Question

Robinson Products Company has two service departments (51 and 52) and two production departments (P1 and P2). The distributio

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Answer #1
From S1 S2 P1 P2
S1 20% 30% 50%
S2 20% 40% 40%

1. Direct method:

S1 S2 P1 P2
Direct operation cost 235000 77000 64000 190000
S1 (30:50) -235000 88125 146875
S2 (40:40) -77000 38500 38500
Total cost 190625 375375

2. Step method:

S1 S2 P1 P2
Direct operation cost 235000 77000 64000 190000
S1 (20:30:50) -235000 47000 70500 117500
S2 (40:40) -124000 62000 62000
Total cost 196500 369500

3. Reciprocal method:

Workings:

Let X be the total cost of S1 Department

& Y be the total cost of S2 Department

Then, the equations will be:

  • X = $235000 + 0.2 Y              ......................           (1)
  • Y = $77000 + 0.2 X                ......................           (2)

Solving the Above Two Equation:

X = $235000 + 0.2 ($77000 + 0.2 X)

X = 235000 + 15400 + 0.04X

X = 260833

Y = $77000 + 0.2 (260833)

Y = 129167

Hence, Total cost of S1 Dept. = $260833 & S2 Dept. = $129167

S1 S2 P1 P2
Direct operation cost 235000 77000 64000 190000
S1 (20:30:50) -260833 52167 78250 130416
S2 (20:40:40) 25833 -129167 51667 51667
Total cost 193917 372083
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