Peridot Company's grinding department had the following data for
the month of January:
Production:
Units in process, January 1, 70% complete | 16,000 tons |
Units completed and transferred out | 37,000 tons |
Units in process, January 31, 45% complete | 20,000 tons |
Costs:
Work in process, January 1 | $6,225 |
Costs added during January | $19,075 |
Determine the cost to be assigned to ending work-in-process (EWIP)
using the weighted average method. (Note: Round the unit cost to
two decimal places.)
a.$8,984
b.$4,950
c.$3,790
d.$7,565
I know that the answer is B. Could you please show how to arrive to that answer? Any extra explanation would be helpful. Thank you!
The correct answer is B) $ 4950
Explanation
Firstly we have to calculate the equivalent units for the cost
= (unit completed and transferred *100%) +( units in ending inventory *45%)
=(37000*100%)+(20000*45%)
= 37000 +9000
= 46000 Units
Now we have to calculate the cost per equivalent unit
= ( beginning inventory cost + cost incurred during the period)/ equivalent units
= (6225+19075)/46000
= $0.55 Per equivalent unit
Cost of ending inventory
= Equivalent unit of ending inventory * cost per equivalent unit
= ( 20000*45%)*.55
= 9000*0.55
= $4950
Thus the correct answer is B) $4950
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