Furniture, inc., estimates the following number of mattress sales for the first four months of 2013: month sales january 10,000 february 14,000 march 13,000 april 16,000 finished goods inventory at the end of december is 3,000 units. target ending finished goods inventory is 30% of the next month's sales. how many mattresses need to be produced in the first quarter (january, february, march) of 2013?

The 38,800 mattresses need to be produced in the first quarter (January, February, March) of 2013

Explanation:

The computation of the mattresses need to be produced in the first quarter is shown below:

= Total sales in first quarter + ending finished goods inventory - beginning finished goods inventory

where,

Total sales in the first quarter = January Sales + February sales + March sales

                                           = 10,000 + 14,000 + 13,000

                                           = 37,000 units

Ending finished goods inventory = April sales × percentage given

                                                       = 16,000 × 30%

                                                       = 4,800 units

And, the Beginning Finished goods inventory is 3,000 units

Now put these values to the above formula

So, the value would be equal to

= 37,000 + 4,800 - 3,000

= 38,800 units