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MGT 5 - MANAGERIAL ACCOUNTING PROBLEM 7 GIVEN BEGINNING UNITS UNITS STARTED ENDING UNITS 6,800 24,200 3,700 DM = 100% CC = 45

can someone please explain this problem in detail?step by step?

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Answer #1
1] The first step is to layout the units to be accounted for. There were 6800 units in the beginning
WIP and units added are 24200, making it a total of 31,000 units. These units are whole units in
that the extent of processing done is not highlighted. These are shown below:
Work in process, Beginning 6800
Units added during the period 24200
Total units to be accounted for 31000
2] The next step is to find how the above units have been processed. That is how many units have been
processed fully and how many are partly processed [ending WIP units]. Here, the completed units
are 27300 [31000-3700].
On the right hand side, the EUP are calculated, that is whether the processing is complete or if not,
how much proportion of the units are completed. In other words, in respect of partially completed
units , what is the equivalent in terms of completed units. This is separately calculated for
material and conversion costs.
Here, weighted average method is used, which, assumes that the beginning WIP units [6800] have been
completed fully in this period [the % completed in the previous period is ignored]. Thus, the total units
completed during the period = 27300 [which includes the beginning WIP of 6800 units]. These would
have an EUP for materials and conversion of 27300 Units.
With respect to the beginning WIP, it is 100% complete with respect to materials and 45% complete
with respect to conversion costs. Hence, EUP for ending WIP is 3700 & 1665.
Units to be assigned costs:
Equivalent Units of Production [EUP]
Whole Units Direct Materials Conversion
Units completed during the period 27300 27300 27300
Ending, work in process 3700 3700 1665
Total units to be assigned costs 31000 31000 28965
3] Cost Information:
The next step is to accumulate the total costs incurred, which includes the cost of the beginning WIP.
After that, the cost per equivalent unit is calculated by dividing the total cost accumulated with the EUP
separately for Materials and conversion cost.
Cost per equivalent unit:
Direct Materials Conversion Total Cost
Beginning working in process $          45,000 $          27,450 $             72,450
Costs added during the month $      1,87,500 $      1,52,133 $          3,39,633
Total costs to be accounted for $      2,32,500 $      1,79,583 $          4,12,083
Total equivalent units 31000 28965
Cost per equivalent unit $            7.50 $             6.20
Costs assigned to production:
4] The final step is to assign costs separately for units completed and ending WIP, with break up for materials
and conversion costs. This is done below:
Direct Materials Conversion Total
Cost of units completed and transferred $      2,04,750 $      1,69,260 $          3,74,010
[27300*7.5] [27300*6.2]
Ending work in process inventory $         27,750 $         10,323 $             38,073
[3700*7.5] [1665*6.2]
Total costs assigned $      2,32,500 $      1,79,583 $          4,12,083
5] The total costs to be accounted for and the total costs accounted for should agree.
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