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Mullins Corporation uses the FIFO method in its process costing system. Data concerning the first processing...

Mullins Corporation uses the FIFO method in its process costing system. Data concerning the first processing department for the most recent month are listed below:

Beginning work in process inventory:
Units in beginning work in process inventory 900
Materials costs $ 11,900
Conversion costs $ 22,400
Percent complete with respect to materials 75 %
Percent complete with respect to conversion 65 %
Units started into production during the month 9,000
Units transferred to the next department during the month 8,200
Materials costs added during the month $ 163,300
Conversion costs added during the month $ 352,500
Ending work in process inventory:
Units in ending work in process inventory 1,700
Percent complete with respect to materials 65 %
Percent complete with respect to conversion 50 %

The cost of ending work in process inventory in the first processing department according to the company’s cost system is closest to: (Round equivalent units to the nearest whole number and round all other intermediate calculations to 3 decimal places.)

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Answer #1

Ending work in process= $56,305

Working

STEP 1 (FIFO)
Reconciliation of Units
Units % already completed % completed this period
Material Conversion cost Material Conversion cost
Beginning WIP                   900 75% 65% 25% 35%
Units introduced               9,000
Total units to be accounted for               9,900
Completed and Transferred unit               8,200 0% 0% 100% 100%
Ending WIP               1,700 0% 0% 65% 50%

.

STEP 2 (FIFO)
Equivalent Units
Total Units Material Conversion cost
Units Transferred: % completed this period Equivalent Units % completed this period Equivalent Units
From WIP                   900 25%                         225 35%                              315
From units started/Introduced               7,300 100%                      7,300 100%                          7,300
Total               8,200                      7,525                          7,615
Total Units Material Conversion cost
Ending WIP % completed this period Equivalent Units % completed this period Equivalent Units
Total               1,700 65%                      1,105 50%                              850
Total EUP               9,900                      8,630                          8,465

.

STEP 3
Cost per Equivalent Units AND Cost to be accounted for
Material Conversion cost TOTAL
Cost incurred in Current Period $ 163,300 $ 352,500 $ 515,800
Total Equivalent Units                                                 8,630                                                         8,465
Cost per Equivalent Units $ 18.92 $ 41.64 $ 60.56
Cost of Beginning WIP $ 34,300
Total cost to be accounted for $ 550,100

.

STEP 4
Cost report [Including Reconciliation]
Cost of Units Transferred                 8,200.00 units
Equivalent Units [Step 2] Cost per Equivalent Units [Step 3] Cost of Units Transferred TOTAL
A From Beginning WIP:
Material                        225 $ 18.922 $ 4,257
Conversion cost                        315 $ 41.642 $ 13,117 $ 17,375
B From units started & completed
Material                     7,300 $ 18.922 $ 138,131
Conversion cost                     7,300 $ 41.642 $ 303,987 $ 442,117
C=A+B Total $ 459,492
D Cost of Beginning WIP $ 34,300
E=C+D Total Cost of Units transferred $ 493,792
Cost of Ending WIP                 1,700.00 units
Equivalent Units [Step 2] Cost per Equivalent Units [Step 3] Cost of Ending WIP TOTAL
F Material                     1,105 $ 18.922 $ 20,909
G Conversion cost                        850 $ 41.642 $ 35,396
H = F + G Total Cost of Ending WIP $ 56,305
I = E + H Total Cost accounted for $ 550,096
J Rounding Off Differences $ 4
K = I + J Total cost to be accounted for [equals to computed in STEP 3] $ 550,100
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