Answer:
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Step-by-step explanation:
To determine the equivalent units of production for each cost component in each department, we need to consider the percentage of completion for both material and conversion for each unit.
Let's calculate the equivalent units for each cost component in each department:
Fabrication Department:
1. Material:
- Beginning WIP inventory: 100% complete, so equivalent units = 100% of 5,000 units = 5,000 units
- Units started during the month: All units started during the month are considered fully completed for material, so equivalent units = 39,000 units
- Ending WIP inventory: 100% complete, so equivalent units = 100% of 6,800 units = 6,800 units
2. Conversion:
- Beginning WIP inventory: 45% complete, so equivalent units = 45% of 5,000 units = 2,250 units
- Units started during the month: All units started during the month are considered fully completed for conversion, so equivalent units = 39,000 units
- Ending WIP inventory: 80% complete, so equivalent units = 80% of 6,800 units = 5,440 units
Assembly Department:
1. Material:
- Beginning WIP inventory: 100% complete, so equivalent units = 100% of 1,500 units = 1,500 units
- Units started during the month: All units started during the month are considered fully completed for material, so equivalent units = 4,600 units
- Ending WIP inventory: 100% complete, so equivalent units = 100% of 0 units (no ending WIP inventory) = 0 units
2. Conversion:
- Beginning WIP inventory: 15% complete, so equivalent units = 15% of 1,500 units = 225 units
- Units started during the month: All units started during the month are considered fully completed for conversion, so equivalent units = 4,600 units
- Ending WIP inventory: 75% complete, so equivalent units = 75% of 0 units (no ending WIP inventory) = 0 units
Therefore, the equivalent units of production for each cost component in each department are as follows:
Fabrication Department:
- Material: 5,000 units + 39,000 units + 6,800 units = 50,800 units
- Conversion: 2,250 units + 39,000 units + 5,440 units = 46,690 units
Assembly Department:
- Material: 1,500 units + 4,600 units + 0 units = 6,100 units
- Conversion: 225 units + 4,600 units + 0 units = 4,825 units