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Inacio Corporation uses the weighted-average method in its process costing syste

ID: 2432919 • Letter: I

Question

Inacio 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:

The cost per equivalent unit for materials for the month in the first processing department is closest to:

Multiple Choice

$14.78

$15.09

$16.03

$16.54

Beginning work in process inventory: Units in beginning work in process inventory 1,400 Materials costs $ 13,500 Conversion costs $ 5,600 Percent complete with respect to materials 75 % Percent complete with respect to conversion 20 % Units started into production during the month 10,100 Units transferred to the next department during the month 9,000 Materials costs added during the month $ 172,600 Conversion costs added during the month $ 242,600 Ending work in process inventory: Units in ending work in process inventory 2,500 Percent complete with respect to materials 90 % Percent complete with respect to conversion 30 %

Explanation / Answer

Calculation of equivalent units completed

Particulars

No of units

materials

conversion costs

%

Units

%

Units

Beginning inventory

                         1,400

75%

             1,050

20%

                280

Beginning inventory processed during the period

                         1,400

25%

                350

80%

             1,120

Units completed and transferred to next unit (9,000-1,400)

                         7,600

100%

             7,600

100%

             7,600

Closing stock

                         2,500

90%

             2,250

30%

                750

Weighted average Equivalent units processed (A)

          11,250

             9,750

Opening stock balance

           13,500

             5,600

Costs incurred

       1,72,600

       2,42,600

Total (B)

       1,86,100

       2,48,200

Weighted average cost per unit (B/A)

             16.54

             25.46

Ans) cost per equivalent unit $16.54 (Option (D) is correct)

Calculation of equivalent units completed

Particulars

No of units

materials

conversion costs

%

Units

%

Units

Beginning inventory

                         1,400

75%

             1,050

20%

                280

Beginning inventory processed during the period

                         1,400

25%

                350

80%

             1,120

Units completed and transferred to next unit (9,000-1,400)

                         7,600

100%

             7,600

100%

             7,600

Closing stock

                         2,500

90%

             2,250

30%

                750

Weighted average Equivalent units processed (A)

          11,250

             9,750

Opening stock balance

           13,500

             5,600

Costs incurred

       1,72,600

       2,42,600

Total (B)

       1,86,100

       2,48,200

Weighted average cost per unit (B/A)

             16.54

             25.46

Ans) cost per equivalent unit $16.54 (Option (D) is correct)