A firm has four service centers, S1, S2, S3, and S4, which provide services to each other, as well as to three operating divisions, A, B, and C. The distribution of each service center’s output as well as its cost (in millions) is given in the following table.

Required:
Using the reciprocal method, allocate the costs of the service centers to the three operating divisions.

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S1 S2 S3 S4 $1 0.05 0.08 0.09 0.12 S2 0.11 0.03 0.16 0.13 Fraction of Service Center Output Used Division Division B S3 0.19 0.14 0.04 0.02 S4 0.22 0.31 0.16 0.09 0.14 0.14 0.24 0.22 0.16 0.20 0.08 0.23 Division 0.13 0.10 0.23 0.19 Total Cost $ 4.80 7.30 6.50 5.90 $24.50