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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 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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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