Consider the following data for the assembly division of Fenton Watches Company: The assembly division uses the weighted-average method of process costing. Compute the unit cost of a completely finished watch.Physical Units (Watches) Direct Materials Conversion CostsBeginning work-in-process (May 1)a 95 $491,000 $94,984Started in May 2021 525 0 0Completed during May 2021 450 0 0Ending work-in-process (May 31)b 170 0 0Total costs added during May 2021 $3,218,880 $1,400,000a. Degree of completion: direct materials, 90%; conversion costs, 40%.b. Degree of completion: direct materials, 70%; conversion costs, 30%.
Question
Consider the following data for the assembly division of Fenton Watches Company: The assembly division uses the weighted-average method of process costing. Compute the unit cost of a completely finished watch.Physical Units (Watches) Direct Materials Conversion CostsBeginning work-in-process (May 1)a 95 94,984Started in May 2021 525 0 0Completed during May 2021 450 0 0Ending work-in-process (May 31)b 170 0 0Total costs added during May 2021 1,400,000a. Degree of completion: direct materials, 90%; conversion costs, 40%.b. Degree of completion: direct materials, 70%; conversion costs, 30%.
Solution
To compute the unit cost of a completely finished watch, we first need to calculate the equivalent units for direct materials and conversion costs, and then calculate the total cost per equivalent unit.
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Direct Materials:
Equivalent units for direct materials = Units completed + (Units in ending WIP * % completion for direct materials)
= 450 + (170 * 70%) = 450 + 119 = 569
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Conversion Costs:
Equivalent units for conversion costs = Units completed + (Units in ending WIP * % completion for conversion costs)
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