In: Accounting
Department G had 1,920 units 25% completed at the beginning of the period, 12,800 units were completed during the period, 1,600 units were 20% completed at the end of the period, and the following manufacturing costs debited to the departmental work in process account during the period:
Work in process, beginning of period | $29,700 |
Costs added during period: | |
Direct materials (12,480 units at $8) | 99,840 |
Direct labor | 81,000 |
Factory overhead | 27,000 |
All direct materials are placed in process at the beginning of production and the first-in, first-out method of inventory costing is used. The total cost of 1,920 units of beginning inventory which were completed during the period (round unit cost calculations to four decimal places and round your final answer to the nearest dollar)?
a.$43,604
b.$42,004
c.$29,700
d.$39,543
Equivalent units of Production (EUP) - FIFO Method | |||||
Units | %Materials | EUP-Materials | %Conversion | EUP-Conversion | |
Beginning work in process inventory-units | 1920 | 0% | - | 75% | 1440 |
Units started and completed | 10880 | 100% | 10880 | 100% | 10880 |
Ending work in process-units | 1600 | 100% | 1600 | 20% | 320 |
Equivalent units of production | 12480 | 12640 | |||
Cost per equivalent unit of production | Materials | Conversion | |||
Costs incurred this period | $ 99840 | $ 108000 | |||
Total costs | Costs | $ 99840 | Costs | $ 108000 | |
/Equivalent units of production | EUP | 12480 | EUP | 12640 | |
Cost per equivalent unit of production | $ 8.00 | $ 8.5443038 | |||
Total costs accounted for: | |||||
Beginning inventory cost: | $ 29700 | ||||
Cost to complete beginning inventory: | EUP | Cost per EUP | Total cost | ||
Direct materials | - | $ 8.00 | $ - | ||
Conversion | 1440 | $ 8.5443038 | $ 12304 | ||
Total cost to complete beginning inventory | $ 12304 | $ 12304 | |||
Total cost of units in beginning inventory | $ 42004 |
Hence,correct option is (b) i.e., $ 42004