$[17]$

Question $4$

$4\mathrm{.}1$ A six$-$aisle automated storage$/$retrieval system is in an integrated factory$-$warehouse facility. The storage racks in each aisle are $20m$ high and $100m$ long. The S$/$R machine for each aisle travels at a horizontal speed of $3\frac{m}{sec}$ and a vertical speed of $0\mathrm{.}6\frac{m}{sec}.$ Pick$-$anddeposit time $=15sec.$ Assume that the number of single$-$command cycles $\frac{?}{hr}$ is equal to the number of dual$-$command cycles$/$hr and that the system operates at $90\%$ utilization. Determine the throughput rate $($loads moved$/$hr$)$ of the AS$/$RS$.$

$(6)$