Final answer:
To calculate the number of mattresses that should be produced in the first quarter of 2016, we need to calculate the target ending finished goods inventory for each month and sum them up.
Step-by-step explanation:
To calculate the number of mattresses that should be produced in the first quarter of 2016, we need to calculate the target ending finished goods inventory for each month.
The target ending finished goods inventory for each month is 20% of the next month's sales. So, for January, the target ending finished goods inventory is 20% of February's sales. Using this calculation, we can determine the target ending finished goods inventory for each month.
Finally, we sum up the target ending finished goods inventory for each month to get the total number of mattresses that should be produced in the first quarter of 2016.
January target ending finished goods inventory: 20% of 30,800 = 6,160
February target ending finished goods inventory: 20% of 28,600 = 5,720
March target ending finished goods inventory: 20% of 35,200 = 7,040
Total number of mattresses to be produced in the first quarter of 2016: 6,600 + 6,160 + 5,720 + 7,040 = 25,520 mattresses.