c): Formulate this assignment problem using LINGO'S modeling language. Define sets, such as strokes, swimmers, and assignments (stroke-swimmer pairs).The only data in the data section should be the square cost matrix.Verify the optimal solution by comparing it with the one obtained in.

d) use the Hungarian algorithm (make sure that the problem is balanced before you apply the Hungarian algorithm).

9.3-4.* 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