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

Multiple Choice

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.