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Department G had 3,600 units 25% completed at the beginning of the period, 11,000 units were completed during the period, 3,000 units were 20% completed at the end of the period, and the following manufacturing costs were debited to the departmental work in process account during the period: Work in process, beginning of period $40,000 Costs added during period: Direct materials (10,400 units at $8) 83,200 Direct labor 63,000 Factory overhead 25,000 All direct materials are placed in process at the beginning of production, and the first-in, first-out method of inventory costing is used. What is the total cost of 3,600 units of beginning inventory that were completed during the period (do not round unit cost calculations)?

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Answer:

Total value of beginning WIP: 62,205.61

Step-by-step explanation:

"first-in, first-out method of inventory costing is used"

From the current cost assing for the beginning WIP we will add the cost added to end this units.

Equivalent units conversion cost:

complete units: 11,000

work on beginning WIP inventory: 3,600 x 25% = (900)

work on ending WIP invenotry: 3,000 x 20% = 600

Equivalent Units for Conversion Cost 10,700

Conversion cost per unit: 63,000 labor + 25,000 overhead

Total 88,000

Cost per equivalent units: 88,000 / 10,700 = 8,22429 = 8.2243

Beginning Inventory:

Beginning Cost: 40,000

Conversion Cost added:

3,600 x 75% x 8.2243 = 22.205,6075

Total value of beginning WIP: 62,205.61

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