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Ending work in process is 7,300 units, 30% complete, with materials at $13.41 per unit and conversion at $20.40 per equivalent unit. What is the total cost of ending work in process?
A$246,813
B$97,893
C$142,569
D$178,288
Answer & Solution
Correct answer: C. $142,569
1. Unfinished units carry 100% of materials, because materials go in when the batch starts.
2. They carry only the completed share of conversion, which is 30%.
3. Cost per unit is $13.41 plus $20.40 times 30%, which is $13.41 plus $6.12, or $19.53 per unit.
4. Total cost is $19.53 per unit times 7,300 units, which is $142,569.
5. That $142,569 is exactly the balance left in Work in Process for the department after the completed units transfer out.
6. $246,813 uses the full $33.81 per unit and treats unfinished units as though they were complete.
7. $97,893 counts materials only and ignores three tenths of the conversion work already done.
8. $178,288 applies the 30% to materials and the full rate to conversion, which reverses the two treatments.
_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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