Solution 1a to 1c:
Equivalent units of production (EUP) - FIFO method | |||||
Units | %Material | EUP-Material | % Conversion | EUP- Conversion | |
Beginning units completed this period (A) | 4600 | 0% | 0 | 70% | 3220 |
Units Started and Completed (450000-100000) (B) | 13000 | 100% | 13000 | 100% | 13000 |
units of Ending work in process (D) | 5600 | 100% | 5600 | 30% | 1680 |
Equivalent units of production (C+D) | 18600 | 17900 | |||
Cost per EUP | Material | Conversion | |||
Costs incurred this period (Total Costs) | Costs | $59,640 | Costs | $92,692 | |
/Equivalent units of Production | EUP | 18600 | EUP | 17900 | |
Cost per Equivalent unit of Production | $3.2065 | $5.1783 | |||
Cost Assignment and Reconciliation | |||||
Beginning Inventory Cost: | $26,938 | ||||
Cost to Complete Beginning Inventory | EUP | Cost per EUP | Total Cost | ||
Direct materials | 0 | $3.2065 | $0 | ||
Conversion | 3220 | $5.1783 | $16,674 | ||
Total Cost to complete Beginning Inventory | $16,674 | ||||
Total Costs of units in Beginning Inventory | $43,612 | ||||
Cost of units started and completed | EUP | Cost per EUP | Total Cost | ||
Direct Material | 13000 | $3.2065 | $41,684 | ||
Conversion | 13000 | $5.1783 | $67,318 | ||
Total Cost of units started and completed | $109,002 | ||||
Total cost of units transferred out | $152,614 | ||||
Cost of ending work in process | EUP | Cost per EUP | Total Cost | ||
Direct Material | 5600 | $3.2065 | $17,956 | ||
Conversion | 1680 | $5.1783 | $8,700 | ||
Total Ending work in process | $26,656 | ||||
Total Costs accounted for | $179,270 |
Solution 2:
Equivalent units of production (EUP) - FIFO method
Units | %Material | EUP-Material | % Conversion | EUP- Conversion | |
Beginning units completed this period (A) | 4600 | 0% | 0 | 70% | 3220 |
Units Started and Completed (450000-100000) (B) | 13000 | 100% | 13000 | 100% | 13000 |
units of Ending work in process (D) | 5600 | 100% | 5600 | 50% | 2800 |
Equivalent units of production (C+D) | 18400 | 19020 | |||
Cost per EUP | Material | Conversion | |||
Costs incurred this period (Total Costs) | Costs | $59,640 | Costs | $92,692 | |
/Equivalent units of Production | EUP | 18600 | EUP | 19020 | |
Cost per Equivalent Unit of Production | $3.2065 | $4.8734 |
New per unit equivalent cost = $3.2065 + $4.8734= $8.0799
Current per unit equivalent cost = $3.2065 + $5.1783 = $8.3848
Change in cost per equivalent unit = $8.3848 - $8.0799 = $0.3049
The weighted average cost per equivalent unit decreases by $0.3049
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