Final answer:
Furniture Inc. needs to produce 21,560 mattresses in January 2016 to meet the demand and have the target ending inventory.
Step-by-step explanation:
To calculate the number of mattresses Furniture Inc. needs to produce in January 2016, we use the following steps:
- Start with the target ending finished goods inventory (EFI) for January which is 20% of February's sales.
- Calculate EFI for January: 20% of 30,800 (February sales) equals 6,160 mattresses.
- Add the EFI to January sales to find the total number of mattresses required for January: 22,000 (January sales) + 6,160 (EFI for January) equals 28,160 mattresses.
- Subtract the existing finished goods inventory at the end of December from this total: 28,160 - 6,600 equals 21,560 mattresses.
Therefore, Furniture Inc. needs to produce 21,560 mattresses in January 2016.