Gunes Corporation uses the weighted-average method in its process costing system. This month, the beginning inventory in the first processing department consisted of 800 units. The costs and percentage completion of these units in beginning inventory were: Cost Percent Complete Materials costs $ 10,600 65% Conversion costs $ 12,800 30% A total of 8,500 units were started and 7,400 units were transferred to the second processing department during the month. The following costs were incurred in the first processing department during the month: Cost Materials costs $ 142,100 Conversion costs $ 359,500 The ending inventory was 50% complete with respect to materials and 35% complete with respect to conversion costs. The cost per equivalent unit for conversion costs for the first department for the month is closest to:

$46.04

Explanation:

It is important to note that Gunes Corporation uses the weighted-average method. This means we are only interested in the Equivalent units completed and transferred and units in working process.

Total Conversion Cost

Consider the cost in opening work in process and cost during the year.

Total Conversion Cost = $12,300 + $359,000 = $371,300

Equivalent Units

Consider work completed in units completed and transferred and units in working process.

Equivalent Units = 7,400 x 100% + 1,900 x 35 % = 8,065 units

The units in working process have been calculated as :

Units in working process = 800 + 8500 - 7,400 = 1,900

Cost per Equivalent Units

Cost per Equivalent Unit = Total Cost ÷ Total Equivalent Units

                                           = $371,300 ÷ 8,065 units

                                           = $46.04

The cost per equivalent unit for conversion costs for the first department for the month is closest to $46.04

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