An AS$/$RS is being designed; randomized storage is to be used. One alterative being

considered is to have each aisle be $90\text{'}$ tall and $300\text{'}$ long. The S$/$R has a horizontal speed of

$400fpm$ and a vertical speed of $80fpm.$ It requires $0\mathrm{.}40$ minutes to pick up or deposit a load.

The activity level for the system varies during each shift. The heaviest operating period is a

time during which a large number of retrievals must be performed. During peak activity,

each S$/$R must be capable of performing $22$ retrievals per hour and $8$ storages per hour. It is

expected that $100\%$ of the storage will be performed with dual$-$command cycles. Can the

system handle the required workload? Please provide detailed calculations to justify your

answer.