Question
E-mail messages sent over the Internet are broken up into electronic packets that may take a variety of different paths to reach their destination where
E-mail messages sent over the Internet are broken up into electronic packets that may take a variety of different paths to reach their destination where the original message is reassembled. Suppose there are 12 hubs in your companys computer Intranet. The numbers in the chart below represent the number (in millions) of packets one hub (column on the left) can send to another hub (row on the top). What is the maximum number of packets (in millions) that can flow from node 1 to node 12, taking any path to get there? (Hint: Notice the ? from 12 to 1. To what should you set that?)
Site | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
1 | 0 | 11 | 8 | 8 | 8 | 11 | 2 | 11 | 2 | 0 | 12 | 5 |
2 | 8 | 0 | 8 | 11 | 8 | 2 | 0 | 0 | 0 | 2 | 0 | 0 |
3 | 11 | 11 | 0 | 11 | 5 | 8 | 0 | 8 | 2 | 5 | 0 | 0 |
4 | 8 | 11 | 8 | 0 | 11 | 5 | 5 | 2 | 0 | 0 | 8 | 0 |
5 | 0 | 11 | 8 | 11 | 0 | 8 | 8 | 2 | 2 | 5 | 0 | 5 |
6 | 11 | 5 | 11 | 11 | 11 | 0 | 8 | 8 | 11 | 5 | 11 | 5 |
7 | 0 | 0 | 5 | 11 | 8 | 11 | 0 | 11 | 5 | 8 | 8 | 0 |
8 | 8 | 0 | 5 | 2 | 11 | 8 | 8 | 0 | 8 | 5 | 2 | 0 |
9 | 8 | 5 | 0 | 5 | 8 | 11 | 8 | 8 | 0 | 11 | 5 | 2 |
10 | 0 | 0 | 0 | 11 | 8 | 2 | 8 | 8 | 8 | 0 | 11 | 11 |
11 | 11 | 5 | 2 | 11 | 0 | 0 | 11 | 5 | 5 | 8 | 0 | 8 |
12 | ? | 0 | 5 | 2 | 0 | 2 | 5 | 5 | 11 | 5 | 11 | 0 |
Please solve this problem using Excel Solver and show all formulas.
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