The coach of an age group swim team needs to assign swimmers to a 200-yard medley relay team to send to the Junior Olympics. Since most of his best swimmers are very fast in more than one stroke, it is not clear which swimmer should be assigned to each of the four strokes. The five fastest swimmers and the best times (in seconds) they have achieved in each of the strokes (for 50 yards) are

The coach wishes to determine how to assign four swimmers to the four different strokes to minimize the sum of the corresponding best times.
(a) Formulate this problem as an assignment problem.

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Stroke Carl 37.7 33.3 Chris David Tony Ken Backstroke Breaststroke 43 Butterfly Freestyle 32.9 33.1 28.5 26.4 33.8 42.2 38.9 29.6 37.0 34.7 30.4 28.5 35.4 41.8 33.6 31.1 29.2