In rural west Texas, there are six farms (numbered 1 – 6) connected by small roads. The distances in miles between the farms are given in the following table. From Farm To Farm Distance 1 2 8 1 3 10 2 3 4 2 4 9 2 5 5 3 4 6 3 5 2 4 5 3 4 6 6 5 6 5 REQUIREMENTS: What is the minimum distance required to get from farm 1 to farm 6? A seventh farmer wants to join the group of six in Problem above. The distance of this farm is 8 miles from farm 4, 9 miles from farm 5, and 5 miles from farm 6. What is the minimum amount of cable required to connect all 7 farms?
In rural west Texas, there are six farms (numbered 1 – 6) connected by small roads. The distances in miles between the farms are given in the following table. From Farm To Farm Distance 1 2 8 1 3 10 2 3 4 2 4 9 2 5 5 3 4 6 3 5 2 4 5 3 4 6 6 5 6 5 REQUIREMENTS: What is the minimum distance required to get from farm 1 to farm 6? A seventh farmer wants to join the group of six in Problem above. The distance of this farm is 8 miles from farm 4, 9 miles from farm 5, and 5 miles from farm 6. What is the minimum amount of cable required to connect all 7 farms?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 45P
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Question
In rural west Texas, there are six farms (numbered 1 – 6) connected by small roads. The distances in miles between the farms are given in the following table.
From Farm |
To Farm |
Distance |
1 |
2 |
8 |
1 |
3 |
10 |
2 |
3 |
4 |
2 |
4 |
9 |
2 |
5 |
5 |
3 |
4 |
6 |
3 |
5 |
2 |
4 |
5 |
3 |
4 |
6 |
6 |
5 |
6 |
5 |
REQUIREMENTS:
- What is the minimum distance required to get from farm 1 to farm 6?
- A seventh farmer wants to join the group of six in Problem above. The distance of this farm is 8 miles from farm 4, 9 miles from farm 5, and 5 miles from farm 6. What is the minimum amount of cable required to connect all 7 farms?
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