Thomlin Company forecasts that total overhead for the current year will be $12,300,000 with 150,000 total machine hours. Year to date, the actual overhead is $8,270,500, and the actual machine hours are 97,300 hours. If Thomlin Company uses a predetermined overhead rate based on machine hours for applying overhead, as of this point in time (year to date), the overhead is a.$291,900 overapplied b.$291,900 underapplied c.$158,100 overapplied d.$158,100 underapplied

b. $291,900 underapplied

Explanation:

With regards to the above information, we will calculate the predetermined overhead rate first.

Predetermined overhead rate = Estimated total overhead / Total machine hours

= $12,300,000 / 150,000

= $82 per machine hours

Total overhead = Predetermined overhead rate × Actual total machine hours

= $82 × 97,300

= $9,798,600

Then,

Overhead = Total overhead - Actual overhead

= $9,798,600 - $8,270,500

= $291,900 underapplied

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start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this