a.Manufacturing Overhead is applied at 120% of direct labor cost.
Direct Labor cost of Work in process =$75000.
So Applied manufacturing overhead for work in process will be 120% of $75000 = $90,000
Direct Labor cost of Finished Goods = $50000
So Applied manufacturing overhead for Finished Goods will be 120% of $50000 = $60000.
Direct Labor cost of Cost of goods sold = $375000.
So Applied manufacturing overhead for cost of goods sold will be 120% of $375000 = $450,000
Total Applied manufacturing overhead is $90000 + $60000+ $450000= $600,000
Total manufacturing overhead incurred is $525000.
Over-applied manufacturing overhead is $600000- $525000 = $75000
b. When the manufacturing overhead is over applied the account will have a credit balance. To dispose the over applied amount, the manufacturing overhead account will be debited with the over applied amount and the credit will be to the 3 accounts as per their proportions.
The account balances after applying manufacturing over head are
Work in process - $75000 + $90000 = $165,000
Finished Goods - $50000+ $60000 = $110000
Cost of Goods Sold - $375000 + $450000= $825,000
Total of 3 accounts is $165000 + $110000 + $825000 = $1,100,000
Prorata of these 3 accounts will be
Work in process $165000/$1100000= 0.15
Finished Goods $110000/$1,100,000 = 0.10
Cost of Goods Sold $825000/$1,100,000 = 0.75
The over applied amount will be credited to these 3 accounts as below
Work in process $75,000 * 0.15 = $11,250
Finished Goods $75,000 * 0.10 = $7500
Cost of Goods Sold $75,000 * 0.75 = $56,250
The Journal entry will be
Manufacturing Overhead A/c Dr. $75000
To Work in process A/c Cr. $11250
To Finished Goods A/c Cr. $7500
To Cost of Goods Sold A/c Cr. $56250
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