Eclipse Motor Company manufactures two types of specialty electric motors, a commercial motor and a residential motor, through two production departments, Assembly and Testing. Presently, the company uses a single plantwide factory overhead rate for allocating factory overhead to the two products. However, management is considering using the multiple production department factory overhead rate method. The following factory overhead was budgeted for Eclipse: Assembly Department $280,000
Testing Department 800,000
Total $1,080,000

Direct machine hours were estimated as follows:

Assembly Department 4,000 hours
Testing Department 5,000
Total 9,000 hours

In addition, the direct machine hours (dmh) used to produce a unit of each product in each department were determined from engineering records, as follows:

Commercial Residential
Assembly Department 1.5 dmh 1.0 dmh
Testing Department 3.0 2.0
Total machine hours per unit 4.5 dmh 3.0 dmh

Required:
a. Determine the per-unit factory overhead allocated to the commercial and residential motors under the single plantwide factory overhead rate method, using direct machine hours as the allocation base.
b. Determine the per-unit factory overhead allocated to the commercial and residential motors under the multiple production department factory overhead rate method, using direct machine hours as the allocation base for each department.

A. Commercial 540

Residential 360

B. Commercial 585

Residential 390

Explanation:

a) Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors .

First step is to calculate the Plantwide overhead rate using this formula

Plantwide overhead rate =Estimated overhead /Esimated machine hours

Let plug in the formula

Plantwide overhead rate = 1080000/9000

Plantwide overhead rate = $ 120 per MH

Now let Determine the per-unit factory overhead allocated to the commercial and residential motors

Using this formula

Per -unit factory overhead allocated=Actual MH per unit*Plantwide overhead rate

Let plug in the formula

Per -unit factory overhead allocated to COMMERCIAL=4.5 dmh*120

Per -unit factory overhead allocated to COMMERCIAL=540

Per -unit factory overhead allocated toRESIDENTIAL=3.0 dmh*120

Per -unit factory overhead allocated toRESIDENTIAL=360

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the single plantwide factory overhead rate method will be:

Commercial 540

Residential 360

b. Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors

First step is to calculate the Departmental overhead rate

ASSEMBLYTESTING

Estimated overhead280,000800,000

÷Estimated machine hours each department4,0005,000

=Departmental overhead rate70160

Now calculation the per-unit factory overhead allocated to the commercial and residential motors

COMMERCIALRESIDENTIAL

Assembly 1.5 dmh*70=1051.0 dmh*70=70

Testing3.0*160= 4802.0*160= 320

Per -unit factory overhead allocated 585 390

(105+480=585)

(70+320=390)

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the multiple production department factory overhead rate method will be:

Commercial 585

Residential 390

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