Answer:
Beginning 22,000
Started 60,000
Total units accounted for by the Department 82000
Units to be assigned costs:
Physical Units Materials Conversion
Beginning 22,000 17,600(80%) 6,600(30%)
Started and completed 36,000 36,000 36,000
transferred 58,000 58,000 58,000
ending 24,000 12,000(50%) 2,400(10%)
Total units 82,000 70,000 60,400
(weigthed average)
Equivalent Cost:
Direct Materials Conversion
Total cost $433,300.00 $434,880.00
Total equivalent units 70000 60,400
Cost per equivalent unit $6.19 $7.2
Costs charged to production: ![\left[\begin{array}{cccc}&Direct Materials&Conversion&Total\\$Beginning&168360&84834&253194\\$Incurred&264940&350046&614986\\$Total accounted for&&&868180\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%26Direct%20Materials%26Conversion%26Total%5C%5C%24Beginning%26168360%2684834%26253194%5C%5C%24Incurred%26264940%26350046%26614986%5C%5C%24Total%20accounted%20for%26%26%26868180%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Cost allocated to completed and partially completed units:
![\left[\begin{array}{ccccc}&Direct Materials&Conversion&Total\\$Beginning&136,180&158,400&294,580\\$Started and completed&222,840&259,200&482,040\\$Transferred-out&&&776,620\\$Ending&74,280&17,280&91,560\\$Total costs assigned&&&868,180\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D%26Direct%20Materials%26Conversion%26Total%5C%5C%24Beginning%26136%2C180%26158%2C400%26294%2C580%5C%5C%24Started%20and%20completed%26222%2C840%26259%2C200%26482%2C040%5C%5C%24Transferred-out%26%26%26776%2C620%5C%5C%24Ending%2674%2C280%2617%2C280%2691%2C560%5C%5C%24Total%20costs%20assigned%26%26%26868%2C180%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Explanation:
We add beginning and transferred-in to get total physical units
then, we apply the percentagge of completion and calcualte the equivalent units
which is under weigthed average method:
transferred-out units + percentage of completion in ending WIP
then, we calculate the equivalent cost per unit.
Last, we do the cost reconciliaton.