10-1 Introduction
There are many instances where a company will operate a single production process that results in more than one product, none of which can be clearly identified through the early stages of production. Examples of such merged production are in the wood products industry, where a tree can be cut into a wide variety of end prod- ucts, or meat packing, where an animal can be cut into many different finished goods. Up to the point where individual products become clearly identifiable in the production process, there is no clear-cut way to assign costs to products. This issue is of considerable importance to the inventory accountant, who must have a consistent method for assigning costs to these items. We will discuss several cost al- location methods in this chapter that deal with this problem and also note the use- fulness (or lack thereof) of these allocation methods.
The key point emphasized by this chapter is that the allocation of costs through any method discussed in this chapter is essentially arbitrary in nature—it results in some sort of cost being assigned to a joint product or by-product, but these costs are only useful for financial or tax reporting purposes, not for management decisions.
10-2 The Nature of Joint Costs
To understand joint products and by-products, one must have a firm understanding of the split-off point. This is the last point in a production process where it is impos- sible to determine the nature of the final products. All costs that have been incurred by the production process up until that point—both direct and overhead—must somehow be allocated to the products that result from the split-off point. Any costs incurred thereafter can be charged to specific products in the normal manner. Thus, a product that comes out of such a process will be composed of allocated costs from
1Adapted with permission from Chapter 15 of Bragg, Cost Accounting: A Comprehensive Guide, John Wiley & Sons, 2001.
before the split-off point and costs that can be directly traced to it, which occur after the split-off point.
A related term is the by-product, which is one or more additional products that arise from a production process, but whose potential sales value is much smaller than that of the principal joint products that arise from the same process. As we will see, the accounting for by-products can be somewhat different.
A complication to the joint cost concept is that there can be more than one split- off point. As noted in Exhibit 10-1, we see the processing in a slaughterhouse, where the viscera are removed early in the process, creating a by-product. This is the first split-off point. Then the ribs are split away from the carcass, which is a second split- off point. The ribs may in turn be packaged and sold off at once, or processed fur- ther to produce additional products, such as prepackaged barbequed ribs. In this instance, some costs incurred through the first split-off point may be assigned to the by-product viscera (more on that later), while costs incurred between the first and second split-off points will no longer be assigned to the viscera, but must in turn be assigned to the remaining products that can be extracted from the carcass.
Finally, costs that must be incurred to convert ribs into final products will be as- signed directly to those products. This is the basic cost flow for joint products and by-products.
10-3 The Reasoning Behind Joint and By-product Costing As we will see in the next section, the allocation of costs to products at the split- off point is essentially arbitrary in nature. Although two standard methods are used, neither one leads to information that is useful for management decision making.
Why, then, must the inventory accountant be concerned with the proper cost alloca- tion methodology for joint products and by-products?
Exhibit 10-1 Multiple Split-Off Points for Joint Products and By-products
Full Carcass
Viscera
Remainder of Carcass
Flavored Rib Products Split-off
Point
Split-Off Point Ribs
Additional Processing
Because there are accounting and legal reasons for doing so. Generally accepted accounting principles (GAAP) require that costs be assigned to products for inven- tory valuation purposes. Although the costs incurred by a production process up to the split-off point cannot be clearly assigned to a single product, it is still neces- sary to find some reasonable allocation method for doing so, in order to obey the accounting rules. Otherwise, all costs incurred up to the split-off point could rea- sonably be charged off directly to the cost of goods sold as an overhead cost, which would result in enormous overhead costs and few direct costs (only those incurred after the split-off point).
The logic used for allocating costs to joint products and by-products has less to do with some scientifically derived allocation method and more with finding a quick and easy way to allocate costs that is reasonably defensible (as we will see in the next section). The reason for using simple methodologies is that the promulgators of GAAP realize there is no real management use for allocated joint costs—they cannot be used for determining break-even points, setting optimal prices, or figur- ing out the exact profitability of individual products. Instead, they are used for any of the following purposes, which are more administrative in nature:
Inventory valuation. It is possible to manipulate inventory levels (and therefore the reported level of income) by shifting joint cost allocations toward those prod- ucts that are stored in inventory. This practice is obviously discouraged, because it results in changes to income that have no relationship to operating conditions.
Nonetheless, one should be on the lookout for the deliberate use of allocation methods that will alter the valuation of inventory.
Income reporting. Many organizations split their income statements into sub- levels that report on profits by product line or even individual product. If so, joint costs may make up such a large proportion of total production costs that these income statements will not include the majority of production costs, un- less they are allocated to specific products or product lines.
Transfer pricing. A company can alter the prices at which it sells products among its various divisions, so that high prices are charged to those divisions located in high-tax areas, resulting in lower reported levels of income tax against which those high tax rates can be applied. A canny inventory accounting staff will choose the joint cost allocation technique that results in the highest joint costs being assigned to products being sent to such locations (and the reverse for low-tax regions).
Bonus calculations. Manager bonuses may depend on the level of reported prof- its for specific products, which in turn are partly based on the level of joint costs allocated to them. Thus, managers have a keen interest in the calculations used to assign costs, especially if some of the joint costs can be dumped onto products that are the responsibility of a different manager.
Cost-plus contract calculations. Many government contracts are based on the reimbursement of a company’s costs, plus some predetermined margin. In this situation, it is in a company’s best interests to ensure that the largest possible
proportion of joint costs are assigned to any jobs that will be reimbursed by the customer, while the customer will be equally interested, but because of a desire to reducethe allocation of joint costs.
Insurance reimbursement. If a company suffers damage to its production or inventory areas, some finished goods or work-in-process inventory may have been damaged or destroyed. If so, it is in the interests of the company to fully allocate as many joint costs as possible to the damaged or destroyed stock, so that it can receive the largest possible reimbursement from its insurance provider.
Next, we will look at the two most commonly used methods for allocating joint costs to products, which are based on product revenues for one method and gross margins for the other.
10-4 Cost Allocation Methodologies
Although several cost allocation methodologies have been proposed in the account- ing literature, only two methods have gained widespread acceptance. The first is based on the sales value of all joint products at the split-off point. To calculate it, the inventory accountant compiles all costs accumulated in the production process up to the split-off point, determines the eventual sales value of all products created at the split-off point, and then assigns these costs to the products based on their rel- ative values. If there are by-products associated with the joint production process, they are considered to be too insignificant to be worthy of any cost assignment, al- though revenues gained from their sale can be charged against the cost of goods sold for the joint products. This is the simplest joint cost allocation method, and it is particularly attractive, because the inventory accountant needs no knowledge of any production processing steps that occur after the split-off point.
This different treatment of the costs and revenues associated with by-products can lead to profitability anomalies at the product level. The trouble is that the deter- mination of whether a product is a by-product or not can be subjective; in one com- pany, if a joint product’s revenues are less than 10% of the total revenues earned, then it is a by-product, whereas another company might use a 1% cutoff figure in- stead. Because of this vagueness in accounting terminology, one company may as- sign all of its costs to just those joint products with an inordinate share of total revenues, and record the value of all other products as zero. If a large quantity of these by-products were to be held in stock at a value of zero, the total inventory val- uation would be lower than another company would calculate, simply because of their definition of what constitutes a by-product.
A second problem with the treatment of by-products under this cost allocation scenario is that by-products may only be sold off in batches, which may only occur once every few months. This can cause sudden drops in the cost of joint products in the months when sales occur, because these revenues will be subtracted from their cost. Alternately, joint product costs will appear to be too high in those periods when there are no by-product sales. Thus, one can alter product costs through the timing of by-product sales.
A third problem related to by-products is that the revenues realized from their sale can vary considerably, based on market demand. If so, these altered revenues will cause abrupt changes in the cost of those joint products against which these revenues are netted. It certainly may require some explaining by the inventory ac- countant to show why changes in the price of an unrelated product caused a change in the cost of a joint product! This can be a difficult concept for a nonaccountant to understand.
The best way to avoid the three issues just noted is to avoid the designation of anyproduct as a by-product. Instead, every joint product should be assigned some proportion of total costs incurred up to the split-off point, based on their total po- tential revenues (however small they may be), and no resulting revenues should be used to offset other product costs. By avoiding the segregation of joint products into different product categories, we can avoid a variety of costing anomalies.
The second allocation method is based on the estimated final gross margin of each joint product produced. The calculation of gross margin is based on the revenue that each product will earn at the end of the entire production process, less the cost of all processing costs incurred from the split-off point to the point of sale. This is a more complicated approach, because it requires the inventory accountant to ac- cumulate additional costs through the end of the production process, which in turn requires a reasonable knowledge of how the production process works and where costs are incurred. Although it is a more difficult method to calculate, its use may be mandatory in those instances where the final sale price of one or more joint products cannot be determined at the split-off point (as is required for the first al- location method), thereby rendering the other allocation method useless.
The main problem with allocating joint costs based on the estimated final gross margin is that it can be difficult to calculate if there is a great deal of customized work left between the split-off point and the point of sale. If so, it is impossible to determine in advance the exact costs that will be incurred during the remaining production process. In such a case, the only alternative is to make estimates of expected costs that will be incurred, base the gross margin calculations on this in- formation, and accept the fact that the resulting joint cost allocations may not be provable, based on the actual costs incurred.
The two allocation methods described here are easier to understand with an ex- ample, which is shown in Exhibit 10-2. In the exhibit, we see that $250 in joint costs have been incurred up to the split-off point. The first allocation method, based on the eventual sale price of the resulting joint products, is shown beneath the split-off point. In it, the sale price of the by-product is ignored, leaving a revenue split of 59%
and 49% between products A and B, respectively. The joint costs of the process are allocated between the two products based on this percentage.
The second allocation method, based on the eventual gross margins earned by each of the products, is shown to the right of the split-off point. This calculation includes the gross margin on sale of product C, which was categorized as a by- product, and therefore ignored, in the preceding calculation. This calculation results in a substantially different sharing of joint costs between the various prod- ucts than we saw for the first allocation method, with the split now being 39%,
146
Exhibit 10-2Example of Joint Cost Allocation Methodologies Total Costs Incurred = $250.00 Percent Final of Total Cost Name Type Revenue Revenues Allocation Product A Joint $ 12.00 59% $ 148.15 Product B Joint 8.25 41% 101.85 Product C Byproduct — 0% — $ 20.25 100% $ 250.00
Costs Margin Percent Final After After of Total Cost Revenue Split-Off Split-Off Revenues Allocation Product A $ 12.00 $ 8.50 $ 3.50 39% $ 97.22 Product B 8.25 3.00 5.25 58% 145.83 Product C 0.25 — 0.25 3% 6.94 $ 20.50 $ 11.50 $ 9.00 100% $ 250.00 Joint Cost Allocation Based on Estimated Sales Value at the Split-off Point
Joint Cost Allocation Based on Gross Margin After Split-Off Point
Split-off Point Final Sale Point
58%, and 3% between products A, B, and C, respectively. The wide swing in al- located amounts between the two methods can be attributed to the different bases of allocation: the first is based on revenue, whereas the second is based on gross margins.
10-5 Pricing of Joint Products and By-products
The key operational issue for which joint cost allocations should be devoutly ig- nored is in the pricing of joint products and by-products. The issue here is that the allocation used to assign a cost to a particular product does not really have any bearing on the actual cost incurred to create the product—either method for split- ting costs between multiple products, as noted in the last section, cannot really be proven to allocate the correct cost to any product. Instead, we must realize that all costs incurred up to the split-off point are sunk costs that will be incurred, no matter what combination of products are created and sold from the split-off point forward.
Because everything before the split-off point is considered to be a sunk cost, pricing decisions are only concerned with those costs incurred after the split-off point, because these costs can be directly traced to individual products. In other words, incremental changes in prices should be based on the incremental increases in costs that accrue to a product after the split-off point. This can result in costs being assigned to products that are inordinately low, because there may be so few costs incurred after the split-off point. This can be in response to competitive pressures or because it only seems necessary to add a modest markup percentage to the incre- mental costs incurred after the split-off point. If these prices are too low, then the revenues resulting from the entire production process may not be sufficiently high for the company to earn a profit.
The best way to ensure that pricing is sufficient for a company to earn a profit is to create a pricing model for each product line. This model, as shown in Exhibit 10-3, itemizes the types of products and their likely selling points, as well as the variable costs that can be assigned to them subsequent to the split-off point. Thus far, the exhibit results in a total gross margin that is earned from all joint and by- product sales. Then we add up the grand total of all sunk costs that were incurred before the split-off point and subtract this amount from the total gross margin. If the resulting profit is too small, then the person setting prices will realize that indi- vidual product prices must be altered in order to improve the profitability of the entire cluster of products. Also, by bringing together all of the sales volumes and price points related to a single production process, one can easily see where pricing must be adjusted in order to obtain the desired level of profits. In the example, we must somehow increase the total profit by $3.68 in order to avoid a loss. A quick perusal of the exhibit shows us that two of the products—the viscera and pituitary gland—do not generate a sufficient amount of throughput to cover this loss. Ac- cordingly, the sales staff should concentrate the bulk of its attention on the repric- ing of the other three listed products, in order to eliminate the operating loss.
This format can be easily adapted for use for entire reporting periods or pro- duction runs, rather than for a single unit of production (as was the case in the last
exhibit). To do so, we simply multiply the number of units of joint products or by- products per unit by the total number of units to be manufactured during the period, and enter the totals in the far right column of the same format just used in Exhibit 10-3. The advantage of using this more comprehensive approach is that a production scheduler can determine which products should be included in a production run (assuming that more than one product is available) in order to generate the largest possible throughput.
Exhibit 10-3 Pricing Model for Joint and By-product Pricing
Product Incremental Throughput/ Total
Name Price/ Unit Cost/ Unit Unit No. of Sales Units Throughput
Viscera $.40 $.10 $.30 1 $.30
Barbequed ribs 3.00 1.80 1.20 4 4.80
Flank steak 5.50 1.05 4.35 2 8.70
Quarter steak 4.25 1.25 3.00 4 12.00
Pituitary gland 1.00 .48 .52 1 .52
Total throughput $26.32 Total sunk costs $30.00 Net profit/ loss –$3.68