Using the 2010 County Sorted 250.grt data set, (a) find the values of the range of the cost per population unit per mile at which it is optimal to locate 1, 2, . . . , 10 facilities. Note that the...

Using the 2010 County Sorted 250.grt data set,

(a) find the values of the range of the cost per population unit per mile at which it is optimal to locate 1, 2, . . . , 10 facilities. Note that the fixed cost is $100,000 per facility per period in this case. The range of this parameter for which it is optimal to locate a single facility is from 0.0 to 0.000001223426.

(b) Suppose the demand per population unit was 0.00001 demands per unit population per period. Note that the fixed costs are also given as per period fixed costs (e.g., per month). Recompute the values found in part (a) but now give the values in terms of the cost per item per mile. Note that this is simply a problem in dimensional analysis.

(c) Suppose the cost per item-mile is $0.25. How many facilities should be deployed? Where should they be? Plot a map of the solution. What is the total cost of this solution (per period)?