To be calculated:
The centre-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama
Given values:
7 census tracts, population in census tract and X,Y map coordinates
Solution:
The centre-of-gravity coordinates can be calculated as;
X-coordinate = Sum of [Xi x Population] / Total population in census tract
Total population in census tract = 2000 + 5200 + 10000 + 6800 + 10000 + 21000 + 12000
Total population in census tract = 67,000
X-coordinate = [(25 x 2000) + (26 x 5200) + (57 x 10000) + (52 x 6800) + (84 x 10000) + (72 x 21000) + (84 x 12000)] / 67000
X-coordinate = 66.70
Y-coordinate = Sum of [Yi x Population] / Total population in census tract
Y-coordinate = [(44 x 2000) + (26 x 5200) + (45 x 10000) + (20 x 6800) + (50 x 10000) + (20 x 21000) + (25 x 12000)] / 67000
Y-coordinate = 30.29
Answer:
x = 66.70
y = 30.29
2184 BUSQOM 1070 SEC1030 OPERATIONS MANAGEMENT Homework: HW-CH08 Score: 0 of 1 pt Problem 8.23 Megan...
Todd's Direct, a major TV sales chain headquartered in New Orleans, is about to open its first outlet in Mobile, Alabama, and wants to select a site that will place the new outlet 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....
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