Alvis Construction Supply Company has a department that manufactures wood trusses (wood frames used in the construction industry). The following information is for the production of these trusses for the month of February:
Work-in-process inventory, February 1 4,000 trusses
Direct materials: 100% complete $10,480
Conversion: 20% complete $15,258
Units started during February 18,000 trusses
Units completed during February and transferred out 17,000 trusses
Work-in-process inventory, February 29
Direct materials: 100% complete
Conversion: 40% complete
Costs incurred during February
Direct materials $59,040
Conversion $92,092
Required:
Using the FIFO method, calculate the following:
1. Costs per equivalent unit.
2. Cost of goods completed and transferred out.
3. Cost remaining in the ending work-in-process inventory.

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Answer:

Part 1

M = $3.28

C = $5.06

Part 2

$141,780

Part 3

$26,520

Explanation:

1. Costs per equivalent unit.

Step 1 ; Equivalent units

Materials = 4,000 x 0 % + 13,000 x 100 % + 5,000 x 100 % = 18,000 units

Conversion Costs = 4,000 x 80 % + 13,000 x 100 % + 5,000 x 40 % = 18,200 units

Step 2 : Cost per Equivalent units

Materials = $59,040 / 18,000 units = $3.28

Conversion Costs = $92,092 / 18,200 units = $5.06

Total = $3.28 + $5.06 = $8.34

2. Cost of goods completed and transferred out.

Cost of goods completed and transferred out = 17,000 trusses x $8.34 = $141,780

3. Cost remaining in the ending work-in-process inventory.

Ending work-in-process inventory = $3.28 x 5,000 + $5.06 x 2,000 = $26,520

Cost of manufacturing is the total cost incurred by the manufacturing unit or the entire department for the production of goods. It is classified into three main categories: direct material cost, direct labor cost, and manufacturing overhead.

Using the FIFO method, the answers are:

1. Cost per equivalent unit:

For the material is $3.28

For the conversion is $5.06

2. Cost of goods completed and transferred out is $141,780

3. Cost remaining in the ending work-in-process inventory is $26,520

Computations:

1. Cost per equivalent unit:

Material:

[tex]\begin{aligned}\text{Cost per equivalent unit}&=\frac{\text{Total Cost}}{\text{Equivalent Units}}\\&=\frac{\$59,040}{18,000\;\text{units}}\\&=\$3.28\end{aligned}[/tex]

Conversion:

[tex]\begin{aligned}\text{Cost per equivalent unit}&=\frac{\text{Total Cost}}{\text{Equivalent Units}}\\&=\frac{\$92,092}{18,200\;\text{units}}\\&=\$5.06\end{aligned}[/tex]

[tex]\begin{aligned}\text{Total cost per equivalent unit}&=\text{Cost per unit for material}+\text{Cost per unit for conversion}\\&=\$3.28+\$5.06\\&=\$8.34\end{aligned}[/tex]

2. Cost of goods completed and transferred out:

[tex]\begin{aligned}\text{Cost of goods completed}&=\text{Units Completed}\times\text{Total Cost of equivalent units}\\&=17,000\;\text{trusses}\times\$8.34\\&=\$141,780\end{aligned}[/tex]

3. Cost of remaining ending work in process inventory:

[tex]\begin{aligned}\text{Ending Work in Process Inventory}&=[\left( \text{Costs per equivalent unit for material}\times\text{Units}\right )\\&+\left( \text{Costs per equivalent unit for conversion}\times\text{Units}\right )]\\&=\left(\$3.28\times5,000\;\text{units}\right )+\left(\$5.06\times2,000\;\text{units} \right ) \\&=\$26,520\end{aligned}[/tex]

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