4
25
H
F
3
50
What is the total project lead time?
a.) 40 b.)26 c.) 23
What activity is not part of the critical path?
a.) activity E b.)...
Information on a project’s activities is shown in the following table: Activity Immediate Predecessor Activity Time...
Information on a project’s activities is shown in the following
table:
Activity
Immediate
Predecessor
Activity Time
(wks)
Total Budgeted
Cost
A
-
4
24,000
B
-
3
27,000
C
B
2
14,000
D
A
8
32,000
E
D
3
24,000
F
C, E
4
60,000
G
D
6
30,000
H
F
6
30,000
I
G
4
20,000
J
G, H
3
18,000
K
I
2
10,000
L
J
4
16,000
Create a Gantt chart based on earliest start times. (20...
Activities, predecessors and duration for a School Building Project Activity Description Immediate predecessor Duration (days) A...
Activities, predecessors and duration for a School Building
Project
Activity
Description
Immediate predecessor
Duration (days)
A
Clear Site and mobilize labour and equipment
None
5
B
Excavate foundation
A
15
C
Procure materials (sand, cement, chippings etc.)
A
10
D
Pour foundation concrete
B, C
5
E
Mould sandcrete blocks (substructure)
C
5
F
Construct substructure block work
D, E
15
G
Construct superstructure block work
F, H
30
H
Make doors and window frames
I
10
I
Procure and...
Use the project description presented in the table below for the following questions: Activity Immediate Predecessor...
Use the project description presented in the table below for the
following questions: Activity Immediate Predecessor Optimistic Time
(O.T.) Most likely Time (M.T.) Pessimistic Time (P.T.) A None 4 6 9
B A 3 5 7 C A 4 7 12 D B 4 8 10 E C 5 9 15 F D 4 4 5 G D, E 3 6 8 H
F 5 6 10 I G 5 8 11 J H, I 5 5 5 Calculate the...
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)...
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...
QUESTION 5 A project has the following activities: Activity Duration, days Predecessor activity A 8 None...
QUESTION 5
A project has the following activities:
Activity
Duration, days
Predecessor activity
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
example, activity A start on Day 1 and finish on the end of day
8.
John is responsible for both activities B and D. However, he
CAN'T work on both of them on the same period.
By...
The following table represents a project with four activities. All times are in weeks. Activity Immediate...
The following table represents a project with four activities.
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
path?
B. According to the data in the table, what is the minimum
expected completion time for the project?
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
each activity.
b. Determine the critical path and the expected...
19. Consider a project consisting of five activities. The immediate predecessors and the activity times are...
19. Consider a project consisting of five activities. The
immediate predecessors and the activity times are summarized as
below:
Activity
Immediate
Predecessor
Activity time (in
days)
A
None
3
B
A
2
C
A
1
D
B, C
3
E
D
4
In CPM, what is the completion time of the project?
A
12 days
B
11 days
C
13 days
20. A forecasting method has produced the following over the
past five months. What is the mean absolute deviation...
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