Return to the Kilroy Paper Company example introduced in this chapter. Upon further consideration, the logistics manager points out that the trucks do not make an equal number of trips to the various stores. Thus, a better proxy for total distribution costs would be obtained by weighting the distance from distribution center to store k by the annual number of trips to store k (represented as nk). The expanded set of input data is as follows:

a. Find the optimal location for Kilroy's distribution center in this expanded version of the problem.
b. What is the optimal value of the objective function?

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Trips Coordinates Site (k) XK Yk 41 12 20 10 20 3 44 48 15 60 4 58 27 100 4 8. 138 80 16 150 40 10 8. 170 18 18 182 2 25 190 56 14 10