Question

In: Accounting

Robinson Products Company has two service departments (S1 and S2) and two production departments (P1 and...

Robinson Products Company has two service departments (S1 and S2) and two production departments (P1 and P2). The distribution of each service department’s efforts (in percentages) to the other departments is:

From

To

S1 S2 P1 P2
S1 10 % 20 % ? %
S2 10 % ? 30

The direct operating costs of the departments (including both variable and fixed costs) are:

S1 $ 180,000
S2 60,000
P1 50,000
P2 120,000

Required:

1. Determine the total cost of P1 and P2 using the direct method.

Production Dept. 1:

Production Dept. 2:

2. Determine the total cost of P1 and P2 using the step method.

Production Dept. 1:

Production Dept. 2:

3. Determine the total cost of P1 and P2 using the reciprocal method.

Production Dept. 1:

Production Dept. 2:

Solutions

Expert Solution

Solution 1:

From Service Department Cost Allocation - Direct Method
Service Department Production Departments
S1 S2 P1 P2
Direct charges of department $180,000.00 $60,000.00 $50,000.00 $120,000.00
S1 (2:7) -$180,000.00 $40,000.00 $140,000.00
S2 (6:3) -$60,000.00 $40,000.00 $20,000.00
Total $0.00 $0.00 $130,000.00 $280,000.00

Solution 2:

From Service Department Cost Allocation - Step Method (Allocation of S1 first)
Service Department Production Departments
S1 S2 P1 P2
Direct charges of department $180,000.00 $60,000.00 $50,000.00 $120,000.00
S1 (1:2:7) -$180,000.00 $18,000.00 $36,000.00 $126,000.00
S2 (6:3) -$78,000.00 $52,000.00 $26,000.00
Total $0.00 $0.00 $138,000.00 $272,000.00
From Service Department Cost Allocation - Step Method (Allocation of S2 first)
Service Department Production Departments
S1 S2 P1 P2
Direct charges of department $180,000 $60,000 $50,000 $120,000
S2 (1:6:3) $6,000 -$60,000 $36,000 $18,000
S1 (2:7) -$186,000 $41,333 $144,667
Total $0 $0 $127,333 $282,667

Solution 3:

Service department cost = Direct Cost + Allocated Cost

S1 Cost = $180,000 + 0.10* S2 cost

S2 Cost = $60,000 + 0.10 S1 cost

S2 Cost = $60,000 + 0.10 ($180,000 + 0.10*S2 Cost)

S2 Cost = $60,000 + $18,000 + 0.01*S2 Cost

S2 Cost = $78,000 / 0.99 = $78,788

S1 Cost = $180,000 + 0.10*$78,788 = $187,879

From Service Department Cost Allocation - Reciprocal Method
Service Department Production Departments
S1 S2 P1 P2
Direct charges of department $180,000 $60,000 $50,000 $120,000
S1 (1:2:7) -$187,879 $18,788 $37,576 $131,515
S2 (1:6:3) $7,879 -$78,788 $47,273 $23,636
Total $0 $0 $134,849 $275,152

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