Chapter 07 – Cost Allocation: Departments, Joint Products, and By-Products
b. The step method. The second method for allocating service costs is the step method, so-called because it
uses a sequence of steps in the allocation of service department costs. In the first step, one of the service
departments is selected to be allocated fully, that is, to the other service department as well as to each of the
production departments. The second service department is allocated only to the production departments in
the same manner as the direct method. This method is more accurate because one of the reciprocal flows is
taken into account.
c. The reciprocal method. The reciprocal method takes into account all the reciprocal flows. This
accomplished by using simultaneous equations; the reciprocal flows are simultaneously determined in a
system of equations. Each service department has an equation to represent the cost to be allocated,
consisting of the first-phase allocation costs plus the cost allocated from the other department:
Allocated S1 costs = Initial allocation + Costs allocated from S2
Allocated S2 costs = Initial allocation + Costs allocated from S1
D. Joint Product Cost Allocation. Joint products are products from the same production process that have
relatively the same sales value. The split off point is the point in the production process at which the joint
products become separately identifiable. The “joint” cost for the production of the joint products is
allocated in three commonly used methods: the physical unit method, the sales value method and the net
realizable value method.
1. The physical unit method allocates the joint cost on the basis of the proportion of the
number of physical units of output for each joint product;
2. The sales value method allocates joint costs in proportion to the total sales value of each
product at the split off point; this method tends to result in similar gross margins for
each product, in contrast to the physical unit method which does not take into account
the sales value of each product
3. The net realizable value (NRV) method is used when there is no sales value at the split
off point. Here the sales value at the split off point is approximated by the “net
realizable value,” the ultimate sales value less the additional processing costs beyond
the split off point.
4. The constant gross margin percentage method When separable costs are significant and
an important goal of the allocation is to achieve an allocation that results in the same
gross margin percentage for all joint products, then a variation of the NRV method is
used. The constant gross margin percentage method determines an allocation of joint
cost so that, after allocation, all joint products have the same gross margin percentage.
E. By Product Cost Allocation (Appendix). A by product is a joint product that has a low sales value relative
to the other joint products. For this reason the cost of the by product is determined in a different manner from
the joint products. Specifically, there are two approaches to accounting for the by-product (1) include it in net
income as “other income” at either the time the by-product is sold or when the by-product is produced (in the
latter case, net income is determined from the product’s net realizable value), or (2) recognize it is as a
reduction in the cost of the main products (i.e., the other joint products) and show it as having it’s own
inventory value, either at the time of sale or the time of production , based on the by-product’s net realizable
value.
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