Question: The Smith Processing Company had work in process at the beginning and end of March 2017 in its Painting Department as follows: Percentage of Completion

The

Smith

Processing Company had work in process at the beginning and end of March 2017 in its Painting Department as follows:

Percentage of Completion

Direct Materials

Conversion Costs

March 1 (4,600 units)

40%

10%

March 31 (50,000 units)

65%

15%


The company completed

30,000

units during March. Manufacturing costs incurred during March were direct materials costs of

$300,000

and conversion costs of

$450,000.

Inventory at March 1 was carried at a cost of

$35,000

(direct

materials—$5,000

and conversion

costs—$30,000).

Assuming

Smith

uses weighted-average costing, determine the equivalent units of work done in March, and calculate the cost of units completed and the cost of units in ending inventory.

Begin by entering the physical units first, then calculating the equivalent units.

Physical

Flow of Production

Units

Work in process beginning

4600

Started during current period

75400

To account for

80000

Completed and transferred out during current period

30000

Work in process, ending

50000

Accounted for

80000

Equivalent units of work done to date

Equivalent Units

Direct

Conversion

Materials

Costs

30000

30000

32500

17500

62500

47500


Next, summarize the total costs to account for.

Total

Direct

Conversion

Production Costs

Materials

Costs

Work in process, beginning

35000

30000

5000

Costs added in current period

750000

300000

450000

Total costs to account for

785000

330000

455000

Now calculate cost per equivalent unit for direct materials and conversion costs. (Round your answer to the nearest cent.)

Direct

Conversion

Materials

Costs

Costs incurred to date

330000

455000

Divide by

equivalent units of work done to date

63500

47500

Cost per equivalent unit

5.20

9.58

Finally, assign total costs to units completed (and transferred out) and to units in ending work in process.

Total

Direct

Conversion

Production Costs

Materials

Costs

Completed and transferred out

Work in process, ending

Total costs accounted for

785000

330000

455000

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