The Director, ABC medical college, is responsible for assigning resident doctors to the three hospitals the college has contract with. She recognizes the need that the doctors should be assigned to hospitals nearer to their place of residence to save on travel time. She divides the city into sectors A, B, C, D and E. The hospitals are located in sectors B, C and E. The table below reflects the number of resident doctors living in each sector and the distance in kilometers from each sector to each hospital. Distance to hospital Hospital in Hospital in Hospital in Number of Sector Sector B Sector C Sector E Resident doctors A 5 8 6 7 B 0 4 12 5 C 4 0 7 10 D 7 2 5 8 E 12 7 0 4