Answer:
$4,186
Explanation:
Step 1
Determine the Overheads Applied
Total applied overhead are $38,800 ($1,520+ $9,880+$26,600)
Step 2
Determine Actual manufacturing overhead
Actual manufacturing overhead incurred is given as $42,000
Step 3
Calculate the amount under-applied or overapplied overheads
Since Actual manufacturing overhead > Applied overhead, overheads have been under-applied
Under-applied overheads are $3,200 ($42,000 - $38,800)
Step4
Allocate amount of over-applied or under applied using the balance of inventory category.
Total Inventory Categories :
Work-in process = $4,080
Finished goods = $32,850
Cost of goods sold = $85,950
Therefore,
Overheads under applied allocated to Work-in process are ( $4,080/$122,880 x $4,080 ) $106
Thus,
Balance at the end of the month = $4,080 + $106
= $4,186
The work-in-process balance at the end of the month after allocation of any underapplied manufacturing overhead for the month is $4,186