Using the network shown and the activity durations shown in the table below, what is the overall duration? The image represents a directed graph with nodes and edges, commonly used in computer science and mathematics to illustrate relationships or processes.### Graph Explanation- **Nodes** - The graph contains seven nodes labeled from 0 to 6. - Node 0 is the starting point, while node 6 is the endpoint.- **Edges** - The directed edges (arrows) connect the nodes and are labeled with letters A to H, each representing a transition or path. - The following connections are present: - **A:** from node 0 to node 1 - **B:** from node 1 to node 2 - **D:** from node 1 to node 3 - **E:** from node 3 to node 5 - **F:** from node 3 to node 4 - **G:** from node 4 to node 5 - **H:** from node 5 to node 6- **Graph Structure** - The graph is structured with both linear and branching paths, allowing multiple routes from the starting node to the endpoint. - Dashed edges represent optional or conditional paths (e.g., an alternative path from node 2).This directed graph can be used to model various scenarios, such as workflows, state machines, or network routing. It demonstrates the flow from one state to another and highlights the possible paths for reaching different states or completing processes. ### Activity Duration TableThis table provides information about various activities and their corresponding durations. It is organized into two columns: "Activity" and "Duration."#### Details:- **Activity A**: Duration is 2 units.- **Activity B**: Duration is 4 units.- **Activity D**: Duration is 1 unit.- **Activity E**: Duration is 5 units.- **Activity F**: Duration is 4 units.- **Activity G**: Duration is 1 unit.- **Activity H**: Duration is 3 units.This table can be useful for project planning, time management, or resource allocation activities, where understanding the time required for each task is essential.

Given data: Activity Duration A 2 B 4 D 1 E 5 F 4 G 1 H 3

Answered: 3 LL 4 H 6

Business

Operations Management

3 LL 4 H 6

Practical Management Science

6th Edition

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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A: Formula:

Question

Using the network shown and the activity durations shown in the table below, what is
the overall duration?

The image represents a directed graph with nodes and edges, commonly used in computer science and mathematics to illustrate relationships or processes.

### Graph Explanation

- **Nodes**
- The graph contains seven nodes labeled from 0 to 6.
- Node 0 is the starting point, while node 6 is the endpoint.

- **Edges**
- The directed edges (arrows) connect the nodes and are labeled with letters A to H, each representing a transition or path.
- The following connections are present:
- **A:** from node 0 to node 1
- **B:** from node 1 to node 2
- **D:** from node 1 to node 3
- **E:** from node 3 to node 5
- **F:** from node 3 to node 4
- **G:** from node 4 to node 5
- **H:** from node 5 to node 6

- **Graph Structure**
- The graph is structured with both linear and branching paths, allowing multiple routes from the starting node to the endpoint.
- Dashed edges represent optional or conditional paths (e.g., an alternative path from node 2).

This directed graph can be used to model various scenarios, such as workflows, state machines, or network routing. It demonstrates the flow from one state to another and highlights the possible paths for reaching different states or completing processes.

### Activity Duration Table

This table provides information about various activities and their corresponding durations. It is organized into two columns: "Activity" and "Duration."

#### Details:

- **Activity A**: Duration is 2 units.
- **Activity B**: Duration is 4 units.
- **Activity D**: Duration is 1 unit.
- **Activity E**: Duration is 5 units.
- **Activity F**: Duration is 4 units.
- **Activity G**: Duration is 1 unit.
- **Activity H**: Duration is 3 units.

This table can be useful for project planning, time management, or resource allocation activities, where understanding the time required for each task is essential.

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