1. The problem involves understanding the inventory distribution of vanilla bean ice cream at location A16-7, position 0005. 2. We are given three quantities: ON HAND = 14, SALES FLOOR = 2, BACKROOM = unknown. 3. The total ON HAND quantity is the sum of SALES FLOOR and BACKROOM quantities. 4. Using the formula: $$\text{ON HAND} = \text{SALES FLOOR} + \text{BACKROOM}$$ 5. Substitute the known values: $$14 = 2 + \text{BACKROOM}$$ 6. Solve for BACKROOM: $$\text{BACKROOM} = 14 - 2 = 12$$ 7. Therefore, the BACKROOM quantity is 12 units. Final answer: BACKROOM = 12