Example $2$

$10\mathrm{.}61$ An $A\frac{S}{R}S$ is being designed; randomized storage is to be used. One alternative being considered is to have each aisle be ${70}^{\text{'}}$ tall and ${310}^{\text{'}}$ long. The $\frac{S}{R}$ has a horizontal speed of $425$ fpm and a vertical speed of $80$ fpm $.$ It requires $0\mathrm{.}40$ minute 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 $\frac{S}{R}$ must be capable of performing $30$ retrievals per hour and $10$ storages per hour. It is expected that $100\%$ of the storages will be performed with dual$-$command cycles.

Can the system handle the required workload? Why or why not?