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PLEASE SHOW WORK! The Morgan Models company manufacturers replica plastic airpla

ID: 2465345 • Letter: P

Question

PLEASE SHOW WORK!

The Morgan Models company manufacturers replica plastic airplane and motorized vehicle models. During October, the firm's Assembly Department started production of 60,000 models. During the month, the firm completed 66,000 models, and transferred them to the Finishing Department. The firm ended the month with 22,000 models in ending inventory. There were 28,000 models in beginning inventory. All direct materials costs are added at the beginning of the production cycle and conversion costs are added uniformly throughout the production process. The FIFO method of process costing is used by Morgan. Beginning work in process was 25% complete as to conversion costs, while ending work in process was 50% complete as to conversion costs.

Beginning inventory:

      Direct materials costs       $39,200

      Conversion costs              $30,800

Manufacturing costs added during the accounting period:

      Direct materials costs       $90,000

      Conversion costs            $280,000

A) How many of the units that were started during October were completed during October?

B) What were the equivalent units for conversion costs during October?

C) What is the amount of direct materials cost assigned to ending work-in-process inventory at the end of October?

Explanation / Answer

Solution:

A) How many of the units that were started during October were completed during October?

Since company is following FIFO method, then the beginning inventory of October completed first and then introduced units during October month. Here is the statement of units completed and introduced during the month according to FIFO method:

Input

Units

Output

Units

Beginning Inventory

28,000

Completed and Transferred to Finishing Department

Units introduced during the month

60,000

   -- Beginning Inventory

28,000

   -- Introduced during the month

38,000

66,000

Ending Inventory

22,000

88,000

88,000

The number of units that were started during October were completed during October = 38,000 Units

B) What were the equivalent units for conversion costs during October?

Output

Units

For Conversion Cost

Completion %

Equivalent Units

Completed and Transferred to Finishing Department

   -- Beginning Inventory

28,000

75%

21,000

   -- Introduced during the month

38,000

100%

38,000

66,000

Ending Inventory

22,000

50%

11,000

88,000

70,000

Equivalent Units for Conversion Costs during October = 70,000 Units

C) What is the amount of direct materials cost assigned to ending work-in-process inventory at the end of October?

Under FIFO Method, proportionate cost to complete the opening work-in-progress and that to process the completely processed units during the period are derived separately.

The cost of opening work-in-progress is added to the proportionate cost incurred on completing the same to get the complete cost of such units. Complete cost of such units plus cost of units completely processed constitute the total cost of units transferred.

- In this method the closing stock of Work in progress is valued at current cost.

Calculation of Cost per Equivalent units for Direct Material and Conversion Cost for the current period

Direct Material

Conversion Cost

Cost of the Process (for the period)

$90,000

$280,000

Equivalent Completed Units

-- For Direct Material (38,000 + 22,000)

60,000

$47,000

-- For Conversion Cost (38,000 + 9,000)

Cost Per Equivalent Unit

$1.50

$5.95745 or $5.96

Ending Inventory

100% Complete with respect to Direct Material

50% Complete with respect to Conversion Cost

Valuation of Ending Inventory

Direct Material (22,000 Units x $1.50) = $33,000

Conversion Cost (9,000 Units x $5.96 = $53,640

Total Value of Ending Inventory = $33,000 + $53,640 = $86,640

Input

Units

Output

Units

Beginning Inventory

28,000

Completed and Transferred to Finishing Department

Units introduced during the month

60,000

   -- Beginning Inventory

28,000

   -- Introduced during the month

38,000

66,000

Ending Inventory

22,000

88,000

88,000

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