A mailroom is to be located within a multifloor building under construction. The U.S.

Postal Service and other overnight delivery services will bring all incoming mail and parcels to the mailroom. Individuals will travel from their departments to the mailroom to pick up anything addressed to employees within the departments. The (x, y, z) coordinates of the entrances for the eight departments are P1  (8, 20, 8), P2  (12, 10, 2), P3  (25, 35, 2), P4  (40, 20, 2), P5  (25, 35, 12), P6  (30, 40, 12), P7  (15, 25, 22), and P8  (25, 35, 22).

a. Determine the minisum location for the mailroom, assuming the “weights” between the mailroom and the departments are 2, 1, 1, 2, 2, 3, 1, and 2, respectively, and travel is rectilinear.

b. Determine the minisum location for the mailroom, assuming all weights are equal, rectilinear travel occurs within a floor, and travel between floors occurs at the (x, y)

coordinate point (25, 30).

c. Solve part

(a) for the minimax location.

d. Solve part

(b) for the minimax location.