Final answer:
The number of futons produced in the last quarter of 2015 is 12,000.
Step-by-step explanation:
The number of futons produced in the last quarter of 2015 can be calculated by multiplying the estimated sales for each month by the corresponding percentage for finished goods.
For October, November, and December, the beginning finished goods would be 30% of the sales. For other months, it would be 10% of the sales.
To find the total number of futons produced in the last quarter of 2015, you need to add up the futons produced for each month and subtract the futons sold in January, which is 15,000.
Let's calculate:
- October: 20,000 x 0.3 = 6,000 futons
- November: 25,000 x 0.3 = 7,500 futons
- December: 30,000 x 0.3 = 9,000 futons
- Other months: (0.1 x sum of other months' sales) = 0.1 x (20,000 + 25,000) = 4,500 futons
- Total futons produced in Q4 2015: 6,000 + 7,500 + 9,000 + 4,500 - 15,000 = 12,000 futons
Therefore, a total of 12,000 futons will be produced in the last quarter of 2015.