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A manufacturer has two manufacturing departments, Assembly and Painting. The company uses the FIFO method and it reports the following data. Units completed in the Assembly department are transferred to the Painting department.   Units Direct materials Percent Complete Conversion Percent CompleteBeginning work in process inventory 75,000 60% 40%Units started this period 900,000    Units completed and transferred out 885,000    Ending work in process inventory 90,000 80% 30%Production cost information for the Assembly department follows. Beginning work in process    Direct materials $ 134,400  Conversion 45,900 $ 180,300Costs added this period    Direct materials $ 3,693,600  Conversion 2,690,100 $ 6,383,700 Calculate the equivalent units of production for both direct materials and conversion for the Assembly department. Multiple Choice975,000 EUP Direct Materials; 975,000 EUP Conversion.927,000 EUP Direct Materials; 867,000 EUP Conversion.912,000 EUP Direct Materials; 882,000 EUP Conversion.858,000 EUP Direct Materials; 918,000 EUP Conversion.

Question

A manufacturer has two manufacturing departments, Assembly and Painting. The company uses the FIFO method and it reports the following data. Units completed in the Assembly department are transferred to the Painting department.   Units Direct materials Percent Complete Conversion Percent CompleteBeginning work in process inventory 75,000 60% 40%Units started this period 900,000    Units completed and transferred out 885,000    Ending work in process inventory 90,000 80% 30%Production cost information for the Assembly department follows. Beginning work in process    Direct materials 134,400 Conversion45,900 134,400  Conversion 45,900 180,300Costs added this period    Direct materials 3,693,600 Conversion2,690,100 3,693,600  Conversion 2,690,100 6,383,700 Calculate the equivalent units of production for both direct materials and conversion for the Assembly department. Multiple Choice975,000 EUP Direct Materials; 975,000 EUP Conversion.927,000 EUP Direct Materials; 867,000 EUP Conversion.912,000 EUP Direct Materials; 882,000 EUP Conversion.858,000 EUP Direct Materials; 918,000 EUP Conversion.

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Solution

To calculate the equivalent units of production for both direct materials and conversion for the Assembly department, we need to follow these steps:

  1. Calculate the equivalent units for the beginning work in process inventory: For direct materials, it's 75,000 units * 60% = 45,000 EUP For conversion, it's 75,000 units * 40% = 30,000 EUP

  2. Calculate the equivalent units for the units started and completed this period: Since these units were started and completed within the same period, they count as full units for both direct materials and conversion. So, it's 885,000 units * 100% = 885,000 EUP for both direct materials and conversion.

  3. Calculate the equivalent units for the ending work in process inventory: For direct materials, it's 90,000 units * 80% = 72,000 EUP For conversion, it's 90,000 units * 30% = 27,000 EUP

  4. Add up the equivalent units from steps 1, 2, and 3 to get the total equivalent units of production: For direct materials, it's 45,000 EUP + 885,000 EUP + 72,000 EUP = 1,002,000 EUP For conversion, it's 30,000 EUP + 885,000 EUP + 27,000 EUP = 942,000 EUP

So, none of the multiple-choice options provided are correct. The correct answer should be 1,002,000 EUP for direct materials and 942,000 EUP for conversion.

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