# Solved > MULTIPLE CHOICE. Choose the one alternative that best:2152049 …

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Make a preference table for the given voting situation.

1) Eight voters are asked to rank 3 brands of automobiles: A, B, and C. The eight voters turn in the following ballots showing their preferences in order:

Make a preference table for these ballots.

A)

B)

C)

D)

2) Eight voters are asked to rank 4 brands of ice cream: A, B, C, and D. The eight voters turn in the following ballots showing their preferences in order:

Make a preference table for these ballots.

A)

B)

C)

D)

3) Ten voters are asked to rank 3 brands of shoes: A, B, and C. The ten voters turn in the following ballots showing their preferences in order:

Make a preference table for these ballots.

A)

B)

C)

D)

4) Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order:

Make a preference table for these ballots.

A)

B)

C)

D)

Solve the problem.

5) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

Determine the winner using the plurality method and if the winner received a majority of first place votes.

A) Smith; Yes

B) Clark; No

C) Clark; Yes

D) Jones; No

6) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table.

Determine the winner using the plurality method and if the winner received a majority of first place votes.

A) Hawaii; Yes

C) Hawaii; No

7) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott(A), Blake (B), Cleary (C), and Downs (D).

Determine the winner using the plurality method and if the winner received a majority of first place votes.

A) Cleary; Yes

B) Abbott; No

C) Abbott; Yes

D) Cleary; No

8) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

Determine the winner using the Borda count method and if the winner received a majority of first place votes.

A) Smith; No

B) Jones; Yes

C) Smith; Yes

D) Jones; No

9) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table.

Determine the winner using the Borda count method and if the winner received a majority of first place votes.

A) Hawaii; No

B) San Antonio; No

C) Florida; No

10) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott(A), Blake (B), Cleary (C), and Downs (D).

Determine the winner using the Borda count method and if the winner received a majority of first place votes.

A) Blake; No

B) Abbott; No

C) Cleary; No

D) Downs; No

11) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

Determine the winner using the plurality with elimination method and if the winner received a majority of first place votes.

A) Smith, Yes

B) Smith; No

C) Jones; No

D) Jones; Yes

12) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table.

Determine the winner using the plurality with elimination method and if the winner received a majority of first place votes.

B) Hawaii; Yes

D) Hawaii; No

13) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

Determine the winner using the pairwise comparison method and if the winner received a majority of first place votes.

A) Jones; Yes

B) Smith; No

C) Jones; No

D) Smith; Yes

14) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table.

Determine the winner using the pairwise comparison method.

C) Florida & Hawaii (tie)

15) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

If the Borda count method is used to determine the winner, is the majority criterion satisfied?

A) Yes

B) No

16) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table:

If the Borda count method is used to determine the winner, is the majority criterion satisfied?

A) Yes

B) No

17) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

If the plurality method is used to determine the winner, is the head-to-head criterion satisfied?

A) Yes

B) No

18) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

If the Borda count method is used to determine the winner, is the head-to-head criterion satisfied?

A) Yes

B) No

19) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table:

If the plurality with elimination method is used to determine the winner, is the head-to-head criterion satisfied?

A) Yes

B) No

20) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

A second election is then held resulting in the following preference table:

If the plurality with elimination method is used to determine the winner, is the montonicity criterion satisfied?

A) Yes

B) No

21) Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table:

If the four voters who voted F, S, H, A, in that order, change their votes to H, S, A, F, and if the plurality with elimination method is used to determine the winner, is the monotonicity criterion satisfied?

A) Yes

B) No

22) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

If the plurality method is used to determine the winner and Clark drops out, is the irrelevant alternatives criterion satisfied?

A) Yes

B) No

23) The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

If the Borda count method is used to determine the winner and Clark drops out, is the irrelevant alternatives criterion satisfied?

A) Yes

B) No

24) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D).

If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?

A) Yes

B) No

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