Weighted Average Costing 895827
1. **Problem Statement:**
Calculate the total units to be accounted for, equivalent units of production (EUP), total costs to be accounted for, 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:**
- Work-in-Process (WIP), Sept 30: 2,000 units (50% converted)
- Units started during October: 20,000 units
- WIP, Oct 31: 2,800 units (60% converted)
- Costs at Sept 30:
- Materials: 48,000
- Labor: 30,000
- Overhead: 15,200
- Costs 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 Units Completed and Transferred Out**
$$\text{Units Completed} = \text{Total Units} - \text{Ending WIP} = 22,000 - 2,800 = 19,200$$
5. **Step 3: Calculate Equivalent Units of Production (EUP) for Materials, Labor, and Overhead**
- Materials are 100% complete for all units in process (given "all material")
- Labor and Overhead are converted at 50% for beginning WIP and 60% for ending WIP
Weighted-average method treats beginning WIP and current period together:
| Category | Units | Materials EUP | Labor & Overhead EUP |
|---|---|---|---|
| Units Completed | 19,200 | 19,200 | 19,200 |
| Ending WIP | 2,800 | 2,800 | $2,800 \times 0.60 = 1,680$ |
| **Total EUP** | | $19,200 + 2,800 = 22,000$ | $19,200 + 1,680 = 20,880$ |
6. **Step 4: 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:
$$550,000 + 417,600 + 313,200 = 1,280,800$$
7. **Step 5: Calculate Unit Cost per Equivalent Unit**
- Materials:
$$\frac{550,000}{22,000} = 25.00$$
- Labor:
$$\frac{417,600}{20,880} = 20.00$$
- Overhead:
$$\frac{313,200}{20,880} = 15.00$$
8. **Summary Table:**
| Description | Materials | Labor | Overhead |
|---|---|---|---|
| Total Costs | 550,000 | 417,600 | 313,200 |
| Equivalent Units | 22,000 | 20,880 | 20,880 |
| Unit Cost | 25.00 | 20.00 | 15.00 |
**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 for: 1,280,800
- Unit cost per equivalent unit: 25.00 (Materials), 20.00 (Labor), 15.00 (Overhead)