In: Accounting
Washington, Inc., makes three models of motorized carts for
vacation resorts, X-10, X-20, and X-40. Washington manufactures the
carts in two assembly departments: Department A and Department B.
All three models are processed initially in Department A, where all
material is assembled. The X-10 model is then transferred to
finished goods. After processing in Department A, the X-20 and X-40
models are transferred to Department B for final assembly, and then
transferred to finished goods.
There were no beginning work-in-process inventories on April 1. Data for April are shown in the following table. Ending work in process is 20 percent complete in Department A and 60 percent complete in Department B. Conversion costs are allocated based on the number of equivalent units processed in each department.
Total |
X-10 |
X-20 |
X-40 |
|||||||||
Units started |
570 |
330 |
230 |
|||||||||
Units completed in Department A |
390 |
260 |
190 |
|||||||||
Units completed in Department B |
220 |
150 |
||||||||||
Materials |
$ |
365,750 |
$ |
71,250 |
$ |
99,000 |
$ |
195,500 |
||||
Conversion costs: |
||||||||||||
Department A |
$ |
291,850 |
||||||||||
Department B |
52,250 |
|||||||||||
Total conversion costs |
$ |
344,100 |
||||||||||
Required:
a. What is the unit cost of each model transferred to finished goods in April?
b. What is the balance of work-in-process inventory on April 30 for Department A? Department B?
Equivalent units Department A = 390 + (570-390) x 20% + 260 + (330-260) x 20% + 190 + (230-190) x20% = 898units
Conversion cost per unit Department A = $291,850 / 898 = $325 per unit
Equivalent units Department B = 220 + (260-220) x 60% + 150 + (190-150) x 60%
= 418 units
Conversion cost per unit Department B = $52,250 / 418 = $125 per unit
Material Cost per unit
=
Material cost / units started
X-10 = $71,250 / 570 = $125 per unit
X-20 = $99,000 / 330 = $300 per unit
X-40 = $195,500 / 230 = $850 per unit
Unit Cost of each model
=
material cost per unit + each department cost
X-10 = $125+325 = $450 per unit
X-20 = $300+325+125 = $750 per unit
X-40 = $850+325+125 = $1,300 per unit
B. Balance in work in process ending inventory
X-10 = 180
x $125 +180 x 20% x 325 = $34,200
X-20 = 70 x $300 + 70 x 20% x 325 = $25,550
X-40 = 40 x 850 + 40 x 20% x 325 = $36,600
Department A = $96,350
X-20 = 40 x
(300+325) + 40 x 60% x 125 = $28,000
X-40 = 40 x (850+325) + 40 x 60% x 125 = $50,000
Department B = $78,000
Thank you
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