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 thesame.)

H 10 30 90 45 40 60 40 | |8|0 20 00 90 10 20 20 | 00 20 70 40 50 40 | 7-25 45 50 40 50 | 80 40 40 50 90 | 6-35 15 40 70 10 | ES-E-120 60 85 40 | rat D-60 40 45 | AD-4-90 120 350 | 5 40 60 | 3 0 ABCDEFGH 12345678