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		X, Y Map Coordinates
101	1,800		(25,44)
102	5,200		(25,25)
103	10,000		(57,48)
104	7,200		(52,20)
105	10,400		(76,48)
106	20,000		(70,20)
107	12,000		(84,22)

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

Part 2

x = enter your response here (round your response to two decimal places).

y=

b) Census tracts 103 and 105 are each projected to grow by 30% in the next year.

Calculate the new x-coordinate.

Calculate the new y-coordinate.