A temporary-help agency wants to open an office in a suburban section of a large city. It has identified five large corporate offices as potential customers. The locations of these offices in miles on an xy coordinate grid for the area are c1 (4, 4), c2 (4, 11), c3 (7, 2), c4 (11, 11), and c5 (14, 7). The expected demand for temporary help from these customers is weighted as w1 =3, w2 =2, w3= 2, w4= 4, and w5 =1. The agency reimburses employees for travel expenses incurred by their assignments; therefore, recommend a location (i.e., xy coordinates) for the agency that will minimize the total weighted metropolitan distance for job related travel.

a). What is the median?

b). The optimal point lies on which of the following line segments?

Option 1 - (7,0)(7,7)

Option 2 - (7,7)(7,11)

Option 3 - (0,11)(7,11)

Option 4 - (0,7)(7,7)