In rural west Michigan, 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...

In rural west Michigan, there are six farms (numbered 1 – 6) connected by small roads. The distances in miles between the farms are given in the following table.

Requirements:

1. Determine the minimum distance required to get from farm 1 to farm 6.


2. The farmers decided to install cable for television and Internet connections. Determine the minimum amount of cable required to connect all 6 farms.


3. A seventh farmer wants to join the group of six farmers. The distance of this farm is 8 miles from farm 4, 9 miles from farm 5, and 5 miles from farm 6. Determine the minimum amount of cable required to connect all 7 farms.


4. Discuss the impact of the 7th farmer joining and recommend a strategy for the group of farmers.