Question
In: Operations Management
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.
Solutions
Expert Solution
Critical path method (CPM) is a step-by-step process by which critical and non-critical tasks are defined so that time-frame problems and process bottlenecks are prevented.
keosha answered 7 months agoRelated Solutions
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 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....
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...
activity follows optimistic duration most likely direction pessimistic duration A - 4 6 14 B A,C...
activity
follows
optimistic duration
most likely direction
pessimistic duration
A
-
4
6
14
B
A,C
3
4
5
C
-
3
5
13
D
A,E
12
18
24
E
-
8
10
18
F
A,E
4
6
8
G
B,F
7
8
9
H
G
10
12
14
I
G
5
6
7
J
D,I
5
7
9
Calculate the probability of completing the project between 35
and 40 weeks? [4 pts]
f Answer the project manager’s question:...
activity follows optimistic duration most likely direction pessimistic duration A - 4 6 14 B A,C...
activity
follows
optimistic duration
most likely direction
pessimistic duration
A
-
4
6
14
B
A,C
3
4
5
C
-
3
5
13
D
A,E
12
18
24
E
-
8
10
18
F
A,E
4
6
8
G
B,F
7
8
9
H
G
10
12
14
I
G
5
6
7
J
D,I
5
7
9
a) Calculate mean duration and standard deviation for all the
activities using the beta distribution. [4pts]
b) Construct a network...
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...
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 C is __________
a.
0
b.
2
c.
8
d.
4
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
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....
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