Question

Richards Corporation uses the FIFO method of process costing. The following information is available for October in its Fabricating Department: Units: Beginning Inventory: 98,000 units, 80% complete as to materials and 20% complete as to conversion. Units started and completed: 268,000. Units completed and transferred out: 366,000. Ending Inventory: 39,000 units, 30% complete as to materials and 15% complete as to conversion. Costs: Costs in beginning Work in Process - Direct Materials: $55,200. Costs in beginning Work in Process - Conversion: $97,700. Costs incurred in October - Direct Materials: $844,050. Costs incurred in October - Conversion: $937,300. Calculate the cost per equivalent unit of materials.

Answer 1

Cost per equivalent unit Materials = $ 2.82

Cost per equivalent unit Conversion = $2.65

Step-by-step explanation:

Richards Corporation

1) We first calculate the fifo equivalent units .

FIFO Equivalent units can be calculated by the following.

Particulars Units % of Completion Equivalent Units

Mat. Con. Costs Materials C. Costs

Transferred out, 366,000 100 100 366,000 366,000

Ending inventory, 39,000 30 15 11700 5850

Total Weighted Equivalent Units 377,700 371,850

Less

Beginning Inventory: 98,000, 80% 20% 78,400 18000

FIFO Equivalent Units 299,300 353,850

2) We calculate the total costs

Direct Materials Conversion

Costs in beginning Work in Process -$55,200 $97,700

Costs incurred in October - $844,050 $937,300.

Total Cost $ 899250 1035,000

3) In FIFO The cost per unit is based only on the current costs and current period unit productions.

Materials = $844050/299300= $2.82

Conversion = 937,300 / 353,850 = 2.6488= $2.65