Problem 4A-74 Dana Inc. uses the FIFO method in its...
Dana Inc. uses the FIFO method in its process costing system. The following data concern the operations of the company’s first processing department for a recent month. |
Work in process beginning: | ||
Units in process | 300 | |
Percent complete with respect to materials | 40 | % |
Percent complete with respect to conversion | 20 | % |
Costs in the beginning inventory: | ||
Materials cost | $500 | |
Conversion cost | $2,090 | |
Units started into production during the month | 10,000 | |
Units completed and transferred out | 10,100 | |
Costs added to production during the month: | ||
Materials cost | $15,624 | |
Conversion cost | $253,500 | |
Work in process,ending: | ||
Units in process | 200 | |
Percent complete with respect to materials | 50 | % |
Percent complete with respect to conversion | 50 | % |
Required: |
Using the FIFO method: |
a. |
Determine the equivalent units of production for materials and conversion costs. |
Equivalent
Units of Production |
|
Materials | |
Conversion | |
b. |
Determine the cost per equivalent unit for materials and conversion costs. (Do not round intermediate calculations and final answers to 2 decimal places.) |
Cost per Equivalent Unit |
|
Materials | $ |
Conversion | $ |
c. |
Determine the cost of ending work in process inventory. (Do not round intermediate calculations. Omit the "$" sign in your response.) |
Cost of ending WIP | $ |
d. |
Determine the cost of units transferred out of the department during the month. (Do not round intermediate calculations. Omit the "$" sign in your response.) |
Cost of units transferred out |
$ |
a) Determine the equivalent units of production for materials and conversion costs.
Physical unit | % | EUP-material | % | EUP-conversion | |
Beginning wip | 300 | 60% | 180 | 80% | 240 |
Unit started and completed | 9800 | 100% | 9800 | 100% | 9800 |
Ending wip | 200 | 50% | 100 | 500% | 100 |
Total | 10300 | 10080 | 10140 | ||
b) Determine the cost per equivalent unit for materials and conversion costs.
Material | Conversion | |
Cost added during period | 15624 | 253500 |
Equivalent unit | 10080 | 10140 |
Cost per equivalent unit | 1.55 | 25 |
c) Determine the cost of ending work in process inventory.
Cost of ending work in process = (100*1.55+100*25) = 2655
d) Determine the cost of units transferred out of the department during the month
Cost of units transferred out = (9980*1.55+10040*25)+2590 = 269059
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