Ben Cheery, the Sox general manager, wants to sign at least one free agent player for the

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Ben Cheery, the Sox general manager, wants to sign at least one free agent player for the coming baseball season. He is considering four players—Joe Aaron, Mike Bass, Carlos Cabrera, and Josh Donald. He is using three criteria including the player’s contract demands for salary and contract years, the player’s history of injuries, and the metric “wins above a replacement player”

called WAR that quantifies a player’s total contribution to his or her team. Following are his preferences for these criteria:

Criterion WAR Contract Injury History WAR 1 1/4 1/3 Contract 4 1 1/2 Injury History 3 2 1 Following are Ben’s pairwise comparisons of the players for the criteria:

WAR Player Aaron Bass Cabrera Donald Aaron 1 3 1/5 6 Bass 1/3 1 1/7 4 Cabrera 5 7 1 9 Donald 1/6 1/4 1/9 1 Contract Player Aaron Bass Cabrera Donald Aaron 1 1/2 1/4 1/5 Bass 2 1 1/2 1/3 Cabrera 4 2 1 2 Donald 5 3 1/2 1 Injury History Player Aaron Bass Cabrera Donald Aaron 1 1/6 4 3 Bass 6 1 6 4 Cabrera 1/4 1/6 1 1/3 Donald 1/3 1/4 3 1 Using AHP determine how Ben should rank the free agents. LO.1

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