Now assume the company has estimated the number of service calls from each city and wants to choose exactly four service center locations and assign each city to a service center. Once a city is assigned to a service center, all calls will be handled by an agent from that center. Find the location and assignment that minimizes the total distance travelled based on the expected number of service calls. City Number of service calls expected (thousands) 2 3 6 3 4 San Antonio Phoenix Los Angeles Seattle Detroit Minneapolis Chicago Atlanta New York Boston Philadelphia 2 7 5 9 5 4 San Antonio Phoenix San Antonio 99,999 602 Phoenix 602 99,999 Los Angeles 1,376 851 Seattle 1,780 1,193 Detroit 1,262 1,321 Minneapolis 1,140 1,026 Chicago 1,060 1,127 Atlanta 935 1,290 New York 1,848 2,065 Boston 2,000 2,201 Philadelphia 1,668 1,891 Los Angeles Seattle 1,376 1,780 851 1,193 99,999 971 971 99,999 2,088 1,834 1,727 1,432 1,914 1,734 2,140 2,178 2,870 2,620 2,995 2,707 2,702 2,486 Detroit 1,262 1,321 2,088 1,834 99,999 403 205 655 801 912 654 Minneapolis Chicago 1,140 1,060 1,026 1,127 1,727 1,914 1,432 1,734 403 205 99,999 328 328 99,999 876 564 1,200 957 1,304 1,082 1,057 794 Atlanta 935 1,290 2,140 2,178 655 876 564 99,999 940 1,096 765 New York 1,848 2,065 2,870 2,620 801 1,200 957 940 99,999 156 180 Boston 2,000 2,201 2,995 2,707 912 1,304 1,082 1,096 156 99,999 333 Philadelphia 1,668 1,891 2,702 2,486 654 1,057 794 765 180 333 99,999