The Reciprocal Method The reciprocal method answers the complaints leveled against the direct and sequential methods by considering all support services. The reciprocal method has two steps. The first step computes the reciprocal cost of each service department. The second step uses each service department's reciprocal cost to allocate its costs. In step 1, the cost analyst begins by developing a reciprocal cost equation for each service depart- ment. The reciprocal cost for each department is the sum of its direct cost and its share (based on share of total use) of the reciprocal costs of all the service departments (including itself). Here, using the abbrevi- ation RC for reciprocal cost, are the reciprocal cost equations for each of the service departments: RC, Maintenance = $9,000,000 = (1,500/54,000) RC, Maintenance = (110/560) RC, Administration RC Administration = $20,000,000 = (2,500/54,000) RC, Maintenance = (50/560) RC, Administration With two equations in two unknowns (the reciprocal costs), the analyst can use algebra, or a com- puter, to solve the equations and get the following results: RO Maintenance = $13,836,226.42 RC Administration = $22,664,150.94 This completes step 1. In step 2, these reciprocal costs are used to allocate the service department costs to the production departments. These costs are allocated in proportion to each production department's use of the service department. Here are the resulting service department allocation equations:
The Reciprocal Method The reciprocal method answers the complaints leveled against the direct and sequential methods by considering all support services. The reciprocal method has two steps. The first step computes the reciprocal cost of each service department. The second step uses each service department's reciprocal cost to allocate its costs. In step 1, the cost analyst begins by developing a reciprocal cost equation for each service depart- ment. The reciprocal cost for each department is the sum of its direct cost and its share (based on share of total use) of the reciprocal costs of all the service departments (including itself). Here, using the abbrevi- ation RC for reciprocal cost, are the reciprocal cost equations for each of the service departments: RC, Maintenance = $9,000,000 = (1,500/54,000) RC, Maintenance = (110/560) RC, Administration RC Administration = $20,000,000 = (2,500/54,000) RC, Maintenance = (50/560) RC, Administration With two equations in two unknowns (the reciprocal costs), the analyst can use algebra, or a com- puter, to solve the equations and get the following results: RO Maintenance = $13,836,226.42 RC Administration = $22,664,150.94 This completes step 1. In step 2, these reciprocal costs are used to allocate the service department costs to the production departments. These costs are allocated in proportion to each production department's use of the service department. Here are the resulting service department allocation equations:
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Sorry! I need the reciprocal method step.I need to be able to do this algebra equation
Transcribed Image Text:The Reciprocal Method The reciprocal method answers the complaints leveled against the direct and
sequential methods by considering all support services.
The reciprocal method has two steps. The first step computes the reciprocal cost of each service
department. The second step uses each service department's reciprocal cost to allocate its costs.
In step 1, the cost analyst begins by developing a reciprocal cost equation for each service depart-
ment. The reciprocal cost for each department is the sum of its direct cost and its share (based on share of
total use) of the reciprocal costs of all the service departments (including itself). Here, using the abbrevi-
ation RC for reciprocal cost, are the reciprocal cost equations for each of the service departments:
RC,
Maintenance
= $9,000,000
= (1,500/54,000) RC,
Maintenance
= (110/560) RC,
Administration
RC
Administration
= $20,000,000
= (2,500/54,000) RC,
Maintenance
= (50/560) RC,
Administration
With two equations in two unknowns (the reciprocal costs), the analyst can use algebra, or a com-
puter, to solve the equations and get the following results:
RO
Maintenance
= $13,836,226.42
RC
Administration
= $22,664,150.94
This completes step 1.
In step 2, these reciprocal costs are used to allocate the service department costs to the production
departments. These costs are allocated in proportion to each production department's use of the service
department. Here are the resulting service department allocation equations:
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