9. The Von Trapp family is in the process of moving to a new city where both parents have accepted new jobs. In trying to find an ideal location for their new home, the Von Trapps list the following goals:

(a) It should be as close as possible to Mrs. Von Trapp's place of work (within ~ mile).

(b) It should be as far as possible from the noise of the airport (at least 10 miles).

(c) It should be reasonably close to a shopping mall (within 1 mile).

Mr. and Mrs. Von Trapp use a landmark in the city as a reference point and locate the (x,y)-coordinates of work, airport, and shopping mall at (1,1), (20, 15), and (4,7), respectively

(all distances are in miles). Formulate the problem as a goal programming model. [Note: The resulting constraints are not linear.}