A company needs to locate three departments (x, y, and z) in the three areas (i, ii, and iii) of a new facility. they want to minimize interdepartmental transportation costs, which are expected to be $0.50 per load per meter moved. an analyst has prepared the following distances and flow matrices: distances (meters)
from/to i ii iii
i - 10 20
ii - 10
iii -

flows (loads per week)
from/to x y z
x - 60 90
y 40 - 160
z 110 140 -

required:
a. what are total weekly costs for an optimum layout?
b. which layout will minimize the total distance loads will be moved each week?