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Majority Criterion and Borda Method A group of teachers are planning a conference. They are members of Teachers for Tomorrow. They are coming from four different states. The choices for holding the conference are: • Atlanta (A), • Perdido (P), • Biloxi (B), and Panama City (C). Below are the results of the votes of all the teachers. • Use the Borda method to determine the location the teachers chose. • Determine if the Borda method violates the majority criterion. Number of Votes 45 47 50 50 First P A P A Second P A A C Third C P B Fourth B B B 1. How many votes are there? 2. What is needed to win a majority? 3. Assign the point values to each vote. Fill in the table using the Borda method. Number of 45 47 50 50 Votes First (4 pts) C P A Second (3 pts) A A C A Third (2 pts) B Fourth (1 pt) B B B C 4. Calculate the total points for each candidate. Show how you calculate each candidate's total points. Atlanta (A): Perdido (P): Biloxi (B): Panama City (C): 5. Who won the Borda method? 6. Did anyone win the majority? If so, how many votes did they receive? 7. Was the majority criterion violated? Explain why.

Majority Criterion and Borda Method A group of teachers are planning a conference. They are members of Teachers for Tomorrow. They are coming from four different states. The choices for holding the conference are: • Atlanta (A), • Perdido (P), • Biloxi (B), and Panama City (C). Below are the results of the votes of all the teachers. • Use the Borda method to determine the location the teachers chose. • Determine if the Borda method violates the majority criterion. Number of Votes 45 47 50 50 First P A P A Second P A A C Third C P B Fourth B B B 1. How many votes are there? 2. What is needed to win a majority? 3. Assign the point values to each vote. Fill in the table using the Borda method. Number of 45 47 50 50 Votes First (4 pts) C P A Second (3 pts) A A C A Third (2 pts) B Fourth (1 pt) B B B C 4. Calculate the total points for each candidate. Show how you calculate each candidate's total points. Atlanta (A): Perdido (P): Biloxi (B): Panama City (C): 5. Who won the Borda method? 6. Did anyone win the majority? If so, how many votes did they receive? 7. Was the majority criterion violated? Explain why.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Majority Criterion and Borda Method A group of teachers are planning a conference. They are members of Teachers for Tomorrow. They are coming from four different states. The choices for holding the conference are: • Atlanta (A), • Perdido (P), • Biloxi (B), and Panama City (C). Below are the results of the votes of all the teachers. • Use the Borda method to determine the location the teachers chose. • Determine if the Borda method violates the majority criterion. Number of Votes 45 47 50 50 First P A P Second P C A Third A C B Fourth B В C 1. How many votes are there? 2. What is needed to win a majority? 3. Assign the point values to each vote. Fill in the table using the Borda method. Number of 45 47 50 50 Votes First (4 pts) C P A Second (3 pts) A A A Third (2 pts) C P B Fourth (1 pt) B B B C 4. Calculate the total points for each candidate. Show how you calculate each candidate's total points. Atlanta (A): Perdido (P): Biloxi (B): Panama City (C): 5. Who won the Borda method? 6. Did anyone win the majority? If so, how many votes did they receive? 7. Was the majority criterion violated? Explain why. Write your response below:
Transcribed Image Text:Majority Criterion and Borda Method A group of teachers are planning a conference. They are members of Teachers for Tomorrow. They are coming from four different states. The choices for holding the conference are: • Atlanta (A), • Perdido (P), • Biloxi (B), and Panama City (C). Below are the results of the votes of all the teachers. • Use the Borda method to determine the location the teachers chose. • Determine if the Borda method violates the majority criterion. Number of Votes 45 47 50 50 First P A P Second P C A Third A C B Fourth B В C 1. How many votes are there? 2. What is needed to win a majority? 3. Assign the point values to each vote. Fill in the table using the Borda method. Number of 45 47 50 50 Votes First (4 pts) C P A Second (3 pts) A A A Third (2 pts) C P B Fourth (1 pt) B B B C 4. Calculate the total points for each candidate. Show how you calculate each candidate's total points. Atlanta (A): Perdido (P): Biloxi (B): Panama City (C): 5. Who won the Borda method? 6. Did anyone win the majority? If so, how many votes did they receive? 7. Was the majority criterion violated? Explain why. Write your response below:
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