Todd\'s Direct, a major TV sales chain headquartered in New Orleans, is about to

Question

Todd's Direct, a major TV sales chain headquartered in New Orleans, is about to open its Srst outlet in Mobile, Alabama, and wants to select a she that will place the new outiet 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 wolghdng The information gaethered appears in the following table Census Population in Cesus XY Map Tract 101 102 103 104 105 106 107 Tract Coordinates 2,000 5,000 10,000 7,000 10,000 20,000 4,000 25,45) (25.25) (55.45) (50,20) 80,50) (70,20) (90 25) a) The center of gavity coordinaltes for the location of the proposed outlet in Mobile, Alabama shoudld be 8669 (round your response to two decimal places) -30 22 (round your response to two decimal places) b)Censustracts 103 and 105are each practed to gow by 20% inthe next year The new eiendgaay edd deates for te bain.peposedodenwek Alabama shuld be round your response to two decimal places Enter your answer in the answer box and then cack Check Answer clear At

Explanation / Answer

b) Census tracts 103 and 105 are each projected to grow by 20%. This means, 103 and 105 are increased by 20%. Which means - 10,000 * 20/ 100 = 12,000

Population census for both 103 and 105 will become 12,000 and rest all remains same.

Cx = (25* 2000) + (25 * 5000) + (55* 12,000) + (50* 7000) + (80 * 12,000) + (70 * 20,000) + (90 * 14,000) / (2000 + 5000 + 12000 + 7000 + 12000 + 20000 + 14000)

= 4805000/ 72000 = 66.73

Cy = (45 * 2000) + (25 * 5000) + (45 * 12,000) + (20 * 7000) + (50 * 12000) + (20 * 20,000) + (25 * 14000) / (2000+ 5000+ 12,000 + 7000 + 12000 + 20000 + 14000)

= 2245000/ 72000 = 31.18

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