Three people must share weekday, weeknight, and weekend time on a computer and decide to divide the time fairly using the divide-and-choose method for three players. Arnel will be the divider; Paula and Marc will be the choosers. Arnel divides the time into three plans: plan A, plan B, and plan C.
a. Suppose that Paula thinks plan A and plan C are acceptable, while Marc thinks only plan A is acceptable. Describe a fair division of the time among Arnel, Paula, and Marc.
b. Suppose that Paula thinks plan B is acceptable, while Marc thinks plan C is acceptable. Describe a fair division of the time among Arnel, Paula, and Marc.
c. Suppose that Paula and Marc both think plan B is the only acceptable plan. Describe how the players could create a fair division of the time among Arnel, Paula, and Marc.
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