(Solved by Humans)-A group of students were asked to vote on their favorite horror
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?A group of students were asked to vote on their favorite horror films. The candidate films are: ?Abraham Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The following table gives the preference schedule for the election.
Attached sheet. Please write out the answers if possible.
G180 Module 05 Assignment
1. A group of students were asked to vote on their favorite horror films. The candidate films are:
Abraham Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The
following table gives the preference schedule for the election.
Use the pairwise-comparisons method to find the winner of the election.
2.Three players (April, Brandy and Cindy) are sharing a cake. Suppose that the cake is divided into three
slices (s1, s2, s3). The following table gives the value of each slice in the eyes of each of the players. (A fair
share would be 1/3 = .333 = 33.3% or greater.)
April
Brandy
Cindy
s1
$4.50
$5.50
$5.60
s2
$5.50
$5.25
$5.00
s3
$5.00
$5.00
$5.00
a) Which of the three slices are fair shares to April?
b) Which of the three slices are fair shares to Brandy?
c) Which of the three slices are fair shares to Cindy?
d) Find a fair division of cake using S1, S2, and S3 as fair shares. If this is not possible, explain why not.
3. Three players (Adam, Bob and Chad) are sharing a cake. Suppose that the cake is divided into three
slices (s1, s2, s3). The percentages represent the value of the slice as a percent of the value of the entire
cake. (A fair share would be 1/3 = .333 = 33.3% or greater.)
Adam
Bob
Chad
s1
30%
32%
30%
s2
50%
36%
35%
s3
20%
32%
35%
a. Which of the three slices are fair shares to Adam?
b. Which of the three slices are fair shares to Bob?
c. Which of the three slices are fair shares to Chad?
d. Find the fair division of the cake, using s 1, s2 and s3 as fair shares. If this is not possible, explain why
not.
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This question was answered on: 10 May, 2025
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