Answer:
Production Cost Report
INPUTS
units costs
Beginning Inventory
Units 4,100
Cost at the beginning $62,744
Incurred during the period :
Units started 16,800
Materials $124,320
Conversion costs $238,420
Total 20,900 $425,484
OUTPUTS
Completed and transferred 15,600 $302,952
Ending Work in Process 5,300 $90,185
Total 20,900 $393,137
Step-by-step explanation:
Note : I will use the FIFO method for this question since the information given is only suitable for this method.
Assembly Department
First, calculate the equivalent units of production with respect to materials and conversion costs :
1.Materials
To finish Opening Work In Process (4,100x0%) = 0
Started and Completed ((15,600 - 4,100) x100%) = 11,500
Ending Work In Process (5,300x 100%) = 5,300
Equivalent units with respect to materials = 16,800
2.Conversion costs
To finish Opening Work In Process (4,100x60%) = 2,460
Started and Completed ((15,600 - 4,100) x100%) = 11,500
Ending Work In Process (5,300x 80%) = 4,240
Equivalent units with respect to conversion costs = 19,840
Next, calculate the total costs with respect to materials and conversion costs :
1. Materials
FIFO method only accounts for costs incurred during the period
Costs Incurred during the period = $124,320
Total Material costs = $124,320
2. Conversion Costs
FIFO method only accounts for costs incurred during the period
Costs Incurred during the period ($140,000 + $98,420) = $238,420
Total Conversion costs = $238,420
Next, calculate the cost per equivalent unit of materials, conversion costs and in total
1. Materials
Cost per equivalent = Total Costs / Total Equivalent Units
Therefore,
Cost per equivalent = $124,320/ 16,800
= $7.40
2. Conversion Costs
Cost per equivalent = Total Costs / Total Equivalent Units
Therefore,
Cost per equivalent = $238,420/ 19,840
= $12.02
3. Total
Total unit cost = materials unit cost + Conversion unit cost
= $7.40 + $12.02
= $19.42
Finally, calculate the total cost of units completed and transferred out and units still in process
1. units completed and transferred out
Total cost = units completed and transferred out x total unit cost
= 15,600 units x $19.42
= $302,952
2. units still in process
Total cost = material costs + conversion costs
= 5,300 x $7.40 + 4,240 x $12.02
= $90,184.80
Production Cost Report
INPUTS
units costs
Beginning Inventory
Units 4,100
Cost at the beginning $62,744
Incurred during the period :
Units started 16,800
Materials $124,320
Conversion costs $238,420
Total 20,900 $425,484
OUTPUTS
Completed and transferred 15,600 $302,952
Ending Work in Process 5,300 $90,185
Total 20,900 $393,137