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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 95 491,000491,000 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 3,218,8803,218,880 1,400,000a. Degree of​ completion: direct​ materials, 90%; conversion​ costs, 40%.b. Degree of​ completion: direct​ materials, 70​%; conversion​ costs, 30​%.

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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.

  1. Direct Materials:

    Equivalent units for direct materials = Units completed + (Units in ending WIP * % completion for direct materials)

    = 450 + (170 * 70%) = 450 + 119 = 569

  2. Conversion Costs:

    Equivalent units for conversion costs = Units completed + (Units in ending WIP * % completion for conversion costs)

This problem has been solved

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