A trauma center keeps ambulances at locations throughout the east side of a city in an attempt to minimize the response time in the event of an emergency. The times in minutes, from ambulance locations to population centers are given in the table below.
POPULATION CENTERS
AMBULANCE
LOCATIONS EAST NORTHEAST SOUTHEAST CENTRAL
Site 1 8 9 12 13
Site 2 9 11 10 8
Site 3 12 14 12 11
Site 4 15 12 13 9
Find the optimal assignment of ambulances to population centers that will minimize the total emergency response time.
a) What is the total minimum response time of all ambulances to their assigned population centers?
b) To what population center is the Site 1 ambulance location assigned to?
c) To what population center is the Site 2 ambulance location assigned to?
d) To what population center is the Site 3 ambulance location assigned to?
e) To what population center is the Site 4 ambulance location?