9-43. Northwest University is in the process of complet- ing a computer bus network that will connect com- puter facilities throughout the university. The prime
objective is to string a main cable from one end of the campus to the other (nodes 1–25) through underground conduits. These conduits are shown in the network below; the distance between them is in hundreds of feet. Fortunately, these underground conduits have remaining capacity through which the bus cable can be placed. (a) Given the network for this problem, how long (in hundreds of feet) is the shortest route from node 1 to node 25? (b) In addition to the computer bus network, a new phone system is also being planned. The phone system would use the same underground conduits.
If the phone system were installed, the follow- ing paths along the conduit would be at capacity
and would not be available for the computer bus network: 6–11, 7–12, and 17–20. What changes (if any) would you have to make to the path used for the computer bus if the phone system were installed?
Transcribed Image Text:The image is a complex network diagram consisting of nodes and weighted edges. The nodes are numbered from 1 to 25, and the edges connecting the nodes have various weights. These weights are represented by numbers alongside each connecting line, potentially indicating the cost, distance, or time between nodes, depending on the context.
### Description of the Diagram:
- **Nodes**: These are depicted as blue circles, each with a unique identifier (numbers 1 through 25).
- **Edges**: Lines connecting the nodes, with a numerical weight associated with each edge.
### Edge Details:
- The edge between node 1 and node 2 has a weight of 10.
- The edge between node 1 and node 3 has a weight of 9.
- The edge between node 1 and node 4 has a weight of 10.
- The edge between node 1 and node 9 has a weight of 10.
- The edge between node 2 and node 5 has a weight of 15.
- The edge between node 3 and node 5 has a weight of 8.
- The edge between node 3 and node 6 has a weight of 7.
- The edge between node 4 and node 7 has a weight of 8.
- The edge between node 5 and node 8 has a weight of 8.
- The edge between node 6 and node 8 has a weight of 6.
- The edge between node 6 and node 11 has a weight of 11.
- The edge between node 7 and node 12 has a weight of 5.
- The edge between node 8 and node 12 has a weight of 8.
- The edge between node 8 and node 13 has a weight of 4.
- The edge between node 9 and node 14 has a weight of 9.
- The edge between node 11 and node 15 has a weight of 15.
- The edge between node 12 and node 15 has a weight of 8.
- The edge between node 12 and node 16 has a weight of 15.
- The edge between node 14 and node 19 has a weight of 18.
- The edge between node 15 and node 19 has a weight of 5.
- The edge between node 16 and node 20 has a weight of 6.
- The edge between node
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