S715 A development company is attempting to determine the lo

S7-15. A development company is attempting to determine the location for a new outlet mall. The region where the outlet mall wil be con structed includes four towns, which together have a sizable popula- tion base. The grid-map coordinates of thc four towns and the population of each are as follows: Coordinates Town y Population (10,000s) Four Corners 30 60 8.5 Whitesburg50 6.1 40 (Continued)

Solution

centre of gravity .

take the weighted average

x coordinate

30*8.5 + 50*6.1+ 10*7.3 + 40*5.9/ ( 8.5 + 6.1 + 7.3 + 5.9) = 31.2589928058

y coordinate

60*8.5 + 40*6.1+ 70*7.3 + 30*5.9/ ( 8.5 + 6.1 + 7.3 + 5.9) = 51.8705035971