1. formulate but do not solve .

For Problem Formulate, but do not solve! Dean Castello is in the process of assigning members of his Business faculty to three- person teams to work four recruiting events during the coming months. He has decided that, with 4 scheduled recruiting events and 9 faculty members, each faculty member should work at least one but no faculty member should be asked to work more than two of the events. Dean Castello decided to give Dr. Cook a pass this year (since he is still new.) Because the events are scheduled for early evenings, he would also like, as much as is possible, to send faculty to sites that are generally nearer their homes. The table below lists the distance in miles from each recruiting site to each faculty member's home. Site 1 30 Site 2 16 Site 3 27 32 Site 4 17 28 20 12 12 22 45 25 36 40 12 29 Brock Cuffe Harlow Hayes Kumar Lail Schwartz Stowe Watkins 27 13 33 20 8 24 25 18 48 36 4 20 40 14 30 10 8 15 45 40 Formulate a Linear Program to select 4 three-person teams to attend recruiting events at these sites in such a way as to minimize the total distance traveled by the faculty members on their way home