3. United Copiers sells and services copy machines to customers in 11 cities (Boston, Chicago, Dallas, Denver, Los Angeles, Miami, New York, Phoenix, Pittsburgh, San Francisco, Seattle) throughout the country. The company wants to set up service centers in three of these cities. The only potential service center locations are in Memphis, Houston, Cleveland, Buffalo, Min- neapolis, St. Louis, and Kansas City. After United Copiers chooses the location of the service centers, it must assign customers in each city to one of the service centers. For example, if it decides to locate a service center in New York and then assigns its Boston customers to the New York service center, a service representative from New York will travel from Boston when ser- vices are required there. The distances (in miles) between the potential service center locations and the customer locations, and the estimated annual numbers of trips to the various customer are listed below. Memphis Houston Cleveland Buffalo Minneapolis St. Louis Kansas | Expected # Trips 885 City 1834 Boston 1770 1354 615 1831 1035 1735 Chicago Dallas 1694 2115 1980 1631 1909 459 2405 760 319 1280 866 2450 1369 795 1007 1124 Denver 2812 647 1155 1367 2462 997 868 708 Los Angeles 614 1471 2041 1230 1072 393 2053 1224 Miami 2542 2438 1187 1815 420 217 383 1152 New York 2378 563 2196 2678 2838 1881 1042 1560 Phoenix 2977 2859 1451 317 740 1272 1216 1222 2007 Pittsburgh San Francisco 856 1443 1431 2462 1322 132 1788 1488 1302 1421 1813 2746 1762 941 1656 Seattle 978 1967 1195 836 540 851 1230 612 What should United Copiers do to minimize the total annual distance traveled by its service representatives?