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 ove 10 miles. The lacations that must be reached by this tower are shown in the following figure. TN Locatens 25 Evendale Flurence Iyde Park Caringon 16 10 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.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
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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 Locat ions
Evendale
Flurence Ide Pari
Covinglor
13
16-
10
y
Florence
12
18
Covington
Hyde Park
12
16
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.
Tower
location
Маx
miles
Distance
(b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations.
Tower
location
Маx
miles
Distance
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 Locat ions Evendale Flurence Ide Pari Covinglor 13 16- 10 y Florence 12 18 Covington Hyde Park 12 16 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. Tower location Маx miles Distance (b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. Tower location Маx miles Distance
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