Comedy Pasture A horse and two llamas are discussing the key areas of their domain on a lazy summer ...

Comedy Pasture
A horse and two llamas are discussing the key areas of their domain on a lazy summer afternoon. The llamas favor the pond and shade and like to browse the fruit trees and oaks on the property, making their way to the barn only when their owner favors them with some oats. The horse prefers to graze the grass and hay for food and drink from the pond but will race up to the barn when the owner is handing out oats up there. Between the three of them, they have stepped off the distances between many of these key points several times and believe that they have developed an accurate map, shown below. As incredible as it may seem, neither the horse nor the llamas have had any training in management science, which is where you come in.




The llamas are interested in developing a series of llama-only paths among their points of interest. As they have a limited budget, they'd prefer to develop those paths using a minimum quantity of materials and labor. Which of the point to point paths should be used and what is the total path distance?