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Answer:
1. Grinding Department's equivalent units of production for materials and conversion in May.
materials : 395,000
conversion : 368,600
2. Grinding Department's costs per equivalent unit for materials and conversion for May.
materials : $2.35
conversion : $1.00
3. Grinding Department's cost of ending work in process inventory for materials, conversion, and in total for May.
materials : $2.35×88,000 = $206,800
conversion : $1.00×61,600 = $ 61,600
Total : = $268,400
4. Grinding Department's cost of units transferred out to the Mixing Department for materials, conversion, and in total for May.
materials : $2.35×307,000 = $ 721,450
conversion : $1.00×307,000 = $ 307,000
Total : = $1,028,450
Explanation:
1. Grinding Department's equivalent units of production for materials and conversion in May.
materials
Closing Work In Process Inventory 100% = 88,000
Completed and Transferred 100% = 307,000
Total = 395,000
conversion
Closing Work In Process Inventory 70% = 61,600
Completed and Transferred 100% = 307,000
Total = 368,600
2. Grinding Department's costs per equivalent unit for materials and conversion for May.
costs per equivalent unit = Total Cost / Total equivalent units
materials = ( $709,250+$219,000)/395,000
= $2.35
conversion = ( $280,600+$88,000)/368,600
= $1.00
3. Grinding Department's cost of ending work in process inventory for materials, conversion, and in total for May.
materials : $2.35×88,000 = $206,800
conversion : $1.00×61,600 = $ 61,600
Total : = $268,400
4. Grinding Department's cost of units transferred out to the Mixing Department for materials, conversion, and in total for May.
materials : $2.35×307,000 = $ 721,450
conversion : $1.00×307,000 = $ 307,000
Total : = $1,028,450
The various balances for the period are as follows:
1. Grinding Department's equivalent units of production:
- For materials : 395,000
- For conversion : 368,600
2. Grinding Department's costs per equivalent unit:
- For materials : $2.35
- For conversion : $1.00
3. Grinding Department's cost of ending work in process inventory:
- For materials : $206,800
- For conversion : $61,600
- Total : $268,400
4. Grinding Department's cost of units transferred out to the Mixing Department:
- For materials : $721,450
- For conversion : $307,000
- Total : $1,028,450
Computations:
1. Grinding Department's equivalent units of production for materials and conversion in May.
[tex]\begin{aligned}\text{Equivalent Unit of Production (Material) }&=[100\%\;\text{Closing WIP Inventory}\\&+\;100\%\;\text{Completed and Transferred}]\\&=88,000+307,000\\&=395,000\end{aligned}[/tex]
[tex]\begin{aligned}\text{Equivalent Unit of Production (Conversion) }&=[70\%\;\text{Closing WIP Inventory}\\&+\;100\%\;\text{Completed and Transferred}]\\&=61,600+307,000\\&=368,600\end{aligned}[/tex]
2. Grinding Department's costs per equivalent unit for materials and conversion for May.
[tex]\begin{aligned}\text{Cost per Equivalent Unit (Materials)}&=\dfrac{\text{Total Cost}}{\text{Total Equivalent Units}}\\&=\dfrac{\$709,250+\$219,000}{395,000}\\&=\$2.35\end{aligned}[/tex]
[tex]\begin{aligned}\text{Cost per Equivalent Unit (Conversion)}&=\dfrac{\text{Total Cost}}{\text{Total Equivalent Units}}\\&=\dfrac{\$280,600+\$88,000}{368,600}\\&=\$1.00\end{aligned}[/tex]
3. Grinding Department's cost of ending work in process inventory for materials, conversion, and in total for May.
[tex]\begin{aligned}\text{Cost of Ending WIP Inventory (Materials)}&=\text{Ending Inventory}\times\text{Cost per Equivalent Unit}\\&=88,000\times\$2.35\\&=\$206,800\end{aligned}[/tex]
[tex]\begin{aligned}\text{Cost of Ending WIP Inventory (Conversion)}&=\text{Ending Inventory}\times\text{Cost per Equivalent Unit}\\&=61,600\times\$1.00\\&=\$61,600\end{aligned}[/tex]
4. Grinding Department's cost of units transferred out to the Mixing Department for materials, conversion, and in total for May.
[tex]\begin{aligned}\text{Cost of Units Transferred Out (Materials)}&=\text{Units Transferred}\times\text{Cost per Equivalent Unit}\\&=307,000\times\$2.35\\&=\$721,450\end{aligned}[/tex]
[tex]\begin{aligned}\text{Cost of Units Transferred Out (Conversion)}&=\text{Units Transferred}\times\text{Cost per Equivalent Unit}\\&=307,000\times\$1.00\\&=\$307,000\end{aligned}[/tex]
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