Weighted Average Costing 926D8E
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. **Quantity Schedule and Equivalent Units of Production (EUP):**
- Beginning Work-in-Process (WIP): 2,000 units (all materials, 50% converted)
- Units started during the month: 20,000 units
- Ending WIP: 2,800 units (all materials, 60% converted)
Total units to be accounted for = Beginning WIP + Units started = $2000 + 20000 = 22000$ units
3. **Equivalent Units of Production (Weighted Average):**
- Materials: All units are 100% complete for materials (including beginning and ending WIP)
- Labor and Overhead: Use conversion percentages
Calculate EUP:
- Units completed = Total units to be accounted for - Ending WIP = $22000 - 2800 = 19200$
Materials EUP = Units completed + Ending WIP (100%) = $19200 + 2800 = 22000$
Labor and Overhead EUP = Units completed + Ending WIP (60%) = $19200 + 2800 \times 0.6 = 19200 + 1680 = 20880$
4. **Total Costs to be Accounted For:**
- Beginning WIP costs:
- Materials = 48000
- Labor = 30000
- Overhead = 15200
- Costs added during the month:
- Materials = 502000
- Labor = 387600
- Overhead = 298000
Total costs:
- Materials = $48000 + 502000 = 550000$
- Labor = $30000 + 387600 = 417600$
- Overhead = $15200 + 298000 = 313200$
5. **Unit Cost per Equivalent Unit:**
- Materials unit cost = Total materials cost / Materials EUP = $\frac{550000}{22000} = 25$
- Labor unit cost = Total labor cost / Labor and overhead EUP = $\frac{417600}{20880} \approx 20$
- Overhead unit cost = Total overhead cost / Labor and overhead EUP = $\frac{313200}{20880} \approx 15$
6. **Summary Table:**
| Description | Materials | Labor & Overhead |
|-----------------------|-----------|-----------------|
| Units Completed | 19200 | 19200 |
| Ending WIP (EUP) | 2800 | 1680 |
| Total EUP | 22000 | 20880 |
| Costs | Materials | Labor | Overhead |
|-----------------------|-----------|-----------------|-----------------|
| Beginning WIP | 48000 | 30000 | 15200 |
| Added Costs | 502000 | 387600 | 298000 |
| Total Costs | 550000 | 417600 | 313200 |
| Unit Cost per EUP | 25 | 20 | 15 |
**Final answer:**
- Total units to be accounted for: 22000 units
- Equivalent units of production: 22000 (materials), 20880 (labor and overhead)
- Total costs to be accounted for: 550000 (materials), 417600 (labor), 313200 (overhead)
- Unit cost per equivalent unit: 25 (materials), 20 (labor), 15 (overhead)