In: Accounting
K Corporation uses the weighted-average method in its process costing system. Data concerning the first processing department for the most recent month are listed below: Beginning work in process inventory: Units in beginning work in process inventory 1,700 Materials costs $ 8,100 Conversion costs $ 3,400 Percent complete with respect to materials 55 % Percent complete with respect to conversion 25 % Units started into production during the month 7,600 Units completed and transferred to the next department during the month 6,800 Materials costs added during the month $ 111,200 Conversion costs added during the month $ 84,300 Ending work in process inventory: Units in ending work in process inventory 2,500 Percent complete with respect to materials 70 % Percent complete with respect to conversion 55 % The total cost of units completed and transferred from the first processing department to the next processing department during the month is closest to: (Round your intermediate calculations to 3 decimal places.)
Multiple Choice $192,711 $208,401 $167,831 $183,411
Correct answer------------$167,831
Working
| Reconciliation of Units | ||
| A | Beginning WIP | 1,700 | 
| B | Introduced | 7,600 | 
| C=A+B | TOTAL | 9,300 | 
| D | Transferred out | 6,800 | 
| E=C-D | Ending WIP | 2,500 | 
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| Statement of Equivalent Units(Weighted average) | |||||||
| Material | Conversion | ||||||
| Units | Complete % | Equivalent units | Complete % | Equivalent units | |||
| Transferred out | 6,800 | 100% | 6,800 | 100% | 6,800 | ||
| Ending WIP | 2,500 | 70% | 1,750 | 55% | 1,375 | ||
| Total | 9,300 | Total | 8,550 | Total | 8,175 | ||
.
| Cost per Equivalent Units (Weighted average) | ||||
| COST | Material | Conversion | TOTAL | |
| Beginning WIP Inventory Cost (A) | $ 8,100 | $ 3,400 | $ 11,500 | |
| Cost incurred during period (B) | $ 111,200 | $ 84,300 | $ 195,500 | |
| Total Cost to be accounted for (C=A+B) | $ 119,300 | $ 87,700 | $ 207,000 | |
| Total Equivalent Units(D) | 8,550 | 8,175 | ||
| Cost per Equivalent Units (E=C/D) | $ 13.95 | $ 10.73 | $ 24.68 | |
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| Statement of cost (Weighted average) | |||||
| Cost | Equivalent Cost/unit | Ending WIP | Transferred | ||
| Units | Cost Allocated | Units | Cost Allocated | ||
| Material | $ 13.95 | 1,750 | $ 24,418.13 | 6,800 | $ 94,881.87 | 
| Conversion | $ 10.73 | 1,375 | $ 14,750.76 | 6,800 | $ 72,949.24 | 
| TOTAL | $ 207,000 | TOTAL | $ 39,169 | TOTAL | $ 167,831 |