Answer:
$15.20
Explanation:
Computation for the cost per equivalent unit for conversion costs for the first department
First step
FIFO METHOD
IN
Beginning WIP 400
Units Introduced 5800
Total 6,200
OUT
Beginning WIP Completed 400
Production started and Completed 4,700
(5800-1100)
Ending WIP 1100
Total 6,200
Equivalent Units
Materials
% Complete Equivalent unit
Beg. WIP Completed 400 15% 60
(15%*400=60)
Production started and Completed 4,700 (5800-1100) 100% 4,700
(100%*4,700=4,700)
Ending WIP 1,100 55% 605
(55%*1,100=605)
TOTAL 5,365
(60+4700+605)
Equivalent Units
Conversion
% Complete Equivalent unit
Beg. WIP Completed 400 55% 220
(55%*400=220)
Production started and Completed 4,700 (5800-1100) 100% 4,700
(100%*4,700=4,700)
Ending WIP 1,100 45% 495
(45%*1,100=495)
TOTAL 5,415
(220+4700+495)
Second step is to Compute the cost per equivalent unit for conversion costs
Cost Statement
Equivalents unit (A) Current period cost incurred (B) Cost per unit (B/A)
Material 5,365(a) $69,500(b) $12.95
Conversion 5,415(a) $82,300(b) $15.20
Therefore the Conversion cost for the first department for the month closest to $15.20