TN Communications provides cellular telephone services. The company is planning to expand into the Cincinnati area and is trying to determine the best location for its transmission tower. The tower transmits over a radius of 10 miles. The locations that must be reached by this tower are shown in the following figure. TN Locations 25 Evendale 20 Florence Hyde Park Covington 15+ 10 5- 5 10 15 20 X Y Florence 12 18 Covington 12 16 Hyde Park 16 18 Evendale 12 22 TN Communications would like to find the tower location that reaches each of these cities and minimizes the sum of the distances to all locations from the new tower. Round your answers to two decimal digit. (a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations. X Tower 12 15.662 location Max 10 miles Distance Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. Tower 13 19 location Max Distance 3.16 miles