Eight work centers must be arranges in an L-shaped building. The locations of centers 1 and 3 are assigned as shown. Assuming that transportation costs are $1 per load per meter, develop a suitable layout that minimizes transportation costs using the given information. Compute the total cost. (Assume the reverse distances are the same.)

Distance (meters)

From to a b c d e f g h

a - 40 40 60 120 80 100 110

b - 60 40 60 140 120 130

c - 45 85 40 70 90

d - 40 50 40 45

e - 90 50 40

f - 40 60

g - 40

h -

Loads per day

From to 1 2 3 4 5 6 7 8

1 - 10 5 90 370 135 125 0

2 - 360 120 40 115 45 120

3 - 350 110 40 20 200

4 - 190 70 50 190

5 - 10 40 10

6 - 50 20

7 - 20

8 -

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