a. Determine the placement of departments for a newly designed facility that will minimize total transportation costs using the data in the following tables. Assume that reverse distances are the same. The locations are shown in the grid. Use a cost of $1 per trip yard.

Location A

Location B

Location C

Location D

DISTANCE BETWEEN LOCATIONS (yards)

From To 1 2 3 4 A — 40 80 70 B — 40 50 C — 60 D —

NUMBER OF TRIPS PER DAY BETWEEN DEPARTMENTS From To 1 2 3 4 1 — 10 20 80 2 — 40 90 3 — 55 4 —

b. Suppose the company has revised its plans for the processes described in part a to accommodate technological process changes. Determine the placement of departments that will now minimize total travel cost. Use the distances shown in part

a, but use the following new matrix of daily trips between departments.

NUMBER OF TRIPS PER DAY BETWEEN DEPARTMENTS From To A B C D 1 — 20 20 40 2 — 10 50 3 — 60 4 —

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