During April, the first production department of a process manufacturing system completed its work on 385,000 units of a product and transferred them to the next department. Of these transferred units, 77,000 were in process in the production department at the beginning of April and 308,000 were started and completed in April. April's beginning inventory units were 70% complete with respect to materials and 30% complete with respect to conversion. At the end of April, 99,000 additional units were in process in the production department and were 90% complete with respect to materials and 40% complete with respect to conversion.
Compute the number of equivalent units with respect to both materials used and conversion used in the first production department for April using the weighted-average method.
The production department had $1,332,034 of direct materials and
$915,420 of conversion costs charged to it during April. Also, its
April beginning inventory of $225,016 consists of $185,086 of
direct materials cost and $39,930 of conversion costs.
1. Compute the direct materials cost per
equivalent unit for April. (Round "Cost per EUP" to 2
decimal places.)
2. Compute the conversion cost per equivalent unit
for April. (Round "Cost per EUP" to 2 decimal
places.)
3. Using the weighted-average method, assign
April’s costs to the department’s output—specifically, its units
transferred to the next department and its ending work in process
inventory. (Round "Cost per EUP" to 2 decimal
places.)
Equivalent units of production (EUP)- weighted average method | |||||
Units | %Materials | EUP-Materials | %Conversion | EUP-Conversion | |
Units completed and transferred out | 385000 | 100% | 385000 | 100% | 385000 |
Ending work in process | 99000 | 90% | 89100 | 40% | 39600 |
Total units | 484000 | 474100 | 424600 | ||
Cost per equivalent unit of production | Materials | Conversion | |||
Cost of beginning work in process | 185086 | 39930 | |||
Costs incurred this period | 1332034 | 915420 | |||
Total costs | Costs | 1517120 | Costs | 955350 | |
÷ Equivalent units of production | EUP | 474100 | EUP | 424600 | |
Cost per equivalent unit of production | 3.20 | 2.25 | |||
Total costs to account for: | |||||
Direct materials-Prior period | 185086 | ||||
Conversion costs-Prior period | 39930 | ||||
Direct materials-Current period | 1332034 | ||||
Conversion costs-Current period | 915420 | ||||
Total costs to account for | 2472470 | ||||
Total costs accounted for | 2472470 | ||||
Difference due to rounding cost/unit | 0 | ||||
Cost Assignment and Reconciliation: | |||||
Cost of units transferred out | EUP | Cost per EUP | Total cost | ||
Direct materials | 385000 | 3.20 | 1232000 | ||
Conversion | 385000 | 2.25 | 866250 | ||
Total cost transferred out | 2098250 | ||||
EUP | Cost per EUP | Total cost | |||
Cost of ending work in Process | |||||
Direct materials | 89100 | 3.20 | 285120 | ||
Conversion | 39600 | 2.25 | 89100 | ||
Total Cost of ending work in Process | 374220 | ||||
Total cost accounted for | 2472470 |
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