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Q#3: Figure below illustrates the relative locations of the three cities. A large health maintenance organization (HMO) wishes to build a satellite clinic to service the three cities. The location of the clinic x should be such that the sum of the distances between the clinic and each city is minimized. This criterion can be stated as Minimize S =E (z, – x)ª Where x, is the location of the city j and x is the location of the clinic. a) Determine the distance function SH(x). b) Determine the location which minimizes S. Reference point City 1 City 2 City 3 miles 10 20 40 50 60 70

Q#3: Figure below illustrates the relative locations of the three cities. A large health maintenance organization (HMO) wishes to build a satellite clinic to service the three cities. The location of the clinic x should be such that the sum of the distances between the clinic and each city is minimized. This criterion can be stated as Minimize S =E (z, – x)ª Where x, is the location of the city j and x is the location of the clinic. a) Determine the distance function SH(x). b) Determine the location which minimizes S. Reference point City 1 City 2 City 3 miles 10 20 40 50 60 70

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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Q#3: Figure below illustrates the relative locations of the three cities. A large health maintenance organization (HMO) wishes to build a satellite clinic to service the three cities. The location of the clinic x should be such that the sum of the distances between the clinic and each city is minimized. This criterion can be stated as Minimize S = (z, – x)* j-1 Where x, is the location of the city j and x is the location of the clinic. a) Determine the distance function S=f(x). b) Determine the location which minimizes S. Reference point City 1 City 2 City 3 miles 10 20 40 50 70
Transcribed Image Text:Q#3: Figure below illustrates the relative locations of the three cities. A large health maintenance organization (HMO) wishes to build a satellite clinic to service the three cities. The location of the clinic x should be such that the sum of the distances between the clinic and each city is minimized. This criterion can be stated as Minimize S = (z, – x)* j-1 Where x, is the location of the city j and x is the location of the clinic. a) Determine the distance function S=f(x). b) Determine the location which minimizes S. Reference point City 1 City 2 City 3 miles 10 20 40 50 70
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