Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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**Project Management: Time Estimation for Carpet Installation in Commercial Offices**

Kelle Carpet and Trim specializes in installing carpets in commercial office spaces. Recently, Peter Kelle has expressed concerns about the varying timeframes required to complete past projects. This variability largely stems from some employees' inconsistent performance. To address this, a detailed list of activities, along with their optimistic, most likely, and pessimistic completion times (all recorded in days), is provided below:

| Activity | Time (days) |        | Immediate Predecessor(s) |
|:--------:|:-----------:|:------:|:------------------------:|
|          |  a  |  m  |  b  |                             |
| A        |  4  |  5  |  9  |   —                         |
| B        | 10  | 11  | 12  |   —                         |
| C        |  1  |  2  |  3  |   —                         |
| D        |  7  |  8  |  9  |  C                          |
| E        |  2  |  4  |  6  |  B, D                       |
| F        |  1  |  2  |  3  |  A, E                       |
| G        |  7  | 11  | 14  |  A, E                       |
| H        | 10  | 11  | 12  |  F                          |
| I        |  4  |  6  |  8  |  G                          |
| J        | 13  | 15  | 17  |  C                          |
| K        |  5  |  9  | 13  |  H, I                       |

**Note:** This exercise focuses only on part a.

**Objective:**

- **a)** Calculate the expected time and variance for each activity based on the provided time estimates.
- **Instructions:** Round your responses to two decimal places.

| Activity | Expected Time | Variance |
|:--------:|:-------------:|:--------:|
| A        |               |          |
| B        |               |          |
| C        |               |          |
| D        |               |          |
| E        |               |
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Transcribed Image Text:**Project Management: Time Estimation for Carpet Installation in Commercial Offices** Kelle Carpet and Trim specializes in installing carpets in commercial office spaces. Recently, Peter Kelle has expressed concerns about the varying timeframes required to complete past projects. This variability largely stems from some employees' inconsistent performance. To address this, a detailed list of activities, along with their optimistic, most likely, and pessimistic completion times (all recorded in days), is provided below: | Activity | Time (days) | | Immediate Predecessor(s) | |:--------:|:-----------:|:------:|:------------------------:| | | a | m | b | | | A | 4 | 5 | 9 | — | | B | 10 | 11 | 12 | — | | C | 1 | 2 | 3 | — | | D | 7 | 8 | 9 | C | | E | 2 | 4 | 6 | B, D | | F | 1 | 2 | 3 | A, E | | G | 7 | 11 | 14 | A, E | | H | 10 | 11 | 12 | F | | I | 4 | 6 | 8 | G | | J | 13 | 15 | 17 | C | | K | 5 | 9 | 13 | H, I | **Note:** This exercise focuses only on part a. **Objective:** - **a)** Calculate the expected time and variance for each activity based on the provided time estimates. - **Instructions:** Round your responses to two decimal places. | Activity | Expected Time | Variance | |:--------:|:-------------:|:--------:| | A | | | | B | | | | C | | | | D | | | | E | |
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