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During January, the production department of a process operations system completed and transferred to finished goods a total of 59,000 units. At the end of January, 12,000 additional units were in process in the production department and were 45% complete with respect to conversion. The beginning inventory included conversion cost of $39,200 and the production department incurred conversion costs of $311,100 during January. Compute the cost per equivalent unit for conversion for the department using the weighted-average method.

Question

During January, the production department of a process operations system completed and transferred to finished goods a total of 59,000 units. At the end of January, 12,000 additional units were in process in the production department and were 45% complete with respect to conversion. The beginning inventory included conversion cost of 39,200andtheproductiondepartmentincurred conversioncostsof39,200 and the production department incurred conversion costs of 311,100 during January. Compute the cost per equivalent unit for conversion for the department using the weighted-average method.

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Solution 1

To compute the cost per equivalent unit for conversion using the weighted-average method, follow these steps:

  1. Calculate the equivalent units of production for conversion: The 59,000 units that were completed and transferred out are fully complete, so they represent 59,000 equivalent units. The 12,000 units still in process are 45% complete, so they represent an additional 5,400 equivalent units (12,000 units * 45%). Therefore, the total equivalent units of production for conversion is 64,400 units (59,000 units + 5,400 units).

  2. Calculate the total cost of conversion: The beginning inventory included conversion costs of 39,200andthedepartmentincurredadditionalconversioncostsof39,200 and the department incurred additional conversion costs of 311,100 during January. Therefore, the total cost of conversion is 350,300(350,300 (39,200 + $311,100).

  3. Compute the cost per equivalent unit for conversion: Divide the total cost of conversion by the total equivalent units of production for conversion. Therefore, the cost per equivalent unit for conversion is 5.44(5.44 (350,300 / 64,400 units).

So, the cost per equivalent unit for conversion for the department using the weighted-average method is $5.44.

This problem has been solved

Solution 2

To compute the cost per equivalent unit for conversion using the weighted-average method, follow these steps:

  1. Calculate the equivalent units of production for conversion: The 59,000 units that were completed and transferred out are fully complete, so they represent 59,000 equivalent units. The 12,000 units still in process are 45% complete, so they represent an additional 5,400 equivalent units (12,000 units * 45%). Add these together to get the total equivalent units of production for conversion, which is 64,400 units (59,000 units + 5,400 units).

  2. Calculate the total conversion cost: The total conversion cost is the sum of the beginning inventory conversion cost and the conversion costs incurred during January. So, 39,200(beginninginventoryconversioncost)+39,200 (beginning inventory conversion cost) + 311,100 (conversion costs incurred during January) = $350,300.

  3. Compute the cost per equivalent unit for conversion: Divide the total conversion cost by the total equivalent units of production for conversion. So, 350,300/64,400units=350,300 / 64,400 units = 5.44 per equivalent unit.

So, the cost per equivalent unit for conversion for the department using the weighted-average method is $5.44.

This problem has been solved

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