Respuesta :
a. Equivalent units for materials and conversion costs are computed under the weighted-average method are as follows:
Equivalent units:
Materials = 136,600
Conversion = 132,782
b. Equivalent units for materials and conversion costs are computed under the FIFO method are as follows:
Equivalent units:
Materials = 120,000
Conversion = 122,324
Data and Calculations:
Physical Flow of Units:
Units % Completed % to complete
Beginning Work in Process 16,600 63% 37% (100 - 63)
Units started in August 120,000
Total units in process 136,600
Units completed 120,000 100% 0%
Ending Work in Process 16,600 77% 23% (100 - 77)
Units started and completed this period = 103,400 (120,000 - 16,600)
Equivalent units using the weighted-average method:
Materials Conversion Costs
Units completed 120,000 120,000 (100%) 120,000 (100%)
Ending Work in Process 16,600 16,600 (100%) 12,782 (77%)
Total equivalent units 136,600 132,782
Equivalent units using FIFO method:
Materials Conversion Costs
Beginning Work in Process 16,600 0 6,142 (33%)
Units started and completed 103,400 103,400 (100%) 103,400 (100%)
Ending Work in Process 16,600 16,600 (100%) 12,782 (77%)
Total equivalent units 120,000 122,324
Thus, there is a difference between the computation of equivalent units using the weighted-average method and under the FIFO method because the FIFO method assumes that beginning work in process units are completed first before units started during the current period.
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