Result:
closing work in process = $42,700
Explanation:
all materials introduced at the start of the process:
initial work in process = 18,000
units initiated = 160,000
closing work in process = 7,000
equivalent units for materials = 160,000 + 7,000 = 167,000
conversion costs:
initial work in process = 18,000 x 10%, thus 90% added = 16,200
units started and moved out = 160,000 - 7,000 = 153,000 x 100% = 153,000
closing work in process = 7,000 x 40% = 2,800
equivalent units for conversion costs = 16,200 + 153,000 + 2,800 = 172,000
closing work in process = 7,000 units
100% complete for materials = 7,000 x $3.10 = $21,700
40% complete for conversion costs = 2,800 x $7.50 = $21,000
total closing work in process = $42,700