Question
In: Operations Management
Activity Predecessor Activity Duration in Weeks A ---- 3 B A 5 C A 7 D...
| Activity | Predecessor Activity | Duration in Weeks |
| A | ---- | 3 |
| B | A | 5 |
| C | A | 7 |
| D | B | 10 |
| E | C | 5 |
| F | D, E | 4 |
Using the Critical Path Method (CPM), find the critical part, activities, and the date to finish the project (Gantt Chart would help).
I would really appreciate excel screenshots!
Solutions
Expert Solution
Create network diagram as follows:
List the alternative paths in the network and their respective length.
Length of each path is equal to the sum of times of activities on that path.
| Path | Length |
| A-B-D-F | 22 |
| A-C-E-F | 19 |
The longest and hence critical path is: A-B-D-F
Date to finish the project = 22 weeks
Gantt chart is following:
keosha answered 3 weeks agoRelated Solutions
Activity Duration Predecessor Cost A 8 - 25000 B 12 - 42000 C 7 A 18000...
Activity
Duration
Predecessor
Cost
A
8
-
25000
B
12
-
42000
C
7
A
18000
D
10
A
27000
E
14
B,C
46000
F
5
B,C
12000
G
3
D,E
7000
H
12
D,E
42000
I
10
F,G
36000
Consider the following project data. Assume costs are incurred
upon completion of an activity. At the end of the project a lump
sum payment of 340,000 is to be made.
a) Find the net present value of the project at...
Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.
Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.
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...
Activity Predecessor Optimistic Most Likely Pessimistic A 4 7 10 B 2 9 10 C A,B...
Activity
Predecessor
Optimistic
Most Likely
Pessimistic
A
4
7
10
B
2
9
10
C
A,B
2
5
8
D
C
16
19
28
E
C
6
9
24
F
E
1
7
13
G
C
4
10
28
H
D,F
2
5
14
I
G,F
5
8
17
J
H,I
2
5
8
Determine the expected completion
time for each activity.
Construct the AON network for the
activities of this contract and determine the critical path for the
project.
Activity Code Immediate Predecessors Activity Duration (Week) A None 3 B A 3 C A 2...
Activity Code
Immediate Predecessors
Activity Duration (Week)
A
None
3
B
A
3
C
A
2
D
C
2
E
B&C
3
F
B
2
G
D&E
1
H
G
4
I
F
7
J
H&I
2
K
J
4
L
F
6
Activity Code
Early Start
Early Finish
Late start
Later Finish
Total Float
A
0
3
0
3
0
B
3
6
3
6
0
C
3
5
5
7
2
D
5
7
8
10
3
E...
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...
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...
Activity Duration(hours) Depends on : Numbers of workers A 5 4 B 2 2 C 4...
Activity
Duration(hours)
Depends on :
Numbers of workers
A
5
4
B
2
2
C
4
5
D
6
A,B
1
E
2
A,B,C
6
F
2
B,C
3
G
5
F
4
H
8
E,F
2
I
3
G
7
J
5
H,I
3
K
6
J
4
L
8
I
3
Calculate a lower bound for the number of workers required to
complete the project in 26 days. [2 ????]
Use the precedence table to draw an activity-on-arc...
Activity Optimistic Time Estimate (weeks) Most Likely Time Estimates (weeks) Pessimistic Time Estimates (weeks) Immediate Predecessor(s)...
Activity
Optimistic Time Estimate
(weeks)
Most Likely Time Estimates (weeks)
Pessimistic Time Estimates (weeks)
Immediate Predecessor(s)
A
3
6
9
none
B
3
5
7
A
C
4
7
12
A
D
4
8
10
B
E
5
10
16
C
F
3
4
5
D, E
G
3
6
8
D, E
H
5
6
10
F
I
5
8
11
G
J
3
3
3
H, I
A.)Using the information given, construct a network diagram
using AON notation....
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