The board has some discussions about the background of the companies, and they decide to take a second vote. This time 4 people that voted N, U, P changed their vote to U, N, P. 4. What does the chart look like now? Fill in the missing column. Number of Votes 8 10 First N Second Third P U U N 5. Use the plurality with elimination method to determine the winner. The company that gets eliminated is What does the chart look like now after the person gets removed? Fill in the new chart. Number of Votes First 8 10 Second 6. Who is the winner? 7. Is the monotonicity criterion violated? Explain why. Write your response below:

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Monotonicity Criterion and Plurality with Elimination
A school board is going to hire a company to paint 10 of their schools over the summer. The
three companies are:
• Paint by Numbers (N),
• Painter's Paradise (P), and
Paint by Us (U).
Below are the results of the first vote. Determine if the plurality with elimination method
violates the monotonicity criterion.
12
Number of Votes
First
Second
| Third
1. What is the majority needed to win the contract? 18
2. Use the plurality with elimination method to determine the winner.
The company that gets eliminated is Company P
10
4
N
P
N
U
P
U
U
N
U
N
P
What does the chart look like now? Fill in the chart below.
Number of Votes
8
10
4
12
First
N
U
N
U
Second
U
N
U
N
Transcribed Image Text:Monotonicity Criterion and Plurality with Elimination A school board is going to hire a company to paint 10 of their schools over the summer. The three companies are: • Paint by Numbers (N), • Painter's Paradise (P), and Paint by Us (U). Below are the results of the first vote. Determine if the plurality with elimination method violates the monotonicity criterion. 12 Number of Votes First Second | Third 1. What is the majority needed to win the contract? 18 2. Use the plurality with elimination method to determine the winner. The company that gets eliminated is Company P 10 4 N P N U P U U N U N P What does the chart look like now? Fill in the chart below. Number of Votes 8 10 4 12 First N U N U Second U N U N
The board has some discussions about the background of the companies, and they decide to
take a second vote. This time 4 people that voted N, U, P changed their vote to U, N, P.
4. What does the chart look like now? Fill in the missing column.
Number of Votes
8
10
First
P
Second
P
U
Third
U
5. Use the plurality with elimination method to determine the winner.
The company that gets eliminated is
What does the chart look like now after the person gets removed? Fill in the new chart.
Number of Votes
| First
Second
8
10
6. Who is the winner?
7. Is the monotonicity criterion violated? Explain why.
Write your response below:
Transcribed Image Text:The board has some discussions about the background of the companies, and they decide to take a second vote. This time 4 people that voted N, U, P changed their vote to U, N, P. 4. What does the chart look like now? Fill in the missing column. Number of Votes 8 10 First P Second P U Third U 5. Use the plurality with elimination method to determine the winner. The company that gets eliminated is What does the chart look like now after the person gets removed? Fill in the new chart. Number of Votes | First Second 8 10 6. Who is the winner? 7. Is the monotonicity criterion violated? Explain why. Write your response below:
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