Printed (Chinese) Name: TH ID: Problem 6 (10 points) Class: 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 3.50 per load per meter moved. An analyst has prepared the following distances and flow matrices: Distances (meters) X = I Y I From/To IX IN III X= I Y=0 - 10 - 20 I to II X=II yeI II I to Il zo x= Y = T I to I lo. x= II y=I Flows (loads per week) From To X V z x=1 y=1 X - 60 90 Y 40 - 160 Z 110 140 - 10 If departments X, Y, and Z were to be located in areas I, II, and III, respectively, what would be the total distance in meters) loads would be moved each week? distance W y) = 6ot 40 cloo (20) : 2000 6o.+40=100 160 +140 = 200 Y-z = 160+14=300 10 = 3000 90+ 11.-20. 2000 X-2 = 90 + 110 2200 10 7000 Toral