Grey Construction would like to determine the least expensive way of connecting houses it is building with cable TV. It has identified 11 possible branches or routes that could be used to connect the houses. The cost in hundreds of dollars and the branches are summarized in the following table. (b) After reviewing cable and installation costs, Grey Construction would like to alter the costs for installing cable TV between its houses. The first branches need to be changed. The changes are summarized in the following table. What is the impact on total costs?

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9-39. Grey Construction would like to determine the least
expensive way of connecting houses it is building
with cable TV. It has identified 11 possible branches
or routes that could be used to connect the houses.
The cost in hundreds of dollars and the branches are
summarized in the following table.

(b) After reviewing cable and installation costs,
Grey Construction would like to alter the costs
for installing cable TV between its houses.
The first branches need to be changed. The
changes are summarized in the following
table. What is the impact on total costs?

 

The table provides information about various branches, each defined by a starting node, an ending node, and an associated cost. This data is likely relevant for studies involving networks or graph theory, possibly focusing on the costs of traversing different paths.

### Table Description

- **Columns:**
  - **Branch**: Enumerates the branches from 1 to 11.
  - **Start Node**: Indicates the initial node of the branch.
  - **End Node**: Indicates the terminal node of the branch.
  - **Cost ($100s)**: Represents the cost associated with each branch in hundreds of dollars.

- **Data:**
  - **Branch 1**: Connects node 1 to node 2 with a cost of $500.
  - **Branch 2**: Connects node 1 to node 3 with a cost of $100.
  - **Branch 3**: Connects node 1 to node 4 with a cost of $1000.
  - **Branch 4**: Connects node 1 to node 5 with a cost of $100.
  - **Branch 5**: Connects node 2 to node 6 with a cost of $700.
  - **Branch 6**: Connects node 3 to node 7 with a cost of $500.
  - **Branch 7**: Connects node 4 to node 7 with a cost of $700.
  - **Branch 8**: Connects node 5 to node 8 with a cost of $500.
  - **Branch 9**: Connects node 6 to node 7 with a cost of $100.
  - **Branch 10**: Connects node 7 to node 9 with a cost of $600.
  - **Branch 11**: Connects node 8 to node 9 with a cost of $200.

This table can be used to analyze paths, minimize costs, or optimize routes within a network.
Transcribed Image Text:The table provides information about various branches, each defined by a starting node, an ending node, and an associated cost. This data is likely relevant for studies involving networks or graph theory, possibly focusing on the costs of traversing different paths. ### Table Description - **Columns:** - **Branch**: Enumerates the branches from 1 to 11. - **Start Node**: Indicates the initial node of the branch. - **End Node**: Indicates the terminal node of the branch. - **Cost ($100s)**: Represents the cost associated with each branch in hundreds of dollars. - **Data:** - **Branch 1**: Connects node 1 to node 2 with a cost of $500. - **Branch 2**: Connects node 1 to node 3 with a cost of $100. - **Branch 3**: Connects node 1 to node 4 with a cost of $1000. - **Branch 4**: Connects node 1 to node 5 with a cost of $100. - **Branch 5**: Connects node 2 to node 6 with a cost of $700. - **Branch 6**: Connects node 3 to node 7 with a cost of $500. - **Branch 7**: Connects node 4 to node 7 with a cost of $700. - **Branch 8**: Connects node 5 to node 8 with a cost of $500. - **Branch 9**: Connects node 6 to node 7 with a cost of $100. - **Branch 10**: Connects node 7 to node 9 with a cost of $600. - **Branch 11**: Connects node 8 to node 9 with a cost of $200. This table can be used to analyze paths, minimize costs, or optimize routes within a network.
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