Answer: Lorein company's actual manufacturing overhead is greater than applied manufacturing overhead, so overhead has been under-applied to the extent of $100,000.
We have:
Estimated Manufacturing overhead = $650,000
Estimated Direct Labor hours = 130,000 hours
Actual Manufacturing Overhead = $650,000
Actual Direct Labor hours = 110,000 hours.
Calculation of Estimated (Predetermined) Overhead rate:
[tex] Estimated overhead rate =\frac{Estimated overhead}{Estimated labor hours} [/tex]
[tex] Estimated overhead rate = $5 (650,000/130,000) [/tex]
Calculation of Applied manufacturing overhead:
[tex] Applied overhead = Estimated overhead rate * Actual production hours [/tex]
[tex] Applied overhead = $550,000 (5 * 110,000) [/tex]
Calculation of underapplied or overapplied manufacturing overhead:
Under or over applied overhead = Actual Overhead - Applied Overhead
If actual overheads are less than applied overheads, then overheads have been over-applied.
If actual overheads are more than applied overheads, then overheads have been under-applied.
In this case,
[tex] Actual overhead - Applied overhead = 650000 - 550000 = $100000 [/tex]