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 $x-$y 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.