Five friends {Alice, Bob, Cathy, Dave, and Earl} have decided to divide up a multi-flavored cake which was jointly purchased for $30 using the Lone-Divider Method. The cake is divided into five pieces {s1 2 3 4 5 , , , , and s s s s } . The following table gives the dollar value of each of the slices according to each of the five friends Which of the five slices are considered fair shares according to Bob? -According to the scenario above , which of the following would be a fair division? A) Alice : s₄ ; Bob : s₃ ; Cathy : s₂ ; Dave : s₁ ; Earl : s₅ B) Alice : s₁ ; Bob : s₃ ; Cathy : s₂ ; Dave : s₅ ; Earl : s₄ C) Alice : s₄ ; Bob : s₃ ; Cathy : s₁ ; Dave : s₅ ; Earl : s₂ D) Alice : s₂ ; Bob : s₃ ; Cathy : s₄ ; Dave : s₅ ; Earl : s₁ E) None of the above.

Question

Quizplus · Accepted Answer

The Answer of Five friends {Alice, Bob, Cathy, Dave, and Earl} have decided to divide up a multi-flavored cake which was jointly purchased for $30 using the Lone-Divider Method. The cake is divided into five pieces {s1 2 3 4 5 , , , , and s s s s } . The following table gives the dollar value of each of the slices according to each of the five friends Which of the five slices are considered fair shares according to Bob? -According to the scenario above , which of the following would be a fair division? A) Alice : s₄ ; Bob : s₃ ; Cathy : s₂ ; Dave : s₁ ; Earl : s₅ B) Alice : s₁ ; Bob : s₃ ; Cathy : s₂ ; Dave : s₅ ; Earl : s₄ C) Alice : s₄ ; Bob : s₃ ; Cathy : s₁ ; Dave : s₅ ; Earl : s₂ D) Alice : s₂ ; Bob : s₃ ; Cathy : s₄ ; Dave : s₅ ; Earl : s₁ E) None of the above.

Five Friends {Alice, Bob, Cathy, Dave, and Earl} Have Decided