A factory produces 15,000 cellular phones per day. The dimensions of each cell phone are 5 x 2.5 x 2.5 inches. Management wishes to have a one-week (five-day) supply in stock. One hundred cell phones are packed in a carton, and cartons may be stacked seven high. Determine the floor space required in the warehouse to accommodate the five-day supply of cell phones.
Please show all work.