1. the objective function (only include the first 2 entries, and the last two entries)

2. the basic constraint for Kevin

3. the basic constraint for the freestyle

With the Summer Olympics scheduled to be held this year (hopefully!), those in charge of choosing teams for the various athletic teams (swimming, gymnastics, track and field, etc.) in which their countries will be competing must first need to decide which athletes that they will be sending to compete in Japan. Once the athletes are chosen, the next decisions that must be made involve selecting which specific athletes will be chosen to complete in specific events, especially the team events such as the swimming relays. Suppose that the coaches in change of the swimming events for Canada need to select which of the four swimmers that they will select to compete in the 4 by 400 metre men's relay. Canada only has 6 swimmers that are good enough to compete in one or more of the four strokes (backstroke, breaststroke, butterfly and free style) that make up this relay. The job of these coaches is to decide which of the 4 swimmers they will choose and who they will choose to compete in which stroke. The coaches have decided to choose which swimmer to compete in each particular stroke based on each swimmer's average time in each of his last 5 times in these particular strokes. The following table lists these average times for each swimmer in each of these strokes. Times in minutes: Stoke. Swimmer breaststroke butterfly freestyle George 4.76 5.25 4.15 3.85. Tyler 4.52 5.05 4.35 3.98 Ahmed 4.37 5.13 4.45 4.07 John 4.62 5.21 4.53 3.99 Gustov 4.38 5.17 4.58 4.12. Kevin 5.03 5.01 4.53 4.01. backstroke . Using is as was used in our discussion in the classroom and in our examples, formulate the following to enable the coaches to choose who should compete in each event based on the above average times