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3. 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 Stroke Jayvee Jace Nikki Zion Gerald Backstroke 37.7 32.9 33.8 37 35.4 Breaststroke 43.4 33.1 42.2 34.7 41.8 Butterfly 33.3 28.5 38.9 30.4 33.6 Freestyle The coach wishes to determine how to assign four swimmers to the four different strokes to minimize he sum of the corresponding best times. a. Formulate this problem as an assignment problem by constructing the appropriate parameter 29.2 26.4 29.6 28.5 31.1

3. 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 Stroke Jayvee Jace Nikki Zion Gerald Backstroke 37.7 32.9 33.8 37 35.4 Breaststroke 43.4 33.1 42.2 34.7 41.8 Butterfly 33.3 28.5 38.9 30.4 33.6 Freestyle The coach wishes to determine how to assign four swimmers to the four different strokes to minimize he sum of the corresponding best times. a. Formulate this problem as an assignment problem by constructing the appropriate parameter 29.2 26.4 29.6 28.5 31.1

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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3. 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 Stroke Jayvee Jace Nikki Zion Gerald Backstroke 37.7 32.9 33.8 37 35.4 Breaststroke 43.4 33.1 42.2 34.7 41.8 Butterfly 33.3 28.5 38.9 30.4 33.6 Freestyle 29.2 26.4 29.6 28.5 31.1 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 by constructing the appropriate parameter table. b. Obtain an optimal solution.
Transcribed Image Text:3. 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 Stroke Jayvee Jace Nikki Zion Gerald Backstroke 37.7 32.9 33.8 37 35.4 Breaststroke 43.4 33.1 42.2 34.7 41.8 Butterfly 33.3 28.5 38.9 30.4 33.6 Freestyle 29.2 26.4 29.6 28.5 31.1 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 by constructing the appropriate parameter table. b. Obtain an optimal solution.
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