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
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Ответ:
A. 3,100
the total distance (in meters) loads that would be moved each week is 3,100
Explanation:
First we arrange the workflow of the departments in descending order while the distance will be in ascending order.
TRIPS DISTANCE(metres)
1 -11 10
11 - 111 10
1 - 111 20
DEPARTMENTAL PAIR WORKFLOW
Y-Z 150
Z-Y 130
Z-X 100
X-Z 80
Y-X 30
Given that question provided to allocate departments X, Y, and Z in areas 1, 2, and 3 respectively.
So, having that in mind, allocate the distance for each suitable departmental pair;
DEPARTMENTAL PAIR WORKFLOW DISTANCE TOTAL DISTANCE
(meter loads)
Y-Z 150 10 1500
Z-Y 130 -
Z-X 100 10 1000
X-Z 80 -
Y-X 30 20 600
3100
Therefore the total distance (in meters) loads that would be moved each week is 3,100
Ответ:
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Explanation:
It eez what it eez