Overview: Reciprocal Method
of Cost Allocation
Article
written by EricBank
The topic of intra-company cost allocation can sometimes seem a little
hairy. Many businesses are structured with departments that provide service and
support to production departments and to other service departments. For
example, your company might have a private gym and a food service department.
Non-production departments can be costly to run, so using a cost allocation
scheme ensures that production departments pick up their fair shares of these
costs. One of three widely used techniques for allocating the costs of service
departments is the reciprocal, or double-distribution, method. The direct and
step-down methods are the two other popular ones, but as we discuss below, the
reciprocal method usually gives the most accurate results.
Benefits of Cost Allocation
There is no better way to sensitize a department manager to the
budgetary impact of service costs than to assign these costs to the manager's
department. You know you are getting the manager's attention if the department
suddenly adjusts its budget to reduce its utilization of overhead service from
other departments once these services come with a price tag. Another benefit of
overhead-cost allocation is to ration it, on the assumption that these costs
involve scarce or expensive resources. For example, you might have a company
with a central Information Technology Department that services requests from
six other departments. No matter how many people you hire, you never have
enough to quickly satisfy all requests. In this case, department managers might
bid for IT services by rearranging their budgets to support more of this
overhead. Presumably, those with the greatest needs would make the highest
bids.
Cost Allocation Methods
The easiest technique for assigning service department costs is the
direct method. That's because it allocates costs to production departments only
and turns a blind eye to the overhead costs between service departments. For
example, the food service department wouldn't charge the gym personnel for
their snacks, and the gym wouldn't allocate costs to the food service employees
who use the gym. The step-down method allocates service department costs in
only one direction. For example, the company might allocate gym usage cost to
the food service department but charge no food service costs to the gym. The
reciprocal method would charge costs in both directions.
Reciprocal Method
The reciprocal method permits service departments to charge each other
for the services they deliver. You must solve a set of simultaneous equations
to use this method. Luckily, computer programs or spreadsheets provide this
functionality. Some rational metric serves to allocate costs to each
department. Metrics such as the physical square footage of a department or its
number of employees are popular choices.
Example
Let's say your business has three support departments, A, B and C, and
two production departments, M and N. To allocate costs using the reciprocal
method, you first assign each support department a linear equation. Then you
simultaneously solve all three equations. Suppose the annual budget of Dept. A
is $70,000 and that it uses 9 percent of Dept. B's services. Thus, Dept. A's
linear equation sets its assignable costs equal to $70,000 plus 9 percent of
Dept. B's budget. Similarly, you set up linear equations for the other support
departments, let the computer solve them, and then modify the budgets of the
production departments to absorb these costs.
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