help me answer all the questions

7. a. Explain what the Monotonicity Criterion states. b. Consider an election between Smith, Roberts and Yopp. The preference table is given below. The winner using the plurality-with-elimination method is Roberts. Show work to verify this. Number of voters 14 1 20 26 22 NY 1 141 901 96 921 1 st Choice S S R 8 R R 2ND Choice R S R R 8 3rd Choice R Y S R lis the winner using planality with elimination method. c. Now suppose the first election was declared invalid due to suspicion of voting machine error, When a second election was held, everyone voted the same, except the 14 voters in the first column decided to change their vote to favor Roberts (the winner of the original election using plurality-with-elimination method). They changed their ballot to R, S, and then Y. Did the reelection violate the Monotonicity Criterion? Why or why not? Explain clearly by showing work and stating your answer in complete sentences. 8. a. Explain what the Independence-of-Irrelevant-Alternatives Criterion requires