Question

Corporation uses the weighted-average 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 1,500 Materials costs $ 7,900 Conversion costs $ 3,200 Percent complete with respect to materials 55 % Percent complete with respect to conversion 25 % Units started into production during the month 7,400 Units completed and transferred to the next department during the month 6,600 Materials costs added during the month $ 111,000 Conversion costs added during the month $ 84,100 Ending work in process inventory: Units in ending work in process inventory 2,300 Percent complete with respect to materials 70 % Percent complete with respect to conversion 55 % The total cost of units completed and transferred from the first processing department to the next processing department during the month is closest to

Answer 1

Answer:

$174,781.20

Explanation:

I will do the calculations in 3 stages. You won`t go wrong if you follow these.

1. Equivalent Units
2. Total Unit Cost
3. Total Cost to be transferred to next department

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

1. Raw Materials

Ending Work In Process Inventory (2,300 × 70 %)                          =  1,610

Completed and Transferred to Finished Goods (6,600 × 100%)   = 6,600

Equivalent Units of Production with respect to Raw Materials       = 8,210

2. Conversion Costs

Ending Work In Process Inventory (2,300 × 55 %)                           = 1,265

Completed and Transferred to Finished Goods (6,600 × 100%)    = 6,600

Equivalent Units of Production with respect to Conversion Costs = 7,865

Calculation of Total Unit Cost of Production with respect to Raw Materials and Conversion Costs.

Unit Cost = Total Cost (Beginning + Current) ÷ Total Equivalent Units

1. Materials

Unit Cost = ( $ 7,900 + $ 111,000) ÷ 8,210

                = $14.482 (3 decimal places)

2. Conversion Cost

Unit Cost = ( $ 3,200 + $ 84,100) ÷ 7,865

                = $12.00 (3 decimal places)

3. Total Unit Cost

Total Unit Cost = Materials + Conversion Costs

                         = $14.482 + $12.00

                         = $ 26.482

Calculation of total cost of units completed and transferred from the first processing department to the next processing department

Total Cost = Units Completed and Transferred × Total Unit Cost

                 = 6,600 × $ 26.482

                 = $174,781.20