4. The homeowners association is deciding a new set of neighborhood standards for architecture, yard maintenance, etc. Four options have been proposed. The votes are: The preference schedule for the election is: 8 9 11 7 Number of Voters 1st 2nd 3rd 4th B D C B A C с D B A A D A ABD C 7 5 B C A D C A D B a. How many voters voted in this election? b. How many votes are needed for a majority? A plurality? c. Find the winner under the plurality method. d. Find the winner under the Borda Count Method. e. Find the winner under the Instant Runoff Voting method. f. Find the winner under Copeland's method.

Let AABC be a triangle. Fix the points X, Y, and Z on AB, AC, and BC, respectively (as in the figure) such that BX = - = CZ AY = 4. Assume that the area of AXYZ is one and calculate the area of AABC. ХА YC ZB

b. a = Vx-36, b = 6