Consider a unit load AS/RS rack that is 400 long and 80 high. The S/R machine travels at 450 fpm and 90 fpm in the horizontal and vertical directions, respectively. The I/O point is located at the lower lefthand corner of the rack. Each trip starts and ends at the I/O point. Randomized storage is used. Suppose two types of products, labeled A and B, are stored in the rack. As shown below, product type A is stored in a 40 by 200 rectangular region located at the center of the rack. The remainder of the rack is used for storing product type B.

a. Determine the expected single-command travel time (in minutes) for handling product type A.

b. Determine the expected single-command travel time (in minutes) for handling product type B.

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80' P/D 100' 400' T 20' 200 A 40' 20' B 100