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Major League Baseball uses 5-3-1 voting to select the most valuable player (MVP) in each league. Each voter gets to vote for three different players

Major League Baseball uses "5-3-1 voting" to select the most valuable player (MVP) in each league. Each voter gets to vote for three different players they consider worthy of the award and their first-choice candidate gets 5 points, their second-choice candidate gets 3 points, and their third-choice candidate gets 1 point. Points are then added up across all voters, and the player with the most total points wins the award.

Suppose there are three voters (Neyer, Law, and Phillips) and five MVP candidates (Alex, David, Raffy, Manny, and Mario). The following table shows how each voter ranks the candidates:

Rank Neyer Law Phillips
Best David David Raffy
Second Best Alex Alex Alex
Third Best Raffy Raffy Manny
Fourth Best Manny Manny Mario
Fifth Best Mario Mario David

In addition, candidate Raffy is embroiled in a substance abuse scandal. A verdict on his guilt or innocence will be made public one day before voting for MVP. If Raffy is found guilty, he becomes ineligible for MVP and voters then choose between the remaining four candidates.

(a) Who will win the MVP if Raffy is found innocent?

(b) Who will win the MVP if Raffy is found guilty?

(c) Is "3-5-1 voting" a consistent voting system? If yes, show that it satisfies all three conditions. If no, show which condition is violated.

please let me know if any clarification needed. Thanks in advance

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