Final answer:
Lori Locks should produce 2,400 safes in January.
Step-by-step explanation:
In order to determine how many safes Lori Locks should produce in January, we need to follow the given information. According to the question, the ending finished goods in a month are equal to 15% of the next month's sales. Given that April's sales are expected to be 16,000 units, we know that at the end of March, Lori Locks should have 15% of 16,000 units as finished goods. This means that the finished goods at the end of March should be 0.15 * 16,000 = 2,400 units.
Now, let's calculate how many safes Lori Locks should produce in January. Since the ending finished goods in March are the same as the sales in April, and we know that at the end of March there will be 2,400 units of finished goods, this means that Lori Locks should produce 2,400 units in January.