Superior Micro Products uses the weighted-average method in its process costing system. During January, the Delta Assembly Department completed its processing of 26,800 units and transferred them to the next department. The cost of beginning work in process inventory and the costs added during January amounted to $662,560 in total. The ending work in process inventory in January consisted of 4,000 units, which were 50% complete with respect to materials and 30% complete with respect to labor and overhead. The costs per equivalent unit for the month were as follows: Materials Labor Overhead
Cost per equivalent unit $12.70 $4.00 $6.60
Required:1. Compute the equivalent units of materials, labor, and overhead in the ending work in process inventory for the month.2. Compute the cost of ending work in process inventory for materials, labor, overhead, and in total for January.3. Compute the cost of the units transferred to the next department for materials, labor, overhead, and in total for January.4. Prepare a cost reconciliation for January.

1. Units of Ending work in process

4,000 2,0001,2001,200

2. Cost of Ending WIP $25,400$4,800 $7,920

Total for January $38,120

3.Cost of Units transferred

$340,360$107,200 $176,880

Total in January $624,440

4. Costs to be accounted for$662,560

Total cost accounted for$662,560

Explanation:

1. Compute the equivalent units of materials, labor, and overhead

Equivalent units of production (EUP) in the Ending work in process - Weighted Average method

Units%MaterialEUP-Material% LaborEUP- Labor% OverheadEUP- Overhead

Units of Ending work in process

4,00050% 2,00030%1,20030%1,200

2. Computation for the cost of ending work in process for January

Computation of Ending Work in process inventory

MaterialsLaborOverhead

Equivalent units2,0001,2001,200

×Cost per equivalent unit$12.70$4.00$6.60

=Cost of Ending WIP $25,400$4,800 $7,920

Total for January $38,120

3. Computation of the cost of the units transferred to the next department

Computation of Cost of the units transferred

Materials LaborOverheadTotal for January

Equivalent units (26,800*100%)26,80026,80026,800

×Cost per equivalent unit$12.70$4.00$6.60

=Cost of Units transferred

$340,360$107,200 $176,880Total in January $624,440

4. Preparation of a cost reconciliation for January.

Cost Reconciliation Report

Costs to be accounted for$662,560

Costs accounted for as follows:

Cost of unit transferred out$624,440

Add Cost of Ending Work in process inventory$38,120

Total cost accounted for$662,560

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