Department g had 2,040 units 25% completed at the beginning of the period, 12,200 units were completed during the period, 1,700 units were 20% completed at the end of the period, and the following manufacturing costs debited to the departmental work in process account during the period: work in process, beginning of period $26,100costs added during period: direct materials (11,860 units at $9) 106,740 direct labor 78,600 factory overhead 26,200all direct materials are placed in process at the beginning of production and the first-in, first-out method of inventory costing is used. what is the total cost of the departmental work in process inventory at the end of the period (round unit cost calculations to four decimal places and round your final answer to the nearest dollar)? $15,300$17,521$23,739$18,261expert answer

18261

Explanation:

The first key-point will be that materials are applied entirely at the begining of the production so this part of the cost is quite easy:

You have an ending inventory of 1,700 units and then you have a given data of $9 per unit for direct materials so mulitply those to get:

ending inventory $15,300 materials cost

Next part will be to calculate the conversion cost.

First step, will be to calculate the conversion cost for the period,

which is direct labor + factory overhead:

78,600 + 26,200 = 104,800

Remember conversion cost = labor + overhead

Second, calculate the equivalent units:

Here we have the data for completed units so we work it like this

Complete units                                                                              12200

(this are finished o they count entirely)

+ ending units x percent of completion                   1700 x 20% = 340

(this are units we work during this period)

- beginning units x percent of completion              (2040) x 5% = (510)

(this are units we don't work on this period,

they are from the previous month,

so we subtract them)

Equivalent units for conversion cost                                              12030

Third, we are almost there, we will divide this two to get the value of 1 unit of conversion cost

104,800 conversion cost / 12,030 equivalent units = 8.7115 CC per unit

Fourth, calculate the conversion cost for the ending inventory

conversion cost per unit x equivalent units of ending inventory

8.7115 x 340 = 2961

Last Step, we add the materials cost with the conversion cost

15,300 + 2,961 = 18261 VALUE OF ENDING INVENTORY

b is the correct answer