Question

Pitt Enterprises manufactures jeans. All materials are introduced at the beginning of the manufacturing process in the Cutting Department. Conversion costs are incurred uniformly throughout the manufacturing process. As the cutting of material is completed, the pieces are immediately transferred to the Sewing Department. Information for the Cutting Department for the month of May follows.

Work in Process, May 1 (54,000 units, 100% complete for direct materials, 35% complete with respect to conversion costs; includes $78,500 of direct material cost; $42,050 of conversion costs).

Units started in May 233,000
Units completed in May 208,000

Work in Process, May 31 (79,000 units, 100% complete for direct materials; 15% complete for conversion costs).

Costs incurred in May

Direct materials $391,440
Conversion costs $401,900

Required:
If Pitt Enterprises uses the FIFO method of process costing, compute the cost per equivalent unit for direct materials and conversion costs respectively for May.

Answer 1

cost per equivalent unit : materials = $1.37 and conversion costs = $1.78.

Step-by-step explanation:

Please note that we have to use FIFO costing method

Calculation of the Equivalent Units of Production with respect to Materials and Conversion Costs

1. Raw Materials

To finish Beginning Work In Process (54,000 × 0%) 0

Started and Completed ((233,000 - 54,000) × 100%) 179,000

Ending Work In Process (79,000 × 100%) 79,000

Equivalent Units of Production with respect to Materials 258,000

1. Conversion Cost

To finish Beginning Work In Process (54,000 × 65%) 35,100

Started and Completed ((233,000 - 54,000) × 100%) 179,000

Ending Work In Process (79,000 × 15%) 11,850

Equivalent Units of Production with respect to Conversion 225,950

Calculation of the cost per equivalent unit for direct materials and conversion costs.

Unit Cost = Current Period Costs ÷ Equivalent units of production

1. Raw Materials

Unit Cost = $391,440 ÷ 258,000

= $1.37

2. Conversion Cost

Unit Cost = $401,900 ÷ 225,950

= $1.78