Department F had 4,000 units in Work in Process that were 40% completed at the beginning of the period at a cost of $13,300. Of the $13,300, $7,800 was for material and $5,500 was for conversion costs. 14,000 units of direct materials were added during the period at a cost of $28,600. 15,000 units were completed during the period, and 3,000 units were 75% completed at the end of the period. All materials are added at the beginning of the process. Direct labor was $33,800 and factory overhead was $18,600. If the weighted average method is used, the materials cost per unit (rounded to the nearest cent) would be

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Chapter1: Financial Statements And Business Decisions
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### Cost Accounting: Weighted Average Method

**Scenario:**

Department F had 4,000 units in Work In Process that were 40% completed at the beginning of the period at a cost of $13,300. Of the $13,300, $7,800 was for materials and $5,500 was for conversion costs. During the period, 14,000 units of direct materials were added at a cost of $28,600. By the end of the period, 15,000 units were completed, and 3,000 units were 75% completed. All materials are added at the beginning of the process. The direct labor cost was $33,800, and factory overhead was $18,600.

**Question:**

If the weighted average method is used, the materials cost per unit (rounded to the nearest cent) would be:

- $1.65
- $2.11
- $3.03
- $2.02

**Solution Explanation:**

To determine the materials cost per unit using the weighted average method, follow these steps:

1. **Calculate Total Materials Cost:**
   - Beginning WIP materials cost: $7,800
   - Materials added: $28,600
   - Total materials cost: $7,800 + $28,600 = $36,400

2. **Calculate Equivalent Units for Materials:**
   - Units completed: 15,000 units
   - Units in ending WIP: 3,000 units (Since materials are added at the beginning, count full 3,000 units)
   - Total equivalent units for materials: 15,000 + 3,000 = 18,000 units

3. **Calculate Materials Cost per Unit:**
   - Total materials cost ($36,400) / Total equivalent units (18,000) = $2.02 per unit

Thus, the correct answer is **$2.02** per unit.
Transcribed Image Text:### Cost Accounting: Weighted Average Method **Scenario:** Department F had 4,000 units in Work In Process that were 40% completed at the beginning of the period at a cost of $13,300. Of the $13,300, $7,800 was for materials and $5,500 was for conversion costs. During the period, 14,000 units of direct materials were added at a cost of $28,600. By the end of the period, 15,000 units were completed, and 3,000 units were 75% completed. All materials are added at the beginning of the process. The direct labor cost was $33,800, and factory overhead was $18,600. **Question:** If the weighted average method is used, the materials cost per unit (rounded to the nearest cent) would be: - $1.65 - $2.11 - $3.03 - $2.02 **Solution Explanation:** To determine the materials cost per unit using the weighted average method, follow these steps: 1. **Calculate Total Materials Cost:** - Beginning WIP materials cost: $7,800 - Materials added: $28,600 - Total materials cost: $7,800 + $28,600 = $36,400 2. **Calculate Equivalent Units for Materials:** - Units completed: 15,000 units - Units in ending WIP: 3,000 units (Since materials are added at the beginning, count full 3,000 units) - Total equivalent units for materials: 15,000 + 3,000 = 18,000 units 3. **Calculate Materials Cost per Unit:** - Total materials cost ($36,400) / Total equivalent units (18,000) = $2.02 per unit Thus, the correct answer is **$2.02** per unit.
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