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The district manager of basketball officials has to assign each team of officials to one game on Friday night. There are four sites for games. So each site needs one group of officials. Below are the distances in miles each group of officials is from each site. officials wayne SS Winne Wake A 210 90 180 160 B 100 70 130 200 C 175 105 140 170 D 80 65 105 120 1. How many variables are there in a linear programming problem to minimize distance traveled by the groups of officials in this assignment problem? 2. How many constraints are there in a linear programming problem to minimize distance traveled by the groups of officials in this assignment problem (excluding the non-negativity constraints)? 3. What is the minimum distance traveled in this assignment problem and where is each group is assigned when the goal of the district manager is minimize the distance traveled by officials as a group? 4. What would be the distance traveled if Group A goes to Wayne, Group B goes to South Sioux City, Group C goes to Winnebago, and Group D goes to Wakefield and how is this different from the minimum distance traveled?
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