177. The inventory at June 1 and costs charged to Work in Process – Department 60 during June are as follows:
3,800 units, 80% completed ($25,000 Materials, $35,400 conversion)
Direct materials, 32,000 units
Total cost to be accounted for
During June, 32,000 units were placed into production and 31,200 units were completed, including those in inventory on June 1. On June 30, the
inventory of work in process consisted of 4,600 units which were 40% completed. Inventories are costed by the average cost method and all materials
are added at the beginning of the process.
Determine the following, presenting your computations:
equivalent units of production for conversion cost
conversion cost per equivalent unit and material cost per equivalent unit.
total and unit cost of finished goods completed in the current period
total cost of work in process inventory at June 30
(a)
Equivalent units of production:
Transferred out
31,200
To process units in inventory on June 30:
4,600 ´ 40% =
1,840
Equivalent units of production for conversion cost
33,040
(b)
Conversion cost per equivalent unit of production:
Conversion costs: from beginning inventory
$ 35,400
Direct labor
$244,000
Factory overhead
188,000
$467,400
Material cost per equivalent unit:
From beginning inventory
$25,000
Added during the period
368,000
Total
393,000
Units (3,800+32,000)
35,800
Material cost per unit
$10.98
(c)
Total and unit cost of finished goods completed in the current period
Unit cost of finished goods completed:
Material costs per unit
$ 10.98
Conversion costs per unit
14.15
Total cost per unit
$ 25.13
Total costs of goods completed during the period:
31,200 ´ $25.13
784,056
(d)
Cost of work in process inventory at June 30:
Direct materials, 4,600 units at $10.98
$50,508
Conversion costs, 1,840 units at $14.15
26,036
Total cost
$76,544