Use SITATION and the 2010 GA data.grt file to (a) Show that you need 33 facilities to cover all of the 159 counties in Georgia with a coverage distance of 25 miles (using great circle distances...

Use SITATION and the 2010 GA data.grt file to

(a) Show that you need 33 facilities to cover all of the 159 counties in Georgia with a coverage distance of 25 miles (using great circle distances between the county centers).

(b) Determine how many facilities are needed to cover 90% of the demands in Georgia. How many counties are not covered? Where do you locate facilities? Draw a map of the solution using the GABorder.brd file.

(c) Formulate the problem of minimizing the number of facilities needed to cover a percent of the total demand assuming you can locate only on the nodes of the network. Clearly define all notation that you use. Clearly state the objective function and all constraints in words and in notation.