Answer:
1. Predetermined overhead rate=(997,500/70,000)=$14.25 per hour
2. Over-applied=$129,000
3. The journal entry will include a debit of $129,000 to the manufacturing overhead account and a credit to the cost of goods sold of the same amount.
Explanation:
1.
Step 1: Determine firm's predetermined overhead rate.
The firm's predetermined overhead rate can be expressed as;
P=BMO/BDL
where;
P=predetermined overhead rate
BMO=Budgeted manufacturing over head
BDL=Budgeted direct labor cost
This can also be written as;
Predetermined overhead rate=(Budgeted manufacturing over head/Budgeted direct labor cost)
In our case;
Predetermined overhead rate=unknown, to be determined
Budgeted manufacturing over head=$997,500
Budgeted direct labor cost=70,000 hours
Substituting;
Predetermined overhead rate=(997,500/70,000)=$14.25 per hour
2.
Step 2: Determine the over-applied or under-applied overhead for the year
The over-applied or under-applied overhead can be expressed as shown below;
O/U=AO-AM
where;
O/U=over-applied or under-applied overhead
AO=applied overhead
AM=actual manufacturing overhead
This can also be written as;
Over-applied or under-applied overhead=Applied overhead-actual manufacturing overhead
In our case;
Over-applied or under-applied overhead=unknown, to be determined
Applied overhead=Predetermined overhead rate×Actual direct-labor cost
and;
Predetermined overhead rate=$14.25 per hour
Actual direct-labor cost=80,000 hours
Applied overhead=(14.25×80,000)=$1,140,000
Actual manufacturing overhead=All manufacturing overhead except indirect materials+indirect materials
and;
All actual manufacturing overhead except indirect materials=$932,000
Indirect materials=(47,000+95,000-63,000)=$79,000
Actual manufacturing overhead=(932,000+79,000)=$1,011,000
Substituting in the original expression;
Over-applied or under-applied overhead=(1,140,000-1,011,000)=$129,000
Over-applied=$129,000
3.
Step 3: Close out the Manufacturing Overhead account into Cost of Goods Sold.
At the end of the year, the balance in the manufacturing overhead account which can either be overapplied or underapplied is disposed of by transferring the amount to the cost of goods sold. This can be journalized as follows;
Since the overhead is over-applied;
Account Name Debit Credit
Manufacturing overhead $129,000
Cost of goods sold $129,000
The journal entry will include a debit of $129,000 to the manufacturing overhead account and a credit to the cost of goods sold of the same amount.
