6. A franchise of a chain of Mexican restaurants wants to determine the best location to attract customers from three suburban neighborhoods. The coordinates of the three suburban neighborhoods are as follows:

Neighborhood X-Coordinate Y-Coordinate Liberty 2 12 Jefferson 9 6 Adams 1 1 The population of Adams is four times as large as Jefferson, and Jefferson is twice as large as Liberty. The restaurant wants to consider the population in its location decision. Develop and solve a model to find the best location, assuming that straight-line distances can be used between the locations.