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.
![](data:image/png;base64, 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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?