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3. The Math Society is holding its annual election for president. Ten percent of the voters like B the most and C the least. Twenty-five

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3. The Math Society is holding its annual election for president. Ten percent of the voters like B the most and C the least. Twenty-five percent of the voters like A the most and B the least. Of the remaining, 3000 prefer C to B and B to A, and 3175 prefer C to A and A to B. Write out the preference schedule for this election. What was the total number of voters? (6 points) Percentage Number of Voters 1st place and place 3rd place TOTAL NUMBER OF VOTERS: 4. A department in a company is voting on locations to host their next training event. Use the preference schedule provided to determine the ranking of the alternatives using the Borda-Count method. Does this method satisfy or violate the Condorcet criterion? Does the method satisfy or violate the IIA criterion? Does the method satisfy or justify the monotonicity crition? Justify your answer. (6 points) 34 15 5 A C 9 B B B A C A A C B

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