The activities required to service a car at the Exclusive Car Mart is summarised in the following table:    Table 1: Activity Times and Predecessors   Minutes Required Activity Description Predecessor  Activity Optimistic a Most Likely m Pessimistic b A B C D E F G H Drain Oil Replace Filter Refill Oil Check Tyres Wash Windows Fill Fluids Service A/c Final Test --- A B, E --- D E C C, F 3 2 3 3 4 4 3 1.5 4.5 3 4.5 4 3 4 3 2 7 5 6 6 7 6 5 3.5   The variability in times required to perform each activity is due to the different types, sizes, and conditions of the cars to be serviced.  Required Draw the activity network for this problem (either AON or AOA) Determine the Expected Time and Variance for each activity. Round to 2 decimal places where applicable. Show the activity schedule (ES, EF, LS, and LF) as well as slack.  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 standard deviation of the project?

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10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The activities required to service a car at the Exclusive Car Mart is summarised in the following table: 

 

Table 1: Activity Times and Predecessors

 

Minutes Required

Activity

Description

Predecessor

 Activity

Optimistic a

Most Likely m

Pessimistic b

A

B

C

D

E

F

G

H

Drain Oil

Replace Filter

Refill Oil

Check Tyres

Wash Windows

Fill Fluids

Service A/c

Final Test

---

A

B, E

---

D

E

C

C, F

3

2

3

3

4

4

3

1.5

4.5

3

4.5

4

3

4

3

2

7

5

6

6

7

6

5

3.5

 

The variability in times required to perform each activity is due to the different types, sizes, and conditions of the cars to be serviced. 

Required

  • Draw the activity network for this problem (either AON or AOA)
  • Determine the Expected Time and Variance for each activity. Round to 2 decimal places where applicable.
  • Show the activity schedule (ES, EF, LS, and LF) as well as slack. 
  • 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 standard deviation of the project? 

 

 

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