Question

Bentwood Corporation uses the FIFO method in its process costing system. Data concerning the first processing department for the most recent month are listed below:

Beginning work-in-process inventory:
Units in beginning work-in-process inventory 1,700
Materials costs $32,300
Conversion costs $18,700
Percent complete with respect to materials 70%
Percent complete with respect to conversion 25%
Units started into production during the month 8,900
Units transferred to the next department during the month 7,700
Materials costs added during the month $154,600
Conversion costs added during the month $253,900
Ending work-in-process inventory:
Units in ending work-in-process inventory 2,900
Percent complete with respect to materials 80%
Percent complete with respect to conversion 35%
The cost per equivalent unit for conversion costs for the first department for the month is closest to:____.
a. $29.33.
b. $29.00.
c. $31.78.
d. $35.51.

Answer 1

$31.28

Step-by-step explanation:

Calculation to determine what The cost per equivalent unit for conversion costs for the first department for the month is closest to:

First step is to calculate the Total Conversion Cost

Total Conversion Cost=$253,900+$18,700

Total Conversion Cost=$$272,600

Second step is to calculate the Equivalent Units

Equivalent Units =( 7,700 x 100%) + (1,700 + 8,900 - 7,700 ×35%)

Equivalent Units =( 7,700 x 100%) + (2,900 x 35 %)

Equivalent Units =7,700+1,015

Equivalent Units = 8,715 units

Now let calculate the Cost per Equivalent Units using this formula

Cost per Equivalent Unit = Total Cost ÷ Total Equivalent Units

Cost per Equivalent Unit = $272,600 ÷ 8,715 units

Cost per Equivalent Unit = $31.28

Therefore The cost per equivalent unit for conversion costs for the first department for the month is closest to:$31.28