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Beginning work in process cost $17.44 per unit and was 20% complete, and conversion costs $20.40 per equivalent unit in May. What is the finished cost per unit of that opening group?
A$37.84
B$33.76
C$29.73
D$21.52
Answer & Solution
Correct answer: B. $33.76
1. The opening group already carries $17.44 per unit, which is 100% of its materials plus the 20% of conversion done in April.
2. Only the remaining 80% of conversion is added in May.
3. That May conversion is $20.40 times 80%, which is $16.32 per unit.
4. Finished cost per unit is $17.44 plus $16.32, which is $33.76.
5. $37.84 adds a full $20.40 of conversion and so charges the 20% already paid for in April a second time.
6. $29.73 replaces the carried cost with the May materials rate of $13.41, which does not apply to units whose materials went in during April.
7. $21.52 adds only 20% of conversion, the share that had already been done rather than the share still to come.
_Source: Jonick, Principles of Managerial Accounting (UNG Press, CC BY-SA 4.0), section 3.3 Process Costing Calculations for a Department in a Manufacturing Company_
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