Math  /  Data & Statistics

QuestionAl-Quds Company, a manufacturer of wool cloth, uses the weighted-average method for its process costing system. Each unit passes through the assembly department and the testing department. This problem focuses on the assembly department. The information for March is as follows:
Beginning work in process was half converted as to labor and overhead. Direct materials are added at the beginning of the process. All conversion costs are incurred evenly throughout the process. Ending work in process was 60%60 \% complete.
Required:
1. What is the total cost to account for?

Tockefor Bey wip Dm + Beg curp CC + Dm added + CCC (DL + MOH) =6,000+2600+30,000+(12,000+5000)=55,600\begin{array}{l} =6,000+2600+30,000+(12,000+5000) \\ =55,600 \end{array}
2. What are the equivalent units for direct materials?  Dm  Comptetel 25,000 Bey + started = complete tend 10,000+20,000=25,000+ end  end 5,000 end =5000 units. \begin{array}{l} \begin{array}{ll} \text { Dm } \\ \text { Comptetel } \\ 25,000 \end{array} \quad \begin{array}{c} \text { Bey }+ \text { started }=\text { complete tend } \\ 10,000+20,000=25,000+\text { end } \end{array} \\ \text { end } 5,000 \text { end }=5000 \text { units. } \end{array}
3. What is the equivalent unit for conversion costs?  complete 25,000 end 3000(0,60×5000) e.U CC =28,000\begin{array}{ll} \text { complete } & 25,000 \\ \text { end } & 3000(0,60 \times 5000) \end{array} \quad \text { e.U CC }=28,000
4. Journalize the required entry to record the direct materials purchased and used in production during March.

Studdy Solution

STEP 1

Assumptions
1. The company uses the weighted-average method for process costing.
2. Direct materials are added at the beginning of the process.
3. Conversion costs (labor and overhead) are incurred evenly throughout the process.
4. Beginning work in process (WIP) was half converted.
5. Ending work in process was 60% complete.
6. The total cost to account for includes beginning WIP direct materials, beginning WIP conversion costs, direct materials added, and conversion costs added.

STEP 2

Calculate the total cost to account for. The formula is:
Total Cost to Account For=Beginning WIP DM+Beginning WIP CC+DM Added+CC Added\text{Total Cost to Account For} = \text{Beginning WIP DM} + \text{Beginning WIP CC} + \text{DM Added} + \text{CC Added}

STEP 3

Plug in the given values into the formula:
- Beginning WIP DM = 6,000BeginningWIPCC=6,000 - Beginning WIP CC = 2,600 - DM Added = 30,000CCAdded(DL+MOH)=30,000 - CC Added (DL + MOH) = 12,000 + $5,000
Total Cost to Account For=6,000+2,600+30,000+(12,000+5,000)\text{Total Cost to Account For} = 6,000 + 2,600 + 30,000 + (12,000 + 5,000)

STEP 4

Calculate the total cost to account for:
Total Cost to Account For=6,000+2,600+30,000+17,000=55,600\text{Total Cost to Account For} = 6,000 + 2,600 + 30,000 + 17,000 = 55,600

STEP 5

Determine the equivalent units for direct materials. Since direct materials are added at the beginning of the process, all units in process (both completed and ending WIP) are considered 100% complete for direct materials.

STEP 6

Calculate the equivalent units for direct materials:
- Completed units = 25,000 - Ending WIP units = 5,000
Equivalent Units for DM=Completed Units+Ending WIP Units\text{Equivalent Units for DM} = \text{Completed Units} + \text{Ending WIP Units}

STEP 7

Plug in the values:
Equivalent Units for DM=25,000+5,000=30,000\text{Equivalent Units for DM} = 25,000 + 5,000 = 30,000

STEP 8

Determine the equivalent units for conversion costs. Conversion costs are incurred evenly, so we need to account for the percentage of completion.

STEP 9

Calculate the equivalent units for conversion costs:
- Completed units = 25,000 - Ending WIP units = 5,000 (60% complete)
Equivalent Units for CC=Completed Units+(Ending WIP Units×Percentage Complete)\text{Equivalent Units for CC} = \text{Completed Units} + (\text{Ending WIP Units} \times \text{Percentage Complete})

STEP 10

Plug in the values:
Equivalent Units for CC=25,000+(5,000×0.60)\text{Equivalent Units for CC} = 25,000 + (5,000 \times 0.60)

STEP 11

Calculate the equivalent units for conversion costs:
Equivalent Units for CC=25,000+3,000=28,000\text{Equivalent Units for CC} = 25,000 + 3,000 = 28,000

STEP 12

Journalize the entry to record the direct materials purchased and used in production during March. The entry should reflect the direct materials added to production.

STEP 13

The journal entry is:
- Debit: Work in Process Inventory (Assembly Department) 30,000Credit:RawMaterialsInventory30,000 - Credit: Raw Materials Inventory 30,000
This entry records the direct materials added to the production process.

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