Do the calculations please A company needs to locate three departments (X, Y, an

ID: 365419 • Letter: D

Question

Do the calculations please

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 $.50 per load meter moved. An analyst has prepared the following flow and distance matrices:

Distances (meters) Flows (Loads per week)

From/To I II III From/To X Y Z

I - 10 20 X - 0 80

II - - 10 Y 30 - 150

III - Z 100 130 -
If the company were to locate departments X, Y, and Z in areas 1, 2, and 3, respectively, what would be the total distance (in meters) loads would be moved each week?
A. 3,100
B. 3,600
C. 6,200
D. 7,200
E. 8,200

Explanation / Answer

The calculation is as follows:

Department pair

Distance

Total Load between pair

Distance *Load

X – Y

(area I - II)

0 + 30 = 30

10*30 = 300

X – Z

(area I - III)

80 + 100 = 180

20*180 = 3600

Y – Z

(area II - III)

150 + 130 = 280

10*280 = 2800

Total Distance *Load

300+3600+2800

= 6700

Total distance-load per week = 6700