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

$174,781.20

Explanation:

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

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

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