MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Please help with the formulas for weighted distance in excel.
H2 A 1 Location 2 New York 3 Maryland 4 Virginia 5 SC 6 NC 7 TN 8 FL 9 Ohio 10 Wyoming 11 CA 12 Iowa 13 IL 14 Mass 15 NJ 16 PA 17 18 19 Coordinates location 20 Decision Variable fix B lat C long 40.714 -74.006 39.026 -77.076 37.432 -78.657 32.216 -80.753 35.772 -78.639 35.961 -83.921 27.499 -82.575 39.136 -84.503 43.623 -110.626 34.019 -118.491 41.699 -93.047 41.850 -87.650 42.934 -70.798 40.901 -74.514 39.952 -75.164 X 0 Y 0 D #Relatives 43 8 2 1 12 1 6 6 1 10 7 4 1 10 2 E F G Distance Weighted Distance 84.466222 86.393107 87.109297 86.941789 86.392561 91.30092 87.03328 93.12573 118.91618 123.27808 101.96327 97.128559 82.799384 85.001726 85.122172 H
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Transcribed Image Text:H2 A 1 Location 2 New York 3 Maryland 4 Virginia 5 SC 6 NC 7 TN 8 FL 9 Ohio 10 Wyoming 11 CA 12 Iowa 13 IL 14 Mass 15 NJ 16 PA 17 18 19 Coordinates location 20 Decision Variable fix B lat C long 40.714 -74.006 39.026 -77.076 37.432 -78.657 32.216 -80.753 35.772 -78.639 35.961 -83.921 27.499 -82.575 39.136 -84.503 43.623 -110.626 34.019 -118.491 41.699 -93.047 41.850 -87.650 42.934 -70.798 40.901 -74.514 39.952 -75.164 X 0 Y 0 D #Relatives 43 8 2 1 12 1 6 6 1 10 7 4 1 10 2 E F G Distance Weighted Distance 84.466222 86.393107 87.109297 86.941789 86.392561 91.30092 87.03328 93.12573 118.91618 123.27808 101.96327 97.128559 82.799384 85.001726 85.122172 H
Wedding Planning. The distance between two cities in the United States can be approximated by the following formula, where lat₁ and long, are the latitude and longitude of city 1 and lat2 and long, are the latitude and longitude of city 2: 69 (lat₁ - lat₂)² + (long₁ − long₂)² Ted's daughter is getting married, and he is inviting relatives from 15 different locations in the United States. The file Wedding gives the longitude, latitude, and number of relatives in each of the 15 locations. Ted would like to find a wedding location that minimizes the demand-weighted distance, where demand is the number of relatives at each location. Assuming that the wedding can occur anywhere, find the latitude and longitude of the optimal location. (Hint: Notice that all longitude values given for this problem are negative. Make sure that you do not check the option for Make Unconstrained Variables Non-Negative in Solver.)
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Transcribed Image Text:Wedding Planning. The distance between two cities in the United States can be approximated by the following formula, where lat₁ and long, are the latitude and longitude of city 1 and lat2 and long, are the latitude and longitude of city 2: 69 (lat₁ - lat₂)² + (long₁ − long₂)² Ted's daughter is getting married, and he is inviting relatives from 15 different locations in the United States. The file Wedding gives the longitude, latitude, and number of relatives in each of the 15 locations. Ted would like to find a wedding location that minimizes the demand-weighted distance, where demand is the number of relatives at each location. Assuming that the wedding can occur anywhere, find the latitude and longitude of the optimal location. (Hint: Notice that all longitude values given for this problem are negative. Make sure that you do not check the option for Make Unconstrained Variables Non-Negative in Solver.)
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