Five departments are involved in the processing required for the products in a manufacturing company. A summary of the material flow matrix (between departments) and distance matrix (between sites, in feet) can be found in the tables below. The material handling cost is directly proportional to the distance traveled.

a. Determine a lower bound for the material handling cost.

b. Determine the material handling cost for the current layout design.

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Volume Flow Matrix 1 2 3 4 5 10 48 65 2 4 0 3 79 3 8 3 0 2 1 4 6 7 20 6 46 5 5 9 16 0 Distance Matrix 1 2 3 4 5 1 0 70 45 62 35 2 70 0 57 47 91 3 45 57 0 28 71 4 62 47 28 0 62 5 35 91 71 62 0