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The Night Ranger Company uses normal job-order costing with a predetermined overhead rate. The company had $7,000 in Material2. Assume that you are going to prorate (allocate) your answer in question 1 using the total balances in the appropriate acco

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Answer #1
1 Allocated overhead=(Total direct labor charged to all jobs)*Predetermined overhead rate
Predetermined overhead rate=Estimated overhead cost/Estimated direct labor cost=192000/80000=$ 2.4 per direct labor cost
Allocated overhead=(20000+18000+23600+8400)*2.4=70000*2.4=$ 168000
Actual overhead=$ 175000
Allocated overhead < Actual overhead
Hence,Overhead is underallocated
Underallocated overhead=175000-168000=$ 7000
2 Appropriate accounts are Finished goods,Work in process and cost of goods sold
Cost per unit of each jobs:
Job 20 Job 30 Job 40 Job 50
Beginning balance 12000 4000 0 0
Direct materials a 10000 14800 16760 5000
Direct labor cost b 20000 18000 23600 8400
Overhead allocated c=b*2.4 48000 43200 56640 20160
Total d=a+b+c 90000 80000 97000 33560
Units completed on jobs e 1000 500 2000
Cost per unit f=d/e 90 160 48.5
Ending balance of finished goods;
Job 5 Job 20 Job 30 Job 40 Total
Units completed on jobs 400 1000 500 2000
Less: Units sold 300 530 275 2000
Units remaining as FG inventory a 100 470 225 0
Cost per unit b 80 90 160 48.5
Cost of inventory a*b 8000 42300 36000 0 86300
Ending balance of cost of goods sold
Job 5 Job 20 Job 30 Job 40 Total
Units sold 300 530 275 2000
Cost per unit 80 90 160 48.5
Cost of goods sold 24000 47700 44000 97000 212700
Ending balance of work in process=cost of incomplete job=cost of Job 50=$ 33560
Percentage of allocation to finished goods=86300/(86300+212700+33560)=86300/332560=0.2595=25.95%=26%
3 Underallocated overhead=$ 7000
Percentage of allocation to finished goods=26%
Percentage of allocation to cost of goods sold=212700/(86300+212700+33560)=212700/332560=0.6396=63.96%=64%
Percentage of allocation to WIP=33560/(86300+212700+33560)=33560/332560=0.1009=10.09%=10%
Allocation of underallocated overhead;
To FG 7000*26%=$ 1820
To COGS 7000*64%=$ 4480
To WIP 7000*10%=$ 700
Adjusted amount of overhead in WIP=overhead allocated+under-allocated overhead prorated=168000+700=$ 168700
4 Actual overhead rate=Actual overhead/Actual direct labor cost=175000/70000=$ 2.5 per direct labor cost
Actual overhead charged to Job 50=Direct labor cost of Job 50*Actual overhead rate=8400*2.5=$ 21000
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