Spider's Sports Bar is updating all its televisions to better serve its customers. It is considering the purchase of both 100-inch LCDs costing $5000 to place on large walls and smaller 32-inch flat screens costing $750 to hang from the ceiling. They want to purchase at least two 100- inch TVs so that almost everyone in the bar can view a game on them, but they also want to purchase at least eight smaller TVs so that different games can be shown. It is important to the owners that everyone in the bar can view at least two TVs; if customers cannot see a 100-inch TV optimally from their position, then they need to see three TVs. To help obtain the locations for these TVs, the bar was partitioned into 12 zones, and for each zone the optimally viewed TV locations were determined from among the potential locations of the 100-inch TVs (labeled A, B, C, D, E, and F) and the 32-inch locations (labeled 1- 22); this information is given in the following table. Zone TV Locations Zone TV Locations 1 1,2,3,C, D 7 A. B 7, 14, 15, 16 2 3, 4. C. D 8 A, B, F 8, 10 3 A, C, 4, 5, 13 9 A, B, F, 9, 16, 17 4 A. C. D. 4, 6 10 E, F. 20,21,22 5 A. C, 5, 7, 13, 14 11 B. E. F. 19, 20 6 A. B. 6, 7, 8 12 B. F. 11, 18, 19 Formulate and solve an integer program to determine the locations of the various TVs so as to minimize total cost.