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 towe figure. TN Locations 25 Evendale 20 Hyde Park Covington 15 10- x Florence 18 12 Covington Hyde Park 12 16 16 18 12 22 Florence 10 15 20 Evendale 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 dec (a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations. Tower location Max Distance (b) miles Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. Tower location Max Distance miles

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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+
Hyde Park
Covington
15+
10-
5
5
10
Florence
15
20
x
x
y
Florence
18
12
Covington
12
16
16
12
18
22
Hyde Park
Evendale
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 digits.
(a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations.
Tower
location
Max
Distance
(b)
miles
Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations.
Tower
location
Max Distance
miles
Transcribed Image Text: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+ Hyde Park Covington 15+ 10- 5 5 10 Florence 15 20 x x y Florence 18 12 Covington 12 16 16 12 18 22 Hyde Park Evendale 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 digits. (a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations. Tower location Max Distance (b) miles Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. Tower location Max Distance miles
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