G Sparky Corporation uses the FIFO method of process costing. The following information is available for February in its Molding Department: Units: Beginning Inventory: 25,000 units, 100% complete as to materials and 55% complete as to conversion. Units started and completed: 110,000. Units completed and transferred out: 135,000. Ending Inventory: 30,000 units, 100% complete as to materials and 30% complete as to conversion. Costs: Costs in beginning Work in Process - Direct Materials: $43,000. Costs in beginning Work in Process - Conversion: $48,850. Costs incurred in February - Direct Materials: $287,000. Costs incurred in February - Conversion: $599,150. Calculate the equivalent units of materials.

Total equivalent unit of material =   140,000 units

Explanation:

Equivalent units are used to apportion cost between completed units and work in progress. They represent notional whole units which represent incomplete work.

Under the first in first method , to account for completed units during a production period the opening inventory units are assumed to completed first before newly the newly introduced units.

So we can work out the equivalents units as follows:

Fully worked units :These represent units started this period of production and completed in the same period. This is given as 110,000 units

Equivalent units (EU)

Item                           unit          Workings               EU

Opening inventory     25,000     0% × 25,000     =   0

Fully worked            110,000    100% × 110,000 =   110,000

Closing inventory    30,000      100%× 30,000 =   30,000

Total equivalent unit of material                           140,000

Note that for the opening inventory already 100% material work has been done the preceding period , so there wont be any work left to be done in respect of materials.

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