The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose latitudes and longitudes are shown in Table, along with the population in each census tract (in thousands). Customers will travel from the seven census-tract centers to the new facility when they need health care. What is the target area’s center of gravity for the Health-Watch medical facility? TABLELOCATION DATA AND CALCULATIONS FOR HEALTH-WATCHCensus Tract PopulationLatitudeLongitude Population × LatitudePopulation × Longitude152,71142.134-80.041114,225.27-216,991.15164,16142.129-80.023175,298.77-332,975.70172,98842.122-80.055125,860.54-239,204.34252,51242.112-80.066105,785.34-201,125.79264,34242.117-80.052182,872.01-347,585.78276,68742.116-80.023281,629.69-535,113.80286,78942.107-80.051285,864.42-543,466.24Total30,1901,271,536.04-2,416,462.80

Answered: TABLE LOCATION DATA AND CALCULATIONS…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose latitudes and longitudes are shown in Table, along with the population in each census tract (in thousands). Customers will travel from the seven census-tract centers to the new facility when they need health care. What is the target area’s center of gravity for the Health-Watch medical facility?

TABLE
LOCATION DATA AND CALCULATIONS FOR HEALTH-WATCH
Census Tract Population
Latitude
Longitude Population × Latitude
Population × Longitude
15
2,711
42.134
-80.041
114,225.27
-216,991.15
16
4,161
42.129
-80.023
175,298.77
-332,975.70
17
2,988
42.122
-80.055
125,860.54
-239,204.34
25
2,512
42.112
-80.066
105,785.34
-201,125.79
26
4,342
42.117
-80.052
182,872.01
-347,585.78
27
6,687
42.116
-80.023
281,629.69
-535,113.80
28
6,789
42.107
-80.051
285,864.42
-543,466.24
Total
30,190
1,271,536.04
-2,416,462.80

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