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At the beginning of the month, the Painting Department of Skye Manufacturing had 20,000 units in inventory, 70% complete as to materials, and 20% complete as to conversion. The cost of the beginning inventory, $28,650, consisted of $22,400 of material costs and $6,250 of conversion costs. During the month the department started 115,000 units and transferred 120,000 units to the next manufacturing department. Costs added in the current month consisted of $229,600 of materials costs and $540,500 of conversion costs. At the end of the month, the department had 15,000 units in inventory, 40% complete as to materials and 10% complete as to conversion. If Skye Manufacturing uses the weighted average method of process costing, compute the costs per equivalent unit of materials and conversion respectively for the Painting Department.

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Answer:

Cost per EUP Materials: $2,00

Cost per EUP Conversion: $4,50

Step-by-step explanation:

Materials Conversion

Beginning WIP Cost $22,400 $6,250

Cost added in the period $229,600 $540,500

Total Cost of the Units $252,000 $546,750

Equivalent Units of Production (EUP): Completed Units + Ending WIP Units

EUP Materials = 120,000 + 15,000 x 40% = 126,000

EUP Conversion = 120,000 + 15,000 x 10% = 121,500

Cost per Equivalent Unit: Cost of Units / EUP

Cost per EUP Materials: $252,000 / 126,000 = $2,00

Cost per EUP Conversion: $546,750 / 121,500 = $4,50

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