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Exercise 4-6 Assigning overhead costs using the plantwide rate and departmental rate methods LO P1, P2...

Exercise 4-6 Assigning overhead costs using the plantwide rate and departmental rate methods LO P1, P2

Laval produces lamps and home lighting fixtures. Its most popular product is a brushed aluminum desk lamp. This lamp is made from components shaped in the fabricating department and assembled in the assembly department. Information related to the 33,000 desk lamps produced annually follows.

Direct materials $ 270,000
Direct labor
Fabricating department (6,000 DLH × $28 per DLH) $ 168,000
Assembly department (16,000 DLH × $29 per DLH) $ 464,000
Machine hours
Fabricating department 14,700 MH
Assembly department 20,300 MH

  
Expected overhead cost and related data for the two production departments follow.

Fabricating Assembly
Direct labor hours 190,000 DLH 325,000 DLH
Machine hours 169,000 MH 121,000 MH
Overhead cost $ 330,000 $ 405,000

  
Required
1. Determine the plantwide overhead rate for Laval using direct labor hours as a base.
2. Determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.
3. Compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.
4. Use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

Solutions

Expert Solution

Particulars Units
Total Units 33,000
Particulars Amt
Direct Material 270000
Direct Labor: DLH MH
F Dept 168000 F Dept 6000 14700 28.00
A Dept 464000 A Dept 16000 20300 29.00
Total 22000 35000
Units 33000 33000
F Dept A Dept Total PU Hours 0.67 1.06
Overhead Cost 330000 405000 735000
DLH 190000 325000 515000
1 Plant Wide OH Rate (TotalOH/Total DLH) 1.43
2 Total Manufacturing Cost: PU
Direct Material 8.18 (DM/Units)
Direct Labor:
Fabrication Dept 5.09 (DL F Dep/Units)
Assembly Dept 14.06 (DL A Dep/Units)
Overhead Allocated 0.95
(6000+16000)*1.43)/Units
Total Cost 28.28
3 Departmentwise OH Rate:
Department Name Allocation Base Overhead Total Base Rate per Base
Fabrication Dept MH 330000 169000 1.95
Assembly Dept DLH 405000 325000 1.25
4 Total Manufacturing Cost: PU
Direct Material 8.18 (DM/Units)
Direct Labor:
Fabrication Dept 5.09 (DL F Dep/Units)
Assembly Dept 14.06 (DL A Dep/Units)
Overhead Allocated
Fabrication Dept 0.87 (14700*1.95)/Units
Assembly Dept 0.60 (16000*1.25)/Units
Total Cost 28.81

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