Draw a project network for this problem.    Fill in all the blanks in the following table.    Note: For variance (σ2) in activity time, keep two decimal places.       Activity Expected Time t (weeks) Variance σ2   ES   EF   LS   LF   Slack Critical Path? A                 B                 C                 D                 E                 F                 G                 H                 I                   What is the expected time and variance to complete the project?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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  1. The manager of the Oak Hills Swimming Club is planning the club’s swimming team program. The first team practice is scheduled for May 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are as follows:

 

 

Activity

 

Optimistic

Most Probable

 

Pessimistic

Immediate Predecessors

A

1

2

3

-

B

4

6

8

A

C

2

4

6

A

D

1

2

3

B, C

E

2

3

4

B

F

1

2

3

A

G

1

2

3

D

H

1

2

3

G

I

1

1

1

E, H, F

 

 

 

 

 

  1. Draw a project network for this problem. 

 

  1. Fill in all the blanks in the following table. 

 

Note: For variance (σ2) in activity time, keep two decimal places.

 

 

 

Activity

Expected Time t (weeks)

Variance σ2

 

ES

 

EF

 

LS

 

LF

 

Slack

Critical

Path?

A

 

 

 

 

 

 

 

 

B

 

 

 

 

 

 

 

 

C

 

 

 

 

 

 

 

 

D

 

 

 

 

 

 

 

 

E

 

 

 

 

 

 

 

 

F

 

 

 

 

 

 

 

 

G

 

 

 

 

 

 

 

 

H

 

 

 

 

 

 

 

 

I

 

 

 

 

 

 

 

 



 

  1. What is the expected time and variance to complete the project?

 

  1. If the club manager plans to start the project on February 1, what is the probability the swimming program will be ready by the scheduled May 1 date (13 weeks)? 

 

  1. Suppose activity E were delayed for 4 weeks. By how much would the entire project be delayed? 

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