..8.23 Todd's Direct, a major TV sales chain headquar- tered in New Orleans, is about to open its first outlet in Mobile. Alabama, and wants to select a site that will place the new out- let in the center of Mobile's population base. Todd examines the seven census tracts in Mobile, plots the coordinates of the center of each from a map, and looks up the population base in each to use as a weighting. The information gathered appears in the following table. POPULATION IN CENSUS TRACT X, Y MAP COORDINATES CENSUS TRACT 101 2,000 (25,45) 102 5,000 (25, 25) 103 10,000 (55, 45) 104 7,000 (50, 20) 105 10,000 (80, 50) 106 20,000 (70,20) 107 14,000 (90,25) a) At what center-of-gravity coordinates should the new store be located? b) Census tracts 103 and 105 are each projected to grow by 20% in the next year. How will this influence the new store's coordinates? P

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••8.23
Todd's Direct, a major TV sales chain headquar-
tered in New Orleans, is about to open its first outlet in Mobile,
Alabama, and wants to select a site that will place the new out-
let in the center of Mobile's population base. Todd examines the
seven census tracts in Mobile, plots the coordinates of the center
of each from a map, and looks up the population base in each
to use as a weighting. The information gathered appears in the
following table.
POPULATION IN
CENSUS TRACT
X, Y MAP
COORDINATES
CENSUS TRACT
101
2,000
(25, 45)
102
5,000
(25, 25)
103
10,000
(55, 45)
104
7,000
(50, 20)
105
10,000
(80, 50)
106
20,000
(70, 20)
107
14,000
(90, 25)
a) At what center-of-gravity coordinates should the new store be
located?
b) Census tracts 103 and 105 are each projected to grow by
20% in the next year. How will this influence the new store's
coordinates? P
Transcribed Image Text:••8.23 Todd's Direct, a major TV sales chain headquar- tered in New Orleans, is about to open its first outlet in Mobile, Alabama, and wants to select a site that will place the new out- let in the center of Mobile's population base. Todd examines the seven census tracts in Mobile, plots the coordinates of the center of each from a map, and looks up the population base in each to use as a weighting. The information gathered appears in the following table. POPULATION IN CENSUS TRACT X, Y MAP COORDINATES CENSUS TRACT 101 2,000 (25, 45) 102 5,000 (25, 25) 103 10,000 (55, 45) 104 7,000 (50, 20) 105 10,000 (80, 50) 106 20,000 (70, 20) 107 14,000 (90, 25) a) At what center-of-gravity coordinates should the new store be located? b) Census tracts 103 and 105 are each projected to grow by 20% in the next year. How will this influence the new store's coordinates? P
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