Coatney Inc.has provided the following data for the month of October.There were no beginning inventories; consequently, the direct materials, direct labor, and manufacturing overhead applied listed below are all for the current month. Manufacturing overhead for the month was overapplied by $7,000. The Corporation allocates any underapplied or overapplied manufacturing overhead among work in process, finished goods, and cost of goods sold at the end of the month on the basis of the manufacturing overhead applied during the month in those accounts.
The finished goods inventory at the end of October after allocation of any underapplied or overapplied manufacturing overhead for the month is closest to:

A) $35,686
B) $33,374
C) $33,410
D) $35,650

To determine the finished goods inventory at the end of October, we need to determine the total cost of goods manufactured and adjust for any overapplied or underapplied manufacturing overhead.

Total manufacturing costs = Direct materials + Direct labor + Applied manufacturing overhead
Total manufacturing costs = $149,000 + $94,000 + $58,000
Total manufacturing costs = $301,000

Cost of goods manufactured = Total manufacturing costs + Beginning work in process - Ending work in process
Since there were no beginning work in process and all units produced were sold or put into finished goods, Cost of goods manufactured = Total manufacturing costs

Cost of goods manufactured = $301,000

To allocate the overapplied manufacturing overhead, we need to determine the percentage of manufacturing overhead applied during the month in the accounts of work in process, finished goods, and cost of goods sold.

Manufacturing overhead applied = Total manufacturing overhead - Overapplied manufacturing overhead
Manufacturing overhead applied = $58,000 - $7,000
Manufacturing overhead applied = $51,000

Percentage of manufacturing overhead applied to work in process = $0 / $301,000 = 0%
Percentage of manufacturing overhead applied to finished goods = $91,000 / $301,000 = 30.23%
Percentage of manufacturing overhead applied to cost of goods sold = $210,000 / $301,000 = 69.77%

We can now allocate the overapplied manufacturing overhead to finished goods.

Overapplied manufacturing overhead allocated to finished goods = Percentage of manufacturing overhead applied to finished goods x Amount of overapplied manufacturing overhead
Overapplied manufacturing overhead allocated to finished goods = 30.23% x $7,000
Overapplied manufacturing overhead allocated to finished goods = $2,121

Adjusted cost of goods manufactured = Cost of goods manufactured + Overapplied manufacturing overhead allocated to finished goods
Adjusted cost of goods manufactured = $301,000 + $2,121
Adjusted cost of goods manufactured = $303,121

Finished goods inventory at the end of October = Adjusted cost of goods manufactured - Cost of goods sold
Finished goods inventory at the end of October = $303,121 - $269,711
Finished goods inventory at the end of October = $33,410

Therefore, the finished goods inventory at the end of October after allocation of any underapplied or overapplied manufacturing overhead for the month is closest to $33,410, making option C the correct answer.

Ending finished goods inventory after allocation of overapplied manufacturing overhead = $34,530 - [($6,240/$39,000)× $7,000] = $34,530 - (16% × $7,000)= $33,410