Smith Electronic Company’s chip-mounting production department had 300 units of unfinished product, each 50% completed on September 30. During October of the same year, this department put another 800 units into production and completed 900 units and transferred them to the next production department. At the end of October, 200 units of unfinished product, 70% completed, were recorded in the ending Work-in-Process Inventory. Smith Electronic introduces all direct materials when the production process is 50% complete. Direct labor and factory overhead (i.e., conversion) costs are added uniformly throughout the process.
Following is a summary of production costs incurred during October:
Direct Materials | Conversion Costs | ||||||
Beginning work-in-process | $ | 3,750 | |||||
Costs added in October | $ | 9,600 | 4,200 | ||||
Total costs | $ | 9,600 | $ | 7,950 | |||
Required:
1. Calculate each of the following amounts using
weighted-average process costing:
a. Equivalent units of direct materials and conversion.
b. Equivalent unit costs of direct materials and conversion.
c. Cost of goods completed and transferred out during the
period.
d. Cost of Work-in-Process Inventory at the end of the period.
Solution
Material | Conversion | |
Equivalent Units of Production | 1,100 | 1,040 |
.
Material | Conversion | |
Cost per equivalent Unit | $ 8.73 | $ 7.64 |
.
Cost of units transferred out | $ 14,734 |
.
Work in process | $ 2,816 |
Working
Reconciliation of Units | ||
A | Beginning WIP | 300 |
B | Introduced | 800 |
C=A+B | TOTAL | 1,100 |
D | Transferred out | 900 |
E=C-D | Ending WIP | 200 |
.
Statement of Equivalent Units(Weighted average) | |||||||
Material | Conversion cost | ||||||
Units | Complete % | Equivalent units | Complete % | Equivalent units | |||
Transferred out | 900 | 100% | 900 | 100% | 900 | ||
Ending WIP | 200 | 100% | 200 | 70% | 140 | ||
Total | 1,100 | Total | 1,100 | Total | 1,040 |
.
Cost per Equivalent Units (Weighted average) | ||||
COST | Material | Conversion cost | TOTAL | |
Beginning WIP Inventory Cost | $ 0 | $ 3,750 | $ 3,750 | |
Cost incurred during period | $ 9,600 | $ 4,200 | $ 13,800 | |
Total Cost to be accounted for | $ 9,600 | $ 7,950 | $ 17,550 | |
Total Equivalent Units | 1,100 | 1,040 | ||
Cost per Equivalent Units | $ 8.73 | $ 7.64 | $ 16.37 |
.
Statement of cost (Weighted average) | |||||
Cost | Equivalent Cost/unit | Ending WIP | Transferred | ||
Units | Cost Allocated | Units | Cost Allocated | ||
Material | $ 8.73 | 200 | $ 1,745.45 | 900 | $ 7,854.55 |
Conversion cost | $ 7.64 | 140 | $ 1,070.19 | 900 | $ 6,879.81 |
TOTAL | $ 17,550 | TOTAL | $ 2,816 | TOTAL | $ 14,734 |
Smith Electronic Company’s chip-mounting production department had 300 units of unfinished product, each 50% completed on...
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