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Process Costing using the FIFO Method A process cost system is used when a company produces...

Process Costing using the FIFO Method

A process cost system is used when a company produces a product that is homogeneous-that is, individual units are indistinguishable from each other.

Costs flow from one production department to the next and materials, labor and overhead are added until the final product is moved to finished goods inventory ready to be sold. The flowchart illustrates the flow of costs into Work in Process and Finished Goods in a process costing system.

Cost Flows in Process Cost System

Materials Work in Process-Mixing Dept Work in Process-Bottling Dept Finished Goods
Beg Inventory
+ Purchases Direct Materials
End Inventory
Beg Inventory Cost of Units
+ Direct Materials transferred out
+ Direct Labor
+ Factory Overhead
applied
End Inventory
Beg Inventory Cost of Units
+ Cost of units transferred out
transferred in
+ Direct Labor
+ Factory Overhead
applied
End Inventory
Beg Inventory
+ Cost of units Cost of Goods
transferred in Sold
End Inventory
                       Factory Overhead
Actual Factory Overhead:
+ utilities expense Factory overhead
+ depreciation of machinery applied
+ supplies

Production costs are assigned to the units transferred out of WIP and to the units in ending WIP by multiplying the equivalent units by the per-unit cost. The following steps are involved:

1. Compute the equivalent units of production

2. Determine the cost per equivalent unit

3. Assign costs to ending WIP and cost of goods transferred out

Consider the T account showing the detail costs and units in the Mixing Dept using the FIFO costing method.

Work in Process-Mixing Dept
$Amt #units %completed $Amt #units %completed
Beg Inventory $5,566 4,600 70%
+ Cost of units Units transferred out $87,837 63,600 100%
transferred in $64,978 61,300
+ Direct Labor $11,200
+ Factory Overhead $6,720
applied
End Inventory: $627 2,300 20%
Inventory in process, July 1, 4,600 units (70% complete) $ 5,566
Direct materials cost incurred in July, 61,300 units 64,978
Direct labor cost incurred in the period 11,200
Factory overhead applied in the period 6,720
  Total production costs to account for $ 88,464

63,600 units were completed and transferred out

2,300 units remain in WIP, 20% complete

Total whole units to account for:
Beginning WIP 4,600
Started & completed 59,000
Ending WIP 2,300
65,900
Beginning inventory 4,600
Units transferred in 61,300
65,900
Equivalent units:   Cost of WIP:
Beginning WIP x 30% 1,380 $ 1,880 $ 1,880
Started & completed 59,000 80,391 + $5,566 = 85,957
Ending WIP x 20% 460 627 627
60,840 $ 82,898 $ 88,464

Cost per equivalent unit:

Current period costs / equivalent units

($88,464 - $5,566) / 60,840 = 1.36256

Equivalent Units
Current Period Cost

Beginning WIP
Started & completed Units

Ending WIP


Total

Cost per unitMaterials$64,9780   $ Conversion costs$17,9201,380   $ $82,898$1.3545

Ivy Manufacturing produces ketchup in a production process whereby units are indistinguishable from one another. The company uses process costing to calculate the cost of its products and also employs the FIFO method in its calculations.

The following information is available for August:

Beginning work in process
Current period
Materials $ 5,690 $ 28,942
Conversion costs 21,300 70,440
   Total costs $ 26,990 $ 99,382
Gallons of ketchup in process on August 1 (30% complete)* 12,200
Gallons of Ketchup completed and transferred out during August 48,000
Gallons of Ketchup in process on August 31 (25% complete)* 14,100
*All materials are added at the beginning of the process.

Fill in the calculation of cost per unit and the following proof using the first in, first out method. Round cost per unit to three decimal places.

Calculation of cost per unit


Cost element

Current period cost
Beginning WIP equiv. units (to be completed) Started & completed equivalent units Ending WIP equivalent Units Current total equivalent units

Cost per unit
Materials $28,942 $
Conversion costs 70,440 $
$99,382 $

Calculate the cost of:

Completed units: - Select your answer -$90037$99382$113022$126389Correct 12 of Item 2

Ending WIP: - Select your answer -$8102$8102$13367$30461Correct 13 of Item 2

Solutions

Expert Solution

Calculation of cost per unit
Cost element Current period cost A Beginning WIP equiv. units (to be completed) Started & completed equivalent units Ending WIP equivalent Units Current total equivalent units B Cost per unit A/B
Materials $28,942 0 35800 14100 49900 $0.580
(0%*12200) (48000-12200) (14100*100)
Conversion costs 70,440 8540 35800 3525 47865 $1.472
(12200*70%) (14100*25%)
$99,382
Completed and trsanfered out
Beginning WIP 26990
Conversion cost (8540*1.472) 12570.88
Total cost completed for Beg WIP 39561
Started
Material (35800*.580) 20764
Conversion cost (35800*1.472) 52697.6 73462
Completed and trsanfered out 113022
Option $113022 is the correct answer
Ending WIP
Material (14100*.580) 8178
Conversion cost (3525*1.472) 5189
Cost of Ending WIP 13367
Option $13367 is correct
Ans for Ivy manufacturing, above that the answer is already given for the first problem
If any doubt please comment

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