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Production data: Pounds in process, May 1; materials 100% complete; conversion 90% complete 88,000 Pounds started into production during May 530,000 Pounds completed and transferred out ? Pounds in process, May 31; materials 60% complete; conversion 40% complete 65,000 Cost data: Work in process inventory, May 1: Materials cost $ 106,000 Conversion cost $ 59,700 Cost added during May: Materials cost $ 551,120 Conversion cost $ 328,230 Required: 1. Compute the equivalent units of production for materials and conversion for May. 2. Compute the cost per equivalent unit for materials and conversion for May. 3. Compute the cost of ending work in process inventory for materials, conversion, and in total for May.

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Answer:

1. materials = 569,000 units , conversion = 556,000 units

2. materials = $1.15 , conversion = $0.70

3. materials = $44,850 , conversion = $18,200 , total = $63,050

Step-by-step explanation:

For this question, i will assume that the Weighted Average Cost Method is used since we do not have information on the specific method applied by this company.

Calculation of the equivalent units of production for materials and conversion.

1. Materials

Closing Work in Process (65,000 × 60%) = 39,000

Completed and Transferred to Finished Goods = 530,000

Equivalent units of production for materials = 569,000

2. Conversion Costs

Closing Work in Process (65,000 × 40%) = 26,000

Completed and Transferred to Finished Goods = 530,000

Equivalent units of production for materials = 556,000

Calculation of the cost per equivalent unit for materials and conversion

Remember :

Cost per equivalent unit = Total Costs ÷ Total Equivalent units

therefore,

1. Materials

Cost per equivalent unit = ($ 106,000 + $ 551,120) ÷ 569,000

= $1.15

2. Conversion Costs

Cost per equivalent unit = ($ 59,700 + $ 328,230) ÷ 556,000

= $0.70

Calculation of the cost of ending work in process inventory for materials, conversion, and in total

Materials ($1.15 × 39,000) = $44,850

Conversion Costs ($0.70 × 26,000) = $18,200

Total cost of ending work in process = $63,050

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