3. (8 points) Find the optimal location of an ambulance with respect to four (known) possible accident locations with coordinates P1=(4,9),P2=(7,12),P3=(8,2), and P4=(14,3). The objective is to minimize the maximum distance from the ambulance location to an accident location and from the accident location to its closest hospital. The distances from the accident locations to their closest hospitals are random values between 1 and 50(hi[1,50]i{1, ,4}). You have to decide the value of the distances in such a way that each value must be different from the others. Assume that all distances are rectilinear. (You should do some research to be able to solve this question.)