A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks. A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks. You must use two decimal places at all times for expected times when they are not integers.   (a) Draw the activity network for this problem  (b) Determine the Expected Times.  (c) Determine the activity schedule (ES, EF, LS, and LF) as well as slack.  (d) Determine and state the critical path for this project.  (e) What are the expected time and the variance of the project?  (f) What is the probability that the project is completed in 22 or fewer weeks (g) What date should be set such that there is a 94% chance of completion within that time?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks.
A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks.

You must use two decimal places at all times for expected times when they are not integers.

 

(a) Draw the activity network for this problem 


(b) Determine the Expected Times. 


(c) Determine the activity schedule (ES, EF, LS, and LF) as well as slack. 


(d) Determine and state the critical path for this project. 


(e) What are the expected time and the variance of the project? 


(f) What is the probability that the project is completed in 22 or fewer weeks

(g) What date should be set such that there is a 94% chance of completion within that time?

 

Optimistic Most Most
likely pessimistic
time
Activity Immediate
Variance
predecessors time
time
A
2
3
4 0.11111
В
2
4
0.44444
C
А,В
1
3
0.11111
D
В
1
3
5
0.44444
E
A
3
4
0.11111
F
C
4
7
1
G
E,F
2
2
H
D,F
2
5
1
I
G,H
3
5
0.44444
J
I
3
4
0.11111
00
2.
1.
2.
1.
Transcribed Image Text:Optimistic Most Most likely pessimistic time Activity Immediate Variance predecessors time time A 2 3 4 0.11111 В 2 4 0.44444 C А,В 1 3 0.11111 D В 1 3 5 0.44444 E A 3 4 0.11111 F C 4 7 1 G E,F 2 2 H D,F 2 5 1 I G,H 3 5 0.44444 J I 3 4 0.11111 00 2. 1. 2. 1.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,