find the maximum flow from source to sink. Also find a cut whose capacity equals the maximum flow in the network.

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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find the
maximum flow from source to sink. Also find a cut whose
capacity equals the maximum flow in the network.

The image depicts a directed graph, which includes nodes and weighted edges connecting these nodes. Below is a detailed description of the graph structure:

### Nodes:
- **so**: Start node
- **1**: Intermediate node
- **2**: Intermediate node
- **3**: Intermediate node
- **4**: Intermediate node
- **si**: End node

### Edges and Weights:
- From **so** to **1** with a weight of 7
- From **so** to **2** with a weight of 3
- From **1** to **2** with a weight of 1
- From **1** to **3** with a weight of 6
- From **2** to **3** with a weight of 3
- From **2** to **4** with a weight of 8
- From **3** to **si** with a weight of 2
- From **4** to **si** with a weight of 8
- From **3** to **4** with a weight of 2

### Explanation:
This graph can be used to model a network where each node represents a state and each directed edge represents a transition with a specific cost or weight. This structure can be applied in various contexts, such as representing pathways in traffic networks, costs in logistics, or tasks in project management. The start node **so** signifies the beginning of the process, while **si** indicates the end. The weights on the edges can be interpreted as distances, times, or costs associated with moving from one node to another.
Transcribed Image Text:The image depicts a directed graph, which includes nodes and weighted edges connecting these nodes. Below is a detailed description of the graph structure: ### Nodes: - **so**: Start node - **1**: Intermediate node - **2**: Intermediate node - **3**: Intermediate node - **4**: Intermediate node - **si**: End node ### Edges and Weights: - From **so** to **1** with a weight of 7 - From **so** to **2** with a weight of 3 - From **1** to **2** with a weight of 1 - From **1** to **3** with a weight of 6 - From **2** to **3** with a weight of 3 - From **2** to **4** with a weight of 8 - From **3** to **si** with a weight of 2 - From **4** to **si** with a weight of 8 - From **3** to **4** with a weight of 2 ### Explanation: This graph can be used to model a network where each node represents a state and each directed edge represents a transition with a specific cost or weight. This structure can be applied in various contexts, such as representing pathways in traffic networks, costs in logistics, or tasks in project management. The start node **so** signifies the beginning of the process, while **si** indicates the end. The weights on the edges can be interpreted as distances, times, or costs associated with moving from one node to another.
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