Destin Company uses the weighted average method in its process costing system. The first processing department, the welding department, started the month with 10,000 units in its beginning work in process inventory that were 30% complete with respect to conversion costs. The conversion cost in this beginning work in process inventory was $19,200. An additional 60,000 units were started into production during the month. There were 19,000 units in the ending work in process inventory of the welding department that were 70% complete with respect to conversion costs. A total of $383,060 in conversion costs were incurred in the department during the month. that would be the cost per equivalent unit for conversion costs for the month? (round off to three decimal places)

the cost per equivalent unit for conversion costs for the month is $ 6.256 (round off to three decimal places)

Explanation:

The Concept of Equivalent units measures the number of units of output in terms of percentage completion of a certain input element.

In this question we  are required to find the cost per equivalent unit for conversion costs.

Step 1 Find the Total conversion costs for the period.

Conversion cost in this beginning work in process inventory $19,200

Conversion costs incurred in the  during the month              $383,060

Total conversion costs for the period                                      $402,260

Step 2 Find the Total Equivalent units

Hint : First find the Units Completed

Units Completed = 10000+6000-19000

                            =  51,000

Total Equivalent units

Units Completed (  51,000 × 100 %)                  = 51,000

Closing Work In progress (  19,000 × 70 %)      =13,300

Total Equivalent units                                         =64,300

Step 3 Find cost per equivalent unit for conversion costs

cost per equivalent unit = Total conversion costs / Total Equivalent units

                                          =  $402,260 / 64,300

                                          =  $ 6.256 (round off to three decimal places)

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