Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departments-Molding and Fabrication. It started, completed, and sold only two jobs during March- Job P and Job Q. The following additional information is available for the company as a whole and for Jobs P and Q (all data and questions relate to the month of March): Molding Fabrication Total
Estimated total machine-hours used 2,500 1,500 4,000
Estimated total fixed manufacturing overhead $ 14,000 $ 17,400 $ 31,400
Estimated variable manufacturing overhead per machine-hour $ 3.00 $ 3.80
Job P Job Q
Direct materials $ 29,000 $ 16,000
Direct labor cost $ 33,800 $ 13,900
Actual machine-hours used:
Molding 3,300 2,400
Fabrication 2,200 2,500
Total 5,500 4,900
Sweeten Company had no underapplied or overapplied manufacturing overhead costs during the month.
What was the company's plantwide predetermined overhead rate? (Round your answer to 2 decimal places.)

Predetermined manufacturing overhead rate= $11.15 per machine hour

Explanation:

Molding Fabrication Total

Estimated total machine-hours used 2,500 1,500 4,000

Estimated total fixed manufacturing overhead $ 14,000 $ 17,400 $ 31,400

Estimated variable manufacturing overhead per machine-hour $ 3.00 $ 3.80

To calculate a single plantwide predetermined overhead rate, we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Total fixed overhead= $31,400

Total variable overhead= (3*2,500) + (3.8*1,500)= $13,200

Total Machine hours= 4,000

Predetermined manufacturing overhead rate= (31,400 + 13,200) / 4,000

Predetermined manufacturing overhead rate= $11.15 per machine hour

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

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