A cell-phone company advertises a popular phone plan. For $24.30, the user can have 1000 weekday minutes, 1000 weeknight minutes, and 1000 weekend minutes. Duane, Doreen, and Kaylee will divide the minutes using the divide-and-choose method for three players.
a. If Duane has no preference, and he values weekday, weeknight, and weekend minutes equally, then what monetary value would he place on each set of minutes? What value would he require in order to consider a share of minutes to be a fair share?
b. If Doreen’s weekday to weeknight to weekend ratio is 5 to 3 to 1, then what monetary value would she place on each set of minutes? What value would she require in order to consider a share of minutes to be a fair share?
c. If Kaylee’s weekday to weeknight to weekend ratio is 2 to 3 to 1, then what monetary value would she place on each set of minutes? What value would she require in order to consider a share of minutes to be a fair share?
d. Duane is the divider, and he creates the following three plans:
Plan I: 500 weekday minutes, 200 weeknight minutes, 300 weekend minutes
Plan II: 100 weekday minutes, 700 weeknight minutes, 200 weekend minutes
Plan III: 400 weekday minutes, 100 weeknight minutes, 500 weekend minutes
Determine the result of the divide-and-choose method for three players.
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