(a) Use the SITATION program with the 49-node data set (SORTCAP. GRT) and the first set of demands representing state populations to find the trade off between the number of facilities needed to cover...

(a) Use the SITATION program with the 49-node data set (SORTCAP. GRT) and the first set of demands representing state populations to find the trade off between the number of facilities needed to cover all demands and the coverage distance. In particular, plot a bar chart showing the number of facilities needed to cover all demands for coverage distances of 200, 250, . . . , 600 miles.

(b) Find the smallest (integer) distance such that all demands can be covered by five facilities. Where are these facilities located? (Give both the node numbers and the city names.)