Question

Beginning work in process inventory: Units in beginning work in process inventory500 Materials costs$ 7,800 Conversion costs$ 9,100 Percent complete with respect to materials85% Percent complete with respect to conversion55% Units started into production during the month7,000 Units transferred to the next department during the month6,100 Materials costs added during the month$ 102,700 Conversion costs added during the month$ 184,400 Ending work in process inventory: Units in ending work in process inventory1,400 Percent complete with respect to materials60% Percent complete with respect to conversion50% The cost per equivalent unit for materials for the month in the first processing department is closest to:

Answer 1

$15.76

Step-by-step explanation:

beginning WIP 500 units

materials 85% complete, so 15% added during the period (EUP during current month = 75 units)

conversion costs 55% complete, so 45% added during the period (EUP during current month = 225 units)

units started 7,000

units transferred out 6,100

units started and transferred out = 6,100 - 500 = 5,600 (EUP = 5,600 units)

ending WIP 1,400 units

materials 60% complete (EUP = 840 units)

conversion costs 50% complete (EUP = 700 units)

materials cost for the month = $102,700

total EUP for the month = 6,515 units

total cost per EUP for materials = $102,700 / 6,515 = $15.7636 ≈ $15.76