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Costs per Equivalent Unit and Production Costs The following information concern

ID: 2466300 • Letter: C

Question

Costs per Equivalent Unit and Production Costs

The following information concerns production in the Forging Department for September. All direct materials are placed into the process at the beginning of production, and conversion costs are incurred evenly throughout the process. The beginning inventory consists of $92,020 of direct materials.

ACCOUNT Work in Process—Forging Department

ACCOUNT NO.

Date

Item

Debit

Credit

Balance

Debit

Credit

Sept.

1

Bal., 8,600 units, 60% completed

104,404

30

Direct materials, 78,000 units

819,000

923,404

30

Direct labor

84,060

1,007,464

30

Factory overhead

116,090

?

1,123,554

30

Goods finished, ? units

?

30

Bal., 6,900 units, 80% completed

?

Based on the above data, determine each of the following amounts.

If required, round your interim calculations to two decimal places. Round final answers (a-c) to the nearest dollar.

a. Cost of beginning work in process inventory completed in September.
$

b. Cost of units transferred to the next department during September.
$

c. Cost of ending work in process inventory on September 30.
$

d. Costs per equivalent unit of direct materials and conversion included in the September 1 beginning work in process. If required, round your answers to two decimal places.

Direct materials cost per equivalent unit

$

Conversion cost per equivalent unit

$

e. The September increase or decrease in costs per equivalent unit for direct materials and conversion from the previous month. If required, round your answers to two decimal places.

Increase or Decrease

Amount

Change in direct materials cost per equivalent unit

Decrease

Decrease

Increase

$

Change in conversion cost per equivalent unit

Increase

Decrease

Increase

$

ACCOUNT Work in Process—Forging Department

ACCOUNT NO.

Date

Item

Debit

Credit

Balance

Debit

Credit

Sept.

1

Bal., 8,600 units, 60% completed

104,404

30

Direct materials, 78,000 units

819,000

923,404

30

Direct labor

84,060

1,007,464

30

Factory overhead

116,090

?

1,123,554

30

Goods finished, ? units

?

30

Bal., 6,900 units, 80% completed

?

Explanation / Answer

Equivalent units:

a) Cost of beginning work in process inventory completed in September.
Opening cost of WIP = $104404

+ addition made 3440 * 2.50 = $8600

Total completed cost of Opening WIP = $113004

b) Cost of units transferred to the next department during September:

Opening WIP - TOTAL cost = $113004

+ Units introduced and completed:

71100 * (10.50 + 2.50) = $924300

Total cost of transfered units = $1037304

c) Cost of ending work in process inventory on September 30:

6900 * 10.50 + 5520 * 2.50 = $86250

d) Cost per unit of material and conversion costs at Beginning WIP:

Material = 92020 / 8600 = $10.70   

conversion costs = 12384 / 8600 * 0.60 = $2.40

e) Change in direct materials cost per equivalent unit Decrease by $0.20

Change in conversion cost per equivalent unit Increase by $0.10

Physical units Material Conversion cost Opening WIP 8600 - 3440 (40%) Units introduced and Finished 71100 71100 71100 Units transferred to next department 79700 Ending WIP 6900 6900 5520 (80%) Equivalent units 78000 80060 Costs incurred 819000 200150 Cost per equivalent unit $10.50 $2.50