Question

Perrette Motor Company rebuilds automobile engines that have been damaged or are in need of extensive repair. The rebuilt engine has a 100,000-mile warranty and is purchased by auto shops, large motor pools in companies and governmental units, and some individual auto owners. The plant in Dayton, Ohio, specializes in the Ford V6 engine. Approximately 1,140 to 1,340 engines are rebuilt each month, and the costs of the plant are assigned to monthly production using weighted-average process costing. The current month began with a Work-in-Process Inventory of 460 engines, which were 50% complete for direct materials and 50% complete for conversion costs. The direct direct materials cost in beginning Work-in-Process was $153,600, while the conversion cost was $150,240. A total of 1,040 engines were completed and shipped out during the month, and total direct materials cost of $1,060,800 and conversion cost of $1,154,400 were incurred during the month. The ending Work-in-Process of 560 units was 50% complete for direct materials and 30% complete for conversion costs.

Required: Compute the cost per equivalent unit for direct materials and conversion for the month.

Answer 1

	Physical Units	Materials	Conversion
Beginning Inventory	460.00
Started During the Period	1,040.00
To Account for	1,500.00
Completed and Transferred out	940.00	940.00	940.00
Ending Inventory	560.00	280.00	168.00
Units Accounted for (Equivalent units)	1,500.00	1,220.00	1,108.00
Cost per Equivalent Unit
Beginning Inventory Costs		153,600.00	150,240.00
Cost added		1,060,800.00	1,154,400.00
Total Costs to date		1,214,400.00	1,304,640.00
Equivalent units		1,220.00	1,108.00
Cost per Equivalent Unit		995.41	1,177.47