Collins Chemicals produces a compound through two processes. For its first process for a particular period, Collins had an opening WIP inventory of 100 units halfway through the process; 2300 units completed in the period; and a closing WIP inventory of 400 units three-quarters of the way through the process. Materials are added at the beginning of the process and conversion costs are incurred uniformly. Which statement is correct if the firm used weighted average costing?Group of answer choicesEquivalent units of direct material and conversion costs are both 2,600 for the period.Equivalent units of conversion costs are 2,700, and equivalent units of direct materials are 2,600.Equivalent units of direct material and conversion costs are both 2,700 for the period.Equivalent units of direct materials are 2,700, and equivalent units of conversion costs are 2,600.None of above.
Question
Collins Chemicals produces a compound through two processes. For its first process for a particular period, Collins had an opening WIP inventory of 100 units halfway through the process; 2300 units completed in the period; and a closing WIP inventory of 400 units three-quarters of the way through the process. Materials are added at the beginning of the process and conversion costs are incurred uniformly. Which statement is correct if the firm used weighted average costing?Group of answer choicesEquivalent units of direct material and conversion costs are both 2,600 for the period.Equivalent units of conversion costs are 2,700, and equivalent units of direct materials are 2,600.Equivalent units of direct material and conversion costs are both 2,700 for the period.Equivalent units of direct materials are 2,700, and equivalent units of conversion costs are 2,600.None of above.
Solution
To answer this question, we need to calculate the equivalent units for both direct materials and conversion costs.
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Direct Materials: Materials are added at the beginning of the process, so the equivalent units of direct materials are the number of units completed plus the number of units in ending WIP.
Units completed = 2300 Units in ending WIP = 400 (since materials are added at the beginning, we count all of these)
So, equivalent units of direct materials = 2300 + 400 = 2700
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Conversion Costs: Conversion costs are incurred uniformly throughout the process. So, for the units in ending WIP, we only count a portion of them, based on how far they are through the process.
Units completed = 2300 Units in ending WIP = 400 * 75% (since they are three-quarters of the way through the process)
So, equivalent units of conversion costs = 2300 + (400 * 0.75) = 2600
Therefore, the correct statement is: "Equivalent units of direct materials are 2,700, and equivalent units of conversion costs are 2,600."
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