The coach of a swim team needs to assign swimmers to a 200-yard medley relay team to compete in a tournament. The problem facing him is that his best swimmers are good in more than one stroke, so it is not clear which swimmer to assign to which stroke. The 5 fastest swimmers and the best times (in seconds) they have achieved with each of the strokes (for 50 yards) are given below carl chris david tony ken
backstroke 37.7 32.9 33.8 37.0 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
trying to minimize the problem
state the objective function and the conditionsd it is subject to
linear programming problem - please solve in matlab and include code if possible