Atlantic Manufacturing Company uses process costing. All materials are added at the beginning of the process. The normal spoilage rate is calculated as 10% of good units completed.The cost of the beginning work-in-process in the Month of May is $3,000,000, including$1,600,000 of input of materials, 100,000 units, and $1,400,000 for conversion costs. The beginning work-in-process is 70% complete.During May, the input includes $7,400,000 for materials, 800,000 units started and $4,190,000 for conversion costs. There were 700,000 good units finished. In addition, the ending work-in- process in May is 100,000 units with 60% complete. The abnormal spoilage is 30,000 units. All spoilage occurred when all processing was complete, at the final inspection.Required: Use the weighted-average method to calculate:(a) The dollar value of abnormal spoilage.(b) The cost of the good units finished.(c) The cost of ending work-in-process inventory.

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Answer:

(a) The dollar value of abnormal spoilage.

$499,317.

(b) The cost of the good units finished.

$12,669,193.

(c) The cost of ending work-in-process inventory

$1,421,491.

The complete solution of the problem is attached with an excel spreadsheet.

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Amount of abnormal spoilage and Per unit cost and Closing WIP are $495,000 , $18.86, $1,390,000

Material units = Opening WIP + Input

Material units = 100,000 + 800,00

Material units = 900,000

Material value = Opening WIP + Input

Material value = $1,600,000 + $7,400,000

Material value = $9,000,000

Processing cost unit = Opening WIP + Input

Processing cost unit = [100,000 × 70%] + [(100,000 × 30%) + (700,000 × 100%) + (100,000  × 60%)]

Processing cost unit = 860,000

Processing cost value = Opening WIP + Input

Processing cost value = $1,400,000 + 4,190,000

Processing cost value = $5,590,000

Weighted average cost of material = $9,000,000 / 900,000

Weighted average cost of material = $10

Weighted average Processing cost = $5,590,000 / 860,000

Weighted average Processing cost = $6.5

Case: 1

Amount of abnormal spoilage  = Abnormal spoilage × Weighted average cost

Amount of abnormal spoilage  =  30,000 × ($10 + $6.5)

Amount of abnormal spoilage  = $495,000

Case: 2

Cost of Good Units produced  = Total consumed + Total Processing cost  

Cost of Good Units produced = [(100,000 + 800,000 - 100,000) × $10] + (800,000 × $6.5)

Cost of Good Units produced  = $8,000,000 + $5,200,000  

Cost of Good Units produced  = $13,200,000  

Per unit cost = $13,200,000 / 700,000

Per unit cost = $18.86

Case: 3

Closing WIP  = Cost closing WIP + Value of Processing WIP

Closing WIP = (100,000 × $10) + (100,000 ×  60% × $6.5)  

Closing WIP = $1,000,000 + $390,000

Closing WIP = $1,390,000

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