core: 0 of 2 pts roblem 8.23 Todd\'s Direct, a major TV sales chain headquartere

Question

core: 0 of 2 pts roblem 8.23 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 ste that will place the new outlet in the center of Mobile's population base. Todd examines the seve 12of17(13 complete) ? HW Score: 52%, 15.6 of 30 EQuestion Help 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 folowing table Census Population in Census XY Map Tract Tract 102 103 104 105 06 107 1,800 5,200 9,500 7.000 0,200 20,000 14,000 (24,44) (24 26) (57 45) 150.20) 68,18) 90.25) a) The center-of gravity coondinates for the location of the proposed outet in Mobile, Alabama should be rraund your response to two decimal lec Enter your answer in the answer box and then click Check Anawer Check Answr Clear Al

Explanation / Answer

The coordinates of the location of the proposed outlet are determined by Center of Gravity method as under:

X-coordinate of the proposed outlet = ?Pi*Xi/?Pi , where Xi is the X coordinate of the tract i and Pi is the population in tract i

X-coordinate = (1800*24+5200*24+9500*57+7000*50+10200*80+20000*68+14000*90)/(1800+5200+9500+7000+10200+20000+14000) = 66.40

Y-coordinate of the proposed outlet = ?Pi*Yi/?Pi , where Yi is the Y coordinate of the tract i and Pi is the population in tract i

Y-coordinate = (1800*44+5200*26+9500*45+7000*20+10200*48+20000*18+14000*25)/(1800+5200+9500+7000+10200+20000+14000) = 29.27

ANSWER: 66.40, 29.27

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