An Amazon AS/RS system is being designed with unit load dimensions of 48(L)40 (W)36(H). There are going to be 30 aisles with dedicated S/R machine for each aisle. There will be 15 levels and 80 columns of storage on each side of the aisle (a total of 2400 storage openings per aisle). The S/R machine will travel horizontally at an average speed of 300fpm and vertically at 70fpm, simultaneously. The time required to pick up or deposit a unit load is 0.5 minute. Each S/R will have to store and retrieve at a rate of 12 storages per hour and 12 retrievals per hour. It is estimated that 40% of storages and retrievals will be performed on a dual-command cycle. 1. What will be the length, width, and height of the storage facility? 2. What will be the Single Command Cycle Time? 3. What will be the Dual Command Cycle Time? 4. What will be the utilization of each S/R ? 5. What will be the cost of the building if building cost is approximately $20/ft2