This was a three part question. Bartelby helped me get A and B. The picture for Part A is the network diagram and Part B's answer is below for the critical path. My question I need to answer is Part C which is in the second picture. Part B There are the following paths in the project network. A –> B –> D –> G –> J = 2 + 4 + 2 + 3 + 7 = 18 A –> B –> E –> G – >J = 2 + 4 + 1 + 3 + 7 = 17 A –> B –> F –> H –> J = 2 + 4 + 8 + 5 + 7 = 25 A –> C –> F –> H –> J = 2 + 5 + 8 + 5 + 7 = 27 A –> C –> F –> I –> J = 2 + 5 + 8 + 4 + 7 = 26 The longest path in all the possible paths of the project network is A –> C –> F –> H –> J with the longest time. Therefore, the project duration is 27 days.

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This was a three part question. Bartelby helped me get A and B. The picture for Part A is the network diagram and Part B's answer is below for the critical path. My question I need to answer is Part C which is in the second picture.

Part B There are the following paths in the project network.

  • A –> B –> D –> G –> J = 2 + 4 + 2 + 3 + 7 = 18
  • A –> B –> E –> G – >J = 2 + 4 + 1 + 3 + 7 = 17
  • A –> B –> F –> H –> J = 2 + 4 + 8 + 5 + 7 = 25
  • A –> C –> F –> H –> J = 2 + 5 + 8 + 5 + 7 = 27
  • A –> C –> F –> I –> J = 2 + 5 + 8 + 4 + 7 = 26

The longest path in all the possible paths of the project network is A –> C –> F –> H –> J with the longest time. Therefore, the project duration is 27 days.

### Project Management: Network Diagram Analysis

Consider the following data for a project to install a new sewer at the Northland Pines High School:

#### Activity Data

| **Activity** | **Activity Time (days)** | **Immediate Predecessor(s)** |
|--------------|--------------------------|------------------------------|
| A            | 2                        | -                            |
| B            | 4                        | A                            |
| C            | 5                        | A                            |
| D            | 2                        | B                            |
| E            | 3                        | B, C                         |
| F            | 8                        | B, C                         |
| G            | 8                        | D, E, F                      |
| H            | 5                        | F                            |
| I            | 4                        | H                            |
| J            | 7                        | G, H, I                      |

#### Question:

a. Choose the correct network diagram below.

* Option A:
  - (Illustration of network diagram A)
  
* Option B:
  - (Illustration of network diagram B)

**Note:** Please use the provided data to determine the correct sequence and interdependencies of activities. Select either Option A or Option B based on your analysis.

This information and question form part of understanding the intricacies of project management, specifically the creation and analysis of network diagrams. These diagrams help visualize the sequence of project activities and their dependencies, which is crucial for effective project scheduling and management.
Transcribed Image Text:### Project Management: Network Diagram Analysis Consider the following data for a project to install a new sewer at the Northland Pines High School: #### Activity Data | **Activity** | **Activity Time (days)** | **Immediate Predecessor(s)** | |--------------|--------------------------|------------------------------| | A | 2 | - | | B | 4 | A | | C | 5 | A | | D | 2 | B | | E | 3 | B, C | | F | 8 | B, C | | G | 8 | D, E, F | | H | 5 | F | | I | 4 | H | | J | 7 | G, H, I | #### Question: a. Choose the correct network diagram below. * Option A: - (Illustration of network diagram A) * Option B: - (Illustration of network diagram B) **Note:** Please use the provided data to determine the correct sequence and interdependencies of activities. Select either Option A or Option B based on your analysis. This information and question form part of understanding the intricacies of project management, specifically the creation and analysis of network diagrams. These diagrams help visualize the sequence of project activities and their dependencies, which is crucial for effective project scheduling and management.
### How Much Slack is in Each of the Activities G, H, and I?

In project management, calculating the slack time for each activity is crucial to understand how much flexibility there is in the schedule without delaying the entire project.

The following table shows the activities (G, H, and I), their durations, whether they are on the critical path, and the slack time:

| **Activity** | **Activity Time (days)** | **On critical path?** | **Slack (days)** |
|--------------|--------------------------|-----------------------|------------------|
| G            | 3                        | [Dropdown]            | [Empty]          |
| H            | 5                        | [Dropdown]            | [Empty]          |
| I            | 4                        | [Dropdown]            | [Empty]          |

- **Activity G**: Takes 3 days to complete.
- **Activity H**: Takes 5 days to complete.
- **Activity I**: Takes 4 days to complete.

The column "On critical path?" indicates a dropdown menu where you would specify whether the activity is on the critical path. The critical path is the sequence of stages determining the minimum time needed for an operation. 

The column "Slack (days)" is where you would calculate and enter the slack time.

Slack (or float) is the amount of time that you can delay a task without delaying the project. It is calculated using the following formula:

\[ \text{Slack} = \text{Latest Start Time} - \text{Earliest Start Time} \]

Understanding and managing slack is crucial for ensuring project timelines are met and resources are optimally used. If an activity is on the critical path, its slack is zero because any delay in such an activity will directly delay the project completion.
Transcribed Image Text:### How Much Slack is in Each of the Activities G, H, and I? In project management, calculating the slack time for each activity is crucial to understand how much flexibility there is in the schedule without delaying the entire project. The following table shows the activities (G, H, and I), their durations, whether they are on the critical path, and the slack time: | **Activity** | **Activity Time (days)** | **On critical path?** | **Slack (days)** | |--------------|--------------------------|-----------------------|------------------| | G | 3 | [Dropdown] | [Empty] | | H | 5 | [Dropdown] | [Empty] | | I | 4 | [Dropdown] | [Empty] | - **Activity G**: Takes 3 days to complete. - **Activity H**: Takes 5 days to complete. - **Activity I**: Takes 4 days to complete. The column "On critical path?" indicates a dropdown menu where you would specify whether the activity is on the critical path. The critical path is the sequence of stages determining the minimum time needed for an operation. The column "Slack (days)" is where you would calculate and enter the slack time. Slack (or float) is the amount of time that you can delay a task without delaying the project. It is calculated using the following formula: \[ \text{Slack} = \text{Latest Start Time} - \text{Earliest Start Time} \] Understanding and managing slack is crucial for ensuring project timelines are met and resources are optimally used. If an activity is on the critical path, its slack is zero because any delay in such an activity will directly delay the project completion.
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