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A firm has two production departments: Department X and Department Y. Both production departments are supported by two service departments: Department A (i.e. the power

A firm has two production departments: Department X and Department Y.

Both production departments are supported by two service departments: Department A (i.e. the power department) and Department B (i.e. the maintenance department). Departments A and B also consume service from one another.

The work done by Departments A and B is summarized in the table below (work by Department A is in kilowatt-hours; work by Department B is in labor hours).

A B X Y
Department A (Power) 0 100 150 50
Department B (Maintenance) 75 0 125 100

Costs of Department A are $100,000, and costs for Department B are $120,000.

Using the step-down method, what is Department As allocation to Department X (round to nearest dollar if necessary)?

(Assume Department Bs costs are allocated to production departments and stepped down to Department A first, before Department As costs are allocated.)

a.

$65,000

b.

$97,500

c.

$75,000

d.

$50,000

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