Question

The following set up is a system of simultaneous linear equations to allocate costs using the...

The following set up is a system of simultaneous linear equations to allocate costs using the reciprocal method. Matrix algebra is not required.
The following costs were incurred in three operating departments and three service departments in Westmoreland Company.

Department Direct Costs Label
Subassemblies $ 550,000 P1
Final assembly 775,000 P2
Marketing 285,000 P3
Building occupancy 85,000 S1
Research & development 120,000 S2
Supervision 45,000 S3


Use of services by other departments is as follows.
  

User Department
Service Cost Center Sub-assemblies Final Assembly Marketing Building Occupancy R&D Supervision
Bldg. occupancy .30 .25 .20 --- .15 .10
R&D .50 .50 --- --- --- ---
Supervision .20 .30 .20 .10 .20 ---


The equation for department S3 (supervision) is:

S3 = $45,000 + .90S1 + .10S2.

S3 = .10S1.

S3 = $45,000 + .10S1.

S3 = $45,000 + 1.00S1.

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Answer #1

Answer

S3 = $45,000 + .10S1

Explanation:

While calculating costs for supervision departments, it has direct cost of $ 45,000.

Further, 10% of the building occupancy department (S1) is allocated to S3.

So, The equation for department S3 (supervision) is S3 = $45,000 + 0.10S1

In case of any doubt, please comment.

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