MegaRock produces quick setting concrete mix. Production of 206,860 tons was started in April, 194,760 tons were completed. Material costs were $3,251,680 for the month while conversion costs were $593,800. There was no beginning work-in-process; the ending work-in-process was 70% complete. What is the material cost of the product that remains in work-in-process?
Solution
Units in Work in Process = Total Units - Completed units
= 206,860 - 194,760
= 12,100 Units
Equivalent Total Production Units = Completed Units + (Units in work in process * Completion Percentage)
= 194,760 + (12,100 * 70%)
= 194,760 + 8,470
= 203,230 Units
Equivalent material Cost per Unit = Total Cost Incurred / Equivalent production Units
= $3,251,680 / 203,230 Units
= $16 Per unit
Material Cost of the product that remains in work-in-process = (Units in Work in Process * Completion Percentage) * Cost per unit
= (12,100 * 70%) * $16
= $135,520
Therefore, Material Cost of the product that remains in work-in-process is $135,520
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