Question $1$ An automated storage & retrieval system $($ASRS$)$ installed in a wholesale warehouse has two $(2)$ aisles. The storage racks in each aisle are $80$ft high and $100$ft long. The storage & retrieval $($SR$)$ machine for each aisle travels at a horizontal speed of $150$f$($t$)/($m$)$in and vertical speed of $100$f$($t$)/($m$)$in$.$ The pickup$-$and$-$deposit time is $0\mathrm{.}20$min. Assuming the utilization is $80\%$ and the number of single command cycles equal to the number of dual command cycles. If the ASRS is to be utilized in class basis, the ASRS is to be divided into two $(2)$ classes, according to material type. Type A stock is stored in the half of the rack system that is located closest to the input$/$output station, and the less active stock is stored in