Use the fact that the continuous envy-free division method requires a chooser to trim the largest piece to match the value of the second-largest piece.
Three drinks will be mixed using 27 ounces of fruit juice and 12 ounces of club soda. Serving I will contain 8 ounces of juice and 6 ounces of soda. Serving II will contain 9 ounces of juice and 4 ounces of soda. Serving III will contain 10 ounces of juice and 2 ounces of soda. You prefer juice to soda in a 2-to-3 ratio.
a. Calculate the point value of each of the servings and identify the serving with the greatest value and the serving with the second-greatest value.
b. Describe two ways in which the serving with the largest value could be trimmed to match the value of the second-most-valuable serving.
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