Question
In: Operations Management
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
| ACTIVITY | PRECEDING ACTIVITIES | OPTIMISTIC TIME (days) | MOST LIKELY TIME (days) | PESSIMISTIC TIME (days) |
| A | - | 5 | 10 | 15 |
| B | - | 10 | 12 | 14 |
| C | - | 10 | 10 | 10 |
| D | B,C | 2 | 4 | 6 |
| E | A | 4 | 8 | 12 |
| F | A | 4 | 8 | 12 |
| G | D,E | 10 | 12 | 14 |
| I | F | 4 | 8 | 12 |
| J | G | 2 | 4 | 6 |
The total slack for activity C is __________
| a. |
0 |
|
| b. |
2 |
|
| c. |
8 |
|
| d. |
4 |
Solutions
Expert Solution
The expected durations of each activity are presented below :
|
Task |
Optimistic (O) |
Most likely ( m) |
Pessimistic(P) |
Expected duration |
|
A |
5 |
10 |
15 |
10.00 |
|
B |
10 |
12 |
14 |
12.00 |
|
C |
10 |
10 |
10 |
10.00 |
|
D |
2 |
4 |
6 |
4.00 |
|
E |
4 |
8 |
12 |
8.00 |
|
F |
4 |
8 |
12 |
8.00 |
|
G |
10 |
12 |
14 |
12.00 |
|
I |
4 |
8 |
12 |
8.00 |
|
J |
2 |
4 |
6 |
4.00 |
Expected duration = ( Optimistic duration + 4 x Most likely duration + Pessimistic duration) / 6
The precedence diagram of activities as follows :
|
A |
B |
C |
|
|
F |
E |
D |
|
|
I |
G |
||
|
J |
|||
The possible parallel paths and their expected durations as follows :
A-F-I = 10 + 8 + 8 = 26
A-E-G-J = 10 + 8 + 12 + 4 = 34
B-D-G-J = 12 + 4 + 12 + 4 = 32
C-D-G-J = 10 + 4 + 12 + 4 = 30
Since A-E-G-J has the longest Expected duration, it forms the critical path.
Slack for activities C, D
= Duration A-E-G-J – Duration C-D-G-J
= 34 – 30 DAYS
= 4 days
|
TOTAL SLACK FOR ACTIVITY C = 4 DAYS |
keosha answered 2 years agoRelated Solutions
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity C is __________
Consider the following precedence chart: ACTIVITY PRECEDING ACTIVITIES OPTIMISTIC TIME (days) MOST LIKELY TIME (days) PESSIMISTIC...
Consider the following precedence chart:
ACTIVITY
PRECEDING ACTIVITIES
OPTIMISTIC TIME (days)
MOST LIKELY TIME (days)
PESSIMISTIC TIME (days)
A
-
5
10
15
B
-
10
12
14
C
-
10
10
10
D
B,C
2
4
6
E
A
4
8
12
F
A
4
8
12
G
D,E
10
12
14
I
F
4
8
12
J
G
2
4
6
The total slack for activity F is __________
a.
8
b.
4
c.
2
d.
0
Consider the following project. Times (days) Activity Optimistic Most Likely Pessimistic Preceding Tasks 1 8 10...
Consider the following project.
Times (days)
Activity
Optimistic
Most Likely
Pessimistic
Preceding Tasks
1
8
10
13
-
2
5
6
8
-
3
13
15
21
2
4
10
12
14
1,3
5
11
20
30
4
6
4
5
8
5
7
2
3
4
5
8
4
6
10
7
9
2
3
4
8,6
Draw the AON Network Diagram
Compute the expected activity time
Using the expected activity times, compute the early start,
early finish, late...
Times (days) Activity Optimistic Most Likely Pessimistic Preceding Tasks 1 8 10 13 - 2 5...
Times (days)
Activity
Optimistic
Most Likely
Pessimistic
Preceding Tasks
1
8
10
13
-
2
5
6
8
-
3
13
15
21
2
4
10
12
14
1,3
5
11
20
30
4
6
4
5
8
5
7
2
3
4
5
8
4
6
10
7
9
2
3
4
8,6
Draw the AON Network Diagram
Compute the expected activity time
Using the expected activity times, compute the early start,
early finish, late start, late finish, and...
1.The following time estimates are given for an activity: optimistic time = 16 days, most likely...
1.The following time estimates are given for an activity:
optimistic time = 16 days, most likely time = 24 days and
pessimistic time = 40 days.
What is the variance of this activity?
Group of answer choices
A. 9
B. 16
C. 20
D. 24
E. None of these answers are correct
2.The expected waiting time in line is equal to the expected
number of customers in line divided by the arrival rate
Group of answer choices
True
False
3....
Use the following project information: Activity Optimistic Time Estimate(weeks) Most Likely Time Estimates (weeks) Pessimistic Time...
Use the following project information:
Activity
Optimistic Time
Estimate(weeks)
Most Likely
Time
Estimates (weeks)
Pessimistic
Time
Estimates (weeks)
Immediate
Predecessor(s)
A
2
7
11
none
B
2
5
9
A
C
4
6
12
A
D
5
6
10
B
E
6
10
17
C
F
3
4
6
D,E
G
3
6
10
D,E
H
5
7
10
F
I
5
8
11
G
J
3
3
3
H,I
(a) Calculate the expected completion time for
this project.
(Round...
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....
1. The following time estimates are given for an activity: optimistic time = 16 days, most...
1. The following time estimates are given for an activity:
optimistic time = 16 days, most likely time = 24 days and
pessimistic time = 38 days. What is the expected time to complete
this activity? Group of answer choices A. 16 B. 24 C. 38 D. 25 E.
None of these answers are correct
2. The project duration is equal to the sum of the durations of
all activities in a network.
Group of answer choices
True
False
3.The...
QUESTION 7 [18 MARKS) In the following table, optimistic, most likely and pessimistic time estimates have...
QUESTION 7
[18 MARKS)
In the following table, optimistic,
most likely and pessimistic time estimates have been given for each
activity for a project.
Task
Immediate
Predecessor(s)
Time (days)
Optimistic (a)
Most Likely (m)
Pessimistic (b)
A
None
5
7
12
B
None
8
8
8
C
A
2
6
10
D
A,B
12
14
19
E
C,D
6
6
12
F
B,E
3
12
18
G
F
6
8
10
Construct an activity on node network diagram for this...
Given the following project: Activity Predecessor Optimistic (day) Most Likely (day) Pessimistic (day) Start A, B,...
Given the following project:
Activity
Predecessor
Optimistic (day)
Most Likely (day)
Pessimistic (day)
Start
A, B, C
-
-
-
A
D
38
50
62
B
E
90
99
108
C
End
85
100
115
D
F
19
25
31
E
End
91
100
115
F
End
62
65
68
Identify the critical path of the project using activity
expected time.
What is the probability that the critical path will be
completed in 205 days.
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