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?
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?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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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