The activities required to service a car at a dealer can be viewed as a mini-project summarized in the following table:             Activity Predecessor Activity Optimistic a Most Likely m Pessimistic b A B C D E F G __ A B, E __ D E C,F 2 1 2 2 2 2 0.5 3.5 2 2.5 3 3 3 1 5 3 4 4 5 4 1.5   The variability in times required to perform each activity is due to the different types, sizes and conditions of the cars to be serviced. Round off times to two decimal places where fractional.   Draw the activity network for this problem (either AON or AOA)    Determine the Expected Time and Variance for each activity.    Show the activity schedule (ES, EF, LS, and LF) as well as slack (in table).    Determine and state the critical path for this project. This must be based on your work in (c) and not by inspection.    What are the expected time and the variance of the project?    What is the probability the project will be finished within 10 minutes?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The activities required to service a car at a dealer can be viewed as a mini-project summarized in the following table:

 

 

 

 

 

 

Activity

Predecessor Activity

Optimistic a

Most Likely m

Pessimistic b

A

B

C

D

E

F

G

__

A

B, E

__

D

E

C,F

2

1

2

2

2

2

0.5

3.5

2

2.5

3

3

3

1

5

3

4

4

5

4

1.5

 

The variability in times required to perform each activity is due to the different types, sizes and conditions of the cars to be serviced. Round off times to two decimal places where fractional.

 

  1. Draw the activity network for this problem (either AON or AOA) 

 

  1. Determine the Expected Time and Variance for each activity. 

 

  1. Show the activity schedule (ES, EF, LS, and LF) as well as slack (in table). 

 

  1. Determine and state the critical path for this project. This must be based on your work in (c) and not by inspection. 

 

  1. What are the expected time and the variance of the project? 

 

  1. What is the probability the project will be finished within 10 minutes? 

 

 

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  1. Determine and state the critical path for this project. This must be based on your work in (c) and not by inspection. 

 

  1. What are the expected time and the variance of the project? 

 

  1. What is the probability the project will be finished within 10 minutes? 
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