Subjects cost accounting

Weighted Average 078E29

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Weighted Average 078E29


1. **Problem Statement:** Calculate the total units to be accounted for, equivalent units of production (EUP), total costs to be accounted, and unit cost per equivalent unit for materials, labor, and overhead using weighted-average process costing for Renan Company in October 2025. 2. **Given Data:** - Beginning Work-in-Process (WIP), Sept 30: 2,000 units (all materials, 50% converted) - Units started during October: 20,000 units - Ending WIP, Oct 31: 2,800 units (all materials, 60% converted) - Costs: - Beginning WIP: Materials 48,000; Labor 30,000; Overhead 15,200 - Added during October: Materials 502,000; Labor 387,600; Overhead 298,000 3. **Step 1: Calculate Total Units to be Accounted For** $$\text{Total Units} = \text{Beginning WIP} + \text{Units Started} = 2,000 + 20,000 = 22,000$$ 4. **Step 2: Calculate Equivalent Units of Production (EUP) - Weighted Average Method** - Materials are 100% complete for all units in process. - Conversion costs (Labor + Overhead) are partially complete. | Units | Materials EUP | Conversion EUP | |-------|---------------|---------------| | Completed Units | $22,000 - 2,800 = 19,200$ | 19,200 | | Ending WIP | 2,800 | $2,800 \times 60\% = 1,680$ | | **Total EUP** | $19,200 + 2,800 = 22,000$ | $19,200 + 1,680 = 20,880$ | 5. **Step 3: Calculate Total Costs to be Accounted For** - Materials: $48,000 + 502,000 = 550,000$ - Labor: $30,000 + 387,600 = 417,600$ - Overhead: $15,200 + 298,000 = 313,200$ - Total Costs: $550,000 + 417,600 + 313,200 = 1,280,800$ 6. **Step 4: Calculate Unit Cost per Equivalent Unit** - Materials: $$\frac{550,000}{22,000} = 25$$ - Labor: $$\frac{417,600}{20,880} = 20$$ - Overhead: $$\frac{313,200}{20,880} = 15$$ 7. **Summary Table:** | Cost Component | Total Cost | Equivalent Units | Unit Cost per EUP | |----------------|------------|------------------|-------------------| | Materials | 550,000 | 22,000 | 25 | | Labor | 417,600 | 20,880 | 20 | | Overhead | 313,200 | 20,880 | 15 | **Final Answer:** - Total units to be accounted for: 22,000 units - Equivalent units of production: 22,000 (Materials), 20,880 (Labor and Overhead) - Total costs to be accounted: 1,280,800 - Unit cost per equivalent unit: Materials = 25, Labor = 20, Overhead = 15