164. The inventory at June 1 and costs charged to Work in Process – Department 60 during June are as follows:
3,800 units, 60% completed
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 85% completed. Inventories are costed by the first-in, first-out method and all
materials are added at the beginning of the process.
Determine the following, presenting your computations (Prepare your computations using unit cost data to four decimal places, i.e. $4.4444, to
minimize rounding differences):
equivalent units of production for conversion cost
conversion cost per equivalent unit
total and unit cost of finished goods started in prior period and completed in the current period
total and unit cost of finished goods started and completed in the current period
total cost of work in process inventory at June 30
(a)
Equivalent units of production:
To process units in inventory on June 1:
3,800 ´ 40%
1,520
To process units started and completed in June:
31,200 – 3,800
27,400
To process units in inventory on June 30:
4,600 ´ 85%
3,910
Equivalent units of production for conversion cost
32,830
(b)
Conversion cost per equivalent unit of production:
Direct labor
$274,000
Factory overhead
168,000
$442,000
Unit conversion cost, $442,000 32,830
(c)
Cost of finished goods started in the prior period and completed in current period:
Work in process inventory on June 1:
3,800 ´ 60%
$60,400
Conversion costs in current period,
3,800 ´ 40% = 1,520 units at $13.4633
20,464
Total cost
$80,864
Beginning inventory,
Unit cost, $80,864 3,800
(d)
Cost of finished goods started and completed in current period:
Direct materials, 27,400 units at $11.8125
$323,663
Conversion costs, 27,400 units at $13.4633
368,894
Total cost
$692,557
Unit cost, $692,557 27,400
(e)
Cost of work in process inventory at June 30:
Direct materials, 4,600 units at $11.8125
$ 54,338
Conversion costs, 3,910 units at $13.4633
52,642
Total cost accounted for, $80,864 + $692,557 + $106,980
$880,401*