Answer:
The cost of work-in-process inventory as of December 31, 20x1 is:
= $368,998.40
Physical units:
For materials = 320,000 units
For conversion = 156,800 units
Explanation:
a) Data and Calculations:
Units Materials Labor
Work in process, January 1, 20x1 310,000 $310,000 $315,400
(84% complete as to conversion)
Units started in production 1,510,000 1,510,000 1,510,000
Direct-material costs $2,966,000
Direct-labor costs $2,998,200
Total costs $3,276,000 $3,313,600
Units started in production 1,510,000 1,510,000 1,510,000
Work in process, December 31, 20x1 320,000 320,000 156,800
Total equivalent units 1,830,000 1,666,800
Costs per equivalent unit $1.79 $1.988
Cost of Ending WIP = $ (320,000 *$1.79 + 156,800*$1.988)
= $57,280 for materials + $311,718.40 for materials
= $368,998.40
b) The weighted average method was used to calculate the equivalent units. With this method, the beginning units of work-in-process are not part of the calculation (only the units started and completed and the ending work-in-process are). However, the costs of the beginning work-in-process form part of the calculation together with the cost of units started and completed during the current period.