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