Problem

In Major League Baseball, a variation of the Borda count method is used to select the mos...

In Major League Baseball, a variation of the Borda count method is used to select the most valuable player (MVP). In this case, a tenth-place vote is worth 1 point, a ninth-place vote is worth 2 points, . . . , a second-place vote is worth 9 points, and a first-place vote is worth 14 points.

The top ten players in the American League in 2002 are listed in the preceding table along with the number of votes for MVP each player received for first through tenth places from the 28 voters.

a. What is the maximum number of points that a player can receive?

b. Find the modified Borda count total for each of the ten players.

c. Who is the winner under the modified Borda count method?

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