Question 8 a) 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 time (in seconds) they have achieved in each of the stroke (for 50 yards) are: Stroke 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 The coach wishes to determine how to assign four swimmers to the four different stroke to minimize the sum of the corresponding best time. Formulate this problem as an assignment problem. b) Find the saddle point for the game having the following payoff table