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Question: Refer to the data in Short Exercise S18-8 and your results for equivalent units of production. The Mixing Department of Complete Foods has direct materials costs of \(46,500 and conversion costs of \)23,540 for October.

Compute the cost per equivalent unit of production for direct materials and for

conversion costs.

Short Answer

Expert verified

Answer:

The cost per equivalent unit of production for direct materials is $0.75 and for the conversion cost is $0.55

Step by step solution

01

Cost per equivalent unit of production for direct material

CostperEUPfordirectmaterial=TotaldirectMaterialcostEqualentunitofproductiondirectmaterial=$46,50062,000=$0.75

02

Cost per equivalent unit of production for conversion cost


CostperEUPforconversioncost=TotalconversioncostEqualentunitofproductionforconversioncost=$23,54042,800=$0.55

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Most popular questions from this chapter

Smith Paper Co. produces the paper used by wallpaper manufacturers. Smithโ€™s four-stage process includes mixing, cooking, rolling, and cutting. On March 1, the Mixing Department had 400 rolls in process. During March, the Mixing Department completed the mixing process for those 400 rolls and also started and completed the mixing process for an additional 4,100 rolls of paper. The department started but did not finish the mixing process for an additional 500 rolls, which were 20% complete with respect to both direct materials and conversion work at the end of March. Direct materials and conversion costs are incurred evenly throughout the mixing process. The Mixing Department compiled the following data for March:

Direct materials

Direct labor

Manufacturing overhead allocated

Total costs

Beginning inventory, Mar. 1

\(475

\)275

\(300

\)1,050

Costs added during March

5,045

2,900

2,965

10,910

Total costs

\(5,520

\)3,175

\(3,265

\)11,960

Requirements

1. Prepare a production cost report for the Mixing Department for March. The company uses the weighted-average method.

2. Journalize all transactions affecting the companyโ€™s mixing process during March. Assume labor costs are accrued and not yet paid.

Happy Colors manufactures crayons in a three-step process: mixing, molding, and packaging. The Mixing Department combines the direct materials of paraffin wax and pigments. The heated mixture is pumped to the Molding Department, where it is poured into molds. After the molds cool, the crayons are removed from the molds and are transferred to the Packaging Department, where paper wrappers are added and the crayons are boxed.

In the Mixing Department, the direct materials are added at the beginning of the

process and the conversion costs are incurred evenly throughout the process. Work in process of the Mixing Department on April 1, 2018, consisted of 300 batches of crayons that were 30% of the way through the production process. The beginning balance in Work-in-Process Inventoryโ€”Mixing was \(27,800, which consisted of \)10,700 in direct materials costs and $17,100 in conversion costs. During April, 3,200 batches were started in production. The Mixing Department transferred 2,800 batches to the Molding Department in April, and 700 were still in process on April 30. This ending inventory was 80% of the way through the mixing process. Happy Colors uses FIFO process costing.

At April 30, before recording the transfer of costs from the Mixing Department

to the Molding Department, the Happy Colors general ledger included the following account:

Work-in-process inventory โ€“ Mixing

Balance, March 1

27,800

Direct materials

22,400

Direct labor

21,330

Manufacturing overhead

44,070

Requirements

1. Prepare a production cost report for the Mixing Department for April. Round

equivalent unit costs to four decimal places. Round all other costs to the nearest

dollar.

2. Journalize all transactions affecting the Mixing Department during April, including the entries that have already been posted. Assume the labor costs are accrued and not yet paid.

Question: If a company began the month with 50 units in process, started another 600 units during the month, and ended the month with 75 units in process, how many units were completed?

Billy Davidson operates Billyโ€™s Worm Farm in Mississippi. Davidson raises worms for fishing. He sells a box of 20 worms for \(12.60. Davidson has invested \)400,000 in the worm farm. He had hoped to earn a 24% annual rate of return (net income divided by total assets), which works out to a 2% monthly return on his investment. After looking at the farmโ€™s bank balance, Davidson fears he is not achieving this return. To evaluate the farmโ€™s performance, he prepared the following production cost report. The Finished Goods Inventory is zero because the worms ship out as soon as they reach the required size. Monthly operating expenses total \(2,000 (in addition to the costs below).

BILLYโ€™S WORM FARM

Production cost report โ€“ BROODING DEPARTMENT

Month Ended June 30, 2018


Equivalent units

Units

Physical units

Transferred in

Direct materials

Conversion costs

Units to account for:

Beginning WIP

9,000

Transferred in

21,000

Total units to account for

30,000

Units accounted for:

Completed and transferred out

20,000

20,000

20,000

20,000

Ending WIP

10,000

10,000

6,000

3,600

Total units accounted for

30,000

30,000

26,000

23,600

COSTS

Transferred in

Direct materials

Conversion costs

Total costs

Cost to account for:

Beginning WIP

\)21,000

\(39,940

\)5,020

\(65,960

Cost added during period

46,200

152,460

56,340

255,000

Total cost to account for

67,200

192,400

61,360

320,960

Divided by total EUP

30,000

26,000

23,600

Cost per equivalent units

\)2.24

\(7.40

\)2.60

Costs accounted for:

Completed and transferred out

\(44,800

\)148,000

\(52,000

\)244,800

Ending WIP

22,400

44,400

9,360

76,160

Total costs accounted for

\(67,200

\)192,400

\(61,360

\)320,960

Requirements

Billy Davidson has the following questions about the farmโ€™s performance during June.

1. What is the cost per box of worms sold? (Hint: This is the unit cost of the boxes completed and shipped out of brooding.)

2. What is the gross profit per box?

3. How much operating income did Billyโ€™s Worm Farm make in June?

4. What is the return on Davidsonโ€™s investment of \(400,000 for the month of

June? (Compute this as Juneโ€™s operating income divided by Davidsonโ€™s \)400,000

investment, expressed as a percentage.)

5. What monthly operating income would provide a 2% monthly rate of return?

What sales price per box would Billyโ€™s Worm Farm have had to charge in June to

achieve a 2% monthly rate of return?

The Finishing Department reports the following data for the month:

Equivalent unit of production:

Transferred in

3,000

Direct materials

3,000

Conversion cost

2,250

Costs:

Beginning WIP

Added this month

Total

Transferred in

\(7,500

\)15,000

\(22,500

Direct materials

3,250

6,500

9,750

Conversion costs

6,125

13,000

19,125

Total

\)16,875

\(34,500

\)51,375

Calculate the cost per equivalent units of production for each input. The company

uses the weighted-average method.

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