?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.

Census Tract   Population in Census Tract   Map Coordinate X   Map Coordinate Y

101   2,100   26   46

102   4,800   25   24

103   10,500   52   48

104   7,200   52   22

105   10,400   80   50

106   18,000   72   22

107   14,000   90   25

?a) The? center-of-gravity coordinates for the location of the proposed outlet in? Mobile, Alabama should? be:

x? =