Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN: 9780547587776
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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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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