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. 25+ 20+ 15- 10- 5- Florence Covington Hyde Park Evendale Tower location Max Distance Tower location Max Distance Evendale Y 13 26 12 16 16 18 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. 0 X Covington 10 TN Locations Florence (a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations. miles Hyde Park ● miles 15 (b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. 20 y

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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.
25
20
15+
10+
5
Florence
Covington
Hyde Park
Evendale
Tower
location
X
Max
Distance
13
Tower
location
Max Distance
12
16
12
X
Evendale
0
X
Covington
Y
26
10
16
18
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.
TN Locations
Florence
(a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations.
y
miles
X
Hyde Park
miles
15
·
20
(b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations.
y
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. 25 20 15+ 10+ 5 Florence Covington Hyde Park Evendale Tower location X Max Distance 13 Tower location Max Distance 12 16 12 X Evendale 0 X Covington Y 26 10 16 18 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. TN Locations Florence (a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations. y miles X Hyde Park miles 15 · 20 (b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. y
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