Tigers Sports Club has to select four separate co-ed doubles teams to participate in an inter-club table tennis tourna-ment. The pre-selection results in the selection of a group of four men—Raul, Jack, Gray, and Ajay—and four women—Barbara,Dona, Stella, and Jackie. Now, the task ahead lies in pairing thesemen and women in the best fashion. The table below shows amatrix that has been designed for this purpose, indicating howeach of the men complements the game of each of the women.A higher score indicates a higher degree of compatibility in thegames of the two individuals concerned. Find the best pairs.Game Compatibility MatrixBARBARA DONA STELLA JACKIERaul 30 20 10 40Jack 70 10 60 70Gray 40 20 50 40Ajay 60 70 30 90

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Tigers Sports Club has to select four separate co-ed

doubles teams to participate in an inter-club table tennis tourna-
ment. The pre-selection results in the selection of a group of four

men—Raul, Jack, Gray, and Ajay—and four women—Barbara,
Dona, Stella, and Jackie. Now, the task ahead lies in pairing these
men and women in the best fashion. The table below shows a
matrix that has been designed for this purpose, indicating how
each of the men complements the game of each of the women.
A higher score indicates a higher degree of compatibility in the
games of the two individuals concerned. Find the best pairs.
Game Compatibility Matrix
BARBARA DONA STELLA JACKIE
Raul 30 20 10 40
Jack 70 10 60 70
Gray 40 20 50 40
Ajay 60 70 30 90

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