Three beachcombers collect shells and other items from the beach each morning to sell in their shops. They decide that it would be fair to divide the beach into three regions so that they each hunt in their own areas. The beach from which they collect is made up of 600 linear feet of sandy beach, 600 linear feet of rocky beach, and 600 linear feet of grassy beach.
a. Sondra finds things to sell in each of the three areas, so she values each area equally. How many points might she assign to each foot of sandy beach, rocky beach, and grassy beach? Based on this system, what is the total value Sondra would place on the entire beach, and what would be her fair-share requirement?
b. Lanie values the shells he finds on the sandy beach more than anything else, and his sandy beach to rocky beach to grassy beach preference ratio is 2 to 1 to 1. How many points might he assign to each foot of sandy beach, rocky beach, and grassy beach? Based on this system, what is the total value Lanie would place on the entire beach, and what would be his fair-share requirement?
c. Elsa values sandy beach to rocky beach to grassy beach in a 1-to-3-to-2 preference ratio. How many points might she assign to each foot of sandy beach, rocky beach, and grassy beach? Based on this system, what is the total value Elsa would place on the entire beach, and what would be her fair-share requirement?
d. If Sondra is the divider and decides that each person should have a beach to him-self or herself, determine the result of the divide-and-choose method for three players.
e. If Lanie is the divider and decides on the following options, then determine the result of the divide- and-choose method for three players.
Option I: 100 feet of sandy beach, 300 feet of rocky beach, 300 feet of grassy beach
Option II: 250 feet of sandy beach, 100 feet of rocky beach, 200 feet of grassy beach
Option III: 250 feet of sandy beach, 200 feet of rocky beach, 100 feet of grassy beach
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