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.

	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	y
Tower location
Max Distance		miles

(b)

Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations.

	x	y
Tower location
Max Distance		miles