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MAT 142 Problem Solving NAME: PSU8A: Voting The homeowners association is deciding a new set of neighborhood standards for architecture, yard maintenance, etc. Four options have been proposed, A, B, C, or D. The votes for each are shown in the table: Number of 1. How many voters voted in this election? 8 9 13 7 7 15 voters 1st choice BADABC 2. How many votes are needed for a majority? 2nd choice CDB BAD 3rd choice ACCDCA 4th choice D BACDB 3. a. Find the percent of first-choice votes for each option: A : B: C: D: b. Using the plurality method, which option wins? Did it have a majority? 4. Apply the Borda Count Method to determine the winner. Include your calculations and results. Option Computation and Total Points A B C D Winner: 5. Apply the Instant Runoff Voting method to determine the winner. Include your calculations and results. Number of voters 8 9 13 7 7 15 Eliminate Results: 1st choice BADABC 2nd choice CDB BAD 3rd choice ACCD CA Eliminate Results: 4th choice DB AC DB Winner: 6. Apply Copeland's (Pairwise Comparison) method to determine the winner. Include your calculations and results. Number of voters 8 9 13 7 7 15 Points 1st choice BADABC A 2nd choice CDB BAD B ACCDCA C 3rd choice D 4th choice DBAC DB Winner: 7. Did the winner change under the different vote counts? If so, which fairness criteria are not met