This is what assignment is but I will it on a spreadsheet for easier reading:

For this module’s assignment review the following.

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.How many students voted? How many first place votes are needed for a majority?Use the plurality method to find the winner of the election.Use the Borda count method to find the winner of the election.Use the plurality-with-elimination method to find the winner of the election.Use the pairwise-comparisons method to find the winner of the election.

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 = 0.333 = 33.3% or greater.)

hree 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 = 0.333 = 33.3% or greater.) For this module’s assignment review the following.

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.

Number of Voters

1st Choice

2nd Choice

3rd Choice

4th Choice

1. How many students voted? How many first place votes are needed for a majority?

2. Use the plurality method to find the winner of the election.

3. Use the Borda count method to find the winner of the election.

4. Use the plurality-with-elimination method to find the winner of the election.

5. Use the pairwise-comparisons method to find the winner of the election.

6. 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 = 0.333 = 33.3% or greater.)

April

Brandy

Cindy

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.

Adam

Bob

Chad

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 s1, s2 and s3 as fair shares. If this is not possible, explain why not.

10

A

C

B

D

7

D

B

A

C

5

B

C

A

D

S1

$4.50

$5.50

$5.60

S2

$5.50

$5.25

$5.00

S3

$5.00

$5.00

$5.00

S1

30%

32%

30%

S2

50%

36%

35%

S2

20%

32%

35%

5

C

D

A

B

4

B

C

D

A