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 Max Distance b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. acation lax Distance 14.77 15 5.8 17.38 miles miles
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 Max Distance b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations. acation lax Distance 14.77 15 5.8 17.38 miles miles
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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Question
N 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 18 12
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
14.77
17.38
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
15
Max Distance
5.8
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
y
25
20
151
10+
5
Florence
Covington
Hyde Park
Evendale
Tower
location
Max
Distance
Fin
Tower
location
Max Distance
5
X
15
18
12
16
12
5.8
14.77
Evendale
X
Covington
у
12
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.
10
(a) Formulate and solve a model that minimizes the total distance between the transmission tower location and all the city locations.
y
17.38
Hyde Park
X miles
15
Florence
(b) Formulate and solve a model that minimizes the maximum distance from the transmission tower location to the city locations.
x
y
miles
20
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