e the slack for each activity. VWhich activities are on the critical path? On critical path? (1) Slack Activity Time (weeks) Activity (weeks) A 3. (2) B 11 (3) 7 (4) 13 (5) E 10 (6) 6. (7) (6) H. 8. es (2) O Yes (3) O No (4) O No (5) O Yes No Voe Vos No LO

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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I sent this question in and got the Slacks in weeks but I didn’t see the yes or no’s for the critical paths 1-8
### Project for Improving a Billing Process: Precedence Relationships and Activity Times

#### Overview
This project involves improving a billing process and is broken down into various activities with specific precedence relationships and durations. 

#### Activity Details
The details of each activity, including their duration and immediate predecessors, are listed in the table below:

| Activity | Activity Time (weeks) | Immediate Predecessor(s) |
|----------|------------------------|--------------------------|
| A        | 3                      | -                        |
| B        | 11                     | -                        |
| C        | 7                      | A                        |
| D        | 13                     | B, C                     |
| E        | 10                     | B                        |
| F        | 6                      | D, E                     |
| G        | 5                      | D                        |
| H        | 8                      | F, G                     |

#### Network Diagram
To effectively manage the project, a network diagram is used to visually represent the sequence of activities and their dependencies. Two possible network diagrams are given below, labeled A and B.

- **Network Diagram A**:
  - This diagram uses circles to represent different activities (A, B, C, D, E, F, G, H).
  - Arrows indicate the dependencies between activities.
  - Activities with multiple predecessors are shown as merging arrows bringing them to the necessary activity.

- **Network Diagram B**:
  - This is another version using circles for activities and arrows for indicating dependencies.
  - Similar to Diagram A, it illustrates how each activity is contingent on the completion of its predecessors.

By examining the network diagrams, you can determine the correct sequence and relationships of the activities as described. 

In summary, Diagram A appears to be the correct representation of the activities and their dependencies based on the provided precedence and activity times. 

Choose the correct network diagram based on the given precedence relationships and activity durations to accurately plan and streamline the billing process improvement project.
Transcribed Image Text:### Project for Improving a Billing Process: Precedence Relationships and Activity Times #### Overview This project involves improving a billing process and is broken down into various activities with specific precedence relationships and durations. #### Activity Details The details of each activity, including their duration and immediate predecessors, are listed in the table below: | Activity | Activity Time (weeks) | Immediate Predecessor(s) | |----------|------------------------|--------------------------| | A | 3 | - | | B | 11 | - | | C | 7 | A | | D | 13 | B, C | | E | 10 | B | | F | 6 | D, E | | G | 5 | D | | H | 8 | F, G | #### Network Diagram To effectively manage the project, a network diagram is used to visually represent the sequence of activities and their dependencies. Two possible network diagrams are given below, labeled A and B. - **Network Diagram A**: - This diagram uses circles to represent different activities (A, B, C, D, E, F, G, H). - Arrows indicate the dependencies between activities. - Activities with multiple predecessors are shown as merging arrows bringing them to the necessary activity. - **Network Diagram B**: - This is another version using circles for activities and arrows for indicating dependencies. - Similar to Diagram A, it illustrates how each activity is contingent on the completion of its predecessors. By examining the network diagrams, you can determine the correct sequence and relationships of the activities as described. In summary, Diagram A appears to be the correct representation of the activities and their dependencies based on the provided precedence and activity times. Choose the correct network diagram based on the given precedence relationships and activity durations to accurately plan and streamline the billing process improvement project.
### Calculating Slack and Identifying Critical Path Activities

To effectively manage a project, it's essential to understand each activity's duration and its slack time. Slack, or float, represents the amount of time an activity can be delayed without affecting the project's overall completion time. This is critical for identifying which activities are on the project's critical path – the sequence of stages determining the project's minimum completion time.

Below is a table designed to analyze and identify the slack for each activity and determine which activities lie on the critical path. 

#### Project Activities Table

| **Activity** | **Activity Time (weeks)** | **On critical path?** | **Slack (weeks)** |
|--------------|---------------------------|------------------------|-------------------|
| **A**        | 3                         | (1)                    |                   |
| **B**        | 11                        | (2)                    |                   |
| **C**        | 7                         | (3)                    |                   |
| **D**        | 13                        | (4)                    |                   |
| **E**        | 10                        | (5)                    |                   |
| **F**        | 6                         | (6)                    |                   |
| **G**        | 5                         | (7)                    |                   |
| **H**        | 8                         | (8)                    |                   |

- **Activity Time (weeks):** This column records the duration required to complete each activity.
- **On critical path?:** This column is used to check if a given activity is part of the critical path. The possible values are "Yes" or "No".
- **Slack (weeks):** This column records the slack time for each activity, which indicates how long an activity can be delayed without delaying the overall project.

Use the input fields below to fill in the "On critical path?" and "Slack (weeks)" values based on the project's data and calculations. It's crucial to determine these details for efficient project handling and to ensure that critical activities receive the necessary focus to keep the project on track.

#### Understanding Graphs and Diagrams

*There are no graphical representations or diagrams included in this table. If future analysis includes such diagrams (e.g., Gantt charts, network diagrams), a detailed explanation should be provided for proper interpretation.*

For hands-on learning and practical application, ensure that you regularly update and monitor these columns throughout your project's lifecycle. Identifying the critical path and managing
Transcribed Image Text:### Calculating Slack and Identifying Critical Path Activities To effectively manage a project, it's essential to understand each activity's duration and its slack time. Slack, or float, represents the amount of time an activity can be delayed without affecting the project's overall completion time. This is critical for identifying which activities are on the project's critical path – the sequence of stages determining the project's minimum completion time. Below is a table designed to analyze and identify the slack for each activity and determine which activities lie on the critical path. #### Project Activities Table | **Activity** | **Activity Time (weeks)** | **On critical path?** | **Slack (weeks)** | |--------------|---------------------------|------------------------|-------------------| | **A** | 3 | (1) | | | **B** | 11 | (2) | | | **C** | 7 | (3) | | | **D** | 13 | (4) | | | **E** | 10 | (5) | | | **F** | 6 | (6) | | | **G** | 5 | (7) | | | **H** | 8 | (8) | | - **Activity Time (weeks):** This column records the duration required to complete each activity. - **On critical path?:** This column is used to check if a given activity is part of the critical path. The possible values are "Yes" or "No". - **Slack (weeks):** This column records the slack time for each activity, which indicates how long an activity can be delayed without delaying the overall project. Use the input fields below to fill in the "On critical path?" and "Slack (weeks)" values based on the project's data and calculations. It's crucial to determine these details for efficient project handling and to ensure that critical activities receive the necessary focus to keep the project on track. #### Understanding Graphs and Diagrams *There are no graphical representations or diagrams included in this table. If future analysis includes such diagrams (e.g., Gantt charts, network diagrams), a detailed explanation should be provided for proper interpretation.* For hands-on learning and practical application, ensure that you regularly update and monitor these columns throughout your project's lifecycle. Identifying the critical path and managing
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