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Consider the following data for the assembly division of Gannett 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 78 $49,770 $67,350Started in May 2021 495 0 0Completed during May 2021 443 0 0Ending​ work-in-process (May 31)b 130 0 0Total costs added during May 2021 $3,240,000 $1,410,000a. Degree of​ completion: direct​ materials, 90%; conversion​ costs, 40%.b. Degree of​ completion: direct​ materials, 40​%; conversion​ costs, 20​%.

Question

Consider the following data for the assembly division of Gannett 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 78 49,77049,770 67,350Started in May 2021 495 0 0Completed during May 2021 443 0 0Ending​ work-in-process (May 31)b 130 0 0Total costs added during May 2021 3,240,0003,240,000 1,410,000a. Degree of​ completion: direct​ materials, 90%; conversion​ costs, 40%.b. Degree of​ completion: direct​ materials, 40​%; conversion​ costs, 20​%.

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Solution

To compute the unit cost of a completely finished watch, we need to follow these steps:

Step 1: Calculate the equivalent units of production for direct materials and conversion costs.

For direct materials:

  • Beginning work-in-process: 78 watches * 90% = 70.2 units
  • Started and completed in May: 443 watches * 100% = 443 units
  • Ending work-in-process: 130 watches * 40% = 52 units
  • Total equivalent units for direct materials = 70.2 + 443 + 52 = 565.2 units

For conversion costs:

  • Beginning work-in-process: 78 watches * 40% = 31.2 units
  • Started and completed in May: 443 watches * 100% = 443 units
  • Ending work-in-process: 130 watches * 20% = 26 units
  • Total equivalent units for conversion costs = 31.2 + 443 + 26 = 500.2 units

Step 2: Calculate the cost per equivalent unit for direct materials and conversion costs.

For direct materials:

  • Total cost of direct materials = Beginning work-in-process cost + Cost added during May = 49,770+49,770 + 3,240,000 = $3,289,770
  • Cost per equivalent unit for direct materials = Total cost / Total equivalent units = 3,289,770/565.2=3,289,770 / 565.2 = 5,821.68 per unit

For conversion costs:

  • Total cost of conversion costs = Beginning work-in-process cost + Cost added during May = 67,350+67,350 + 1,410,000 = $1,477,350
  • Cost per equivalent unit for conversion costs = Total cost / Total equivalent units = 1,477,350/500.2=1,477,350 / 500.2 = 2,953.79 per unit

Step 3: Add the cost per equivalent unit for direct materials and conversion costs to get the total unit cost of a completely finished watch.

Total unit cost = Cost per equivalent unit for direct materials + Cost per equivalent unit for conversion costs = 5,821.68+5,821.68 + 2,953.79 = $8,775.47

So, the unit cost of a completely finished watch is $8,775.47.

This problem has been solved

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