ACC 550 Module 6 Joint Cost Assignment Example

One Pound, Four Products: Allocating Joint Cost at a Composite Pecan Sheller and Deciding What to Process Further

[Student Name]

Southern New Hampshire University

ACC 550: Cost Accounting

Module Six Assignment

[Instructor Name]

[Date]

The organization, setting and figures below are a composite written as a model document. No real employer, client, colleague or patient is described.

One Pound, Four Products: Allocating Joint Cost at a Composite Pecan Sheller and Deciding What to Process Further

Introduction

A pecan sheller does not choose to make halves; it buys in-shell nuts, cracks them and gets whatever mix of halves, pieces, meal and shells the crop provides. The cost of buying and shelling the nuts is a joint cost, incurred to produce all of the products together. That raises two questions: how to divide the joint cost among products for inventory and reporting, and how to decide what to do with each product after the split. This assignment answers both for one million pounds of in-shell pecans and shows why the answers must be kept separate (Datar & Rajan, 2021).

The Joint Process and Split-Off

In-shell pecans cost $2.40 a pound last season, and shelling, cracking, separating, grading and drying cost $0.46 a pound, so a million pounds carries $2,860,000 of joint cost. At the split-off point, after grading, the batch yields:

Table 1. Yield and Values at Split-Off, One Million Pounds In-Shell

Shells are a by-product: they have low value relative to the main products and are not why the company shells pecans. Their net realizable value, $13,200 as mulch and boiler fuel, is deducted from joint cost, leaving $2,846,800 to allocate to halves, pieces and meal.

Two Allocation Methods

Table 2. Joint Cost Allocated and Resulting Gross Profit

The physical units method divides joint cost by the 520,000 pounds of main products, about $5.47 a pound, and assigns that to every pound. The sales value method assigns joint cost in proportion to each product's sales value at split-off, 75.3 percent of value, so every product shows the same 24.7 percent gross margin. Both methods allocate exactly $2,846,800, and both report the same total gross profit of $933,200. They differ only in how they divide it.

Why Physical Units Mislead

Under physical units, meal costs $5.47 a pound and sells for $2.50, so it appears to lose about $119,000 a batch, and pieces appear barely profitable. A manager reading that report might stop selling meal. But stopping would save none of the joint cost: the nuts would still be bought and shelled, and the meal would still come out of the grader, to be thrown away instead of sold for $100,000. Total profit would fall by $100,000. The physical units method assigns cost by weight, but the products' values differ by a factor of almost four, so it assigns far too much cost to low-value products. Balakrishnan et al. (2012) warn that allocated costs can mislead whenever the allocation does not reflect what a decision changes, and a joint cost allocation never reflects that, because the joint cost does not change with any single product's fate. Sales value at split-off is the better method for inventory and reporting because it assigns cost in proportion to each product's ability to bear it, but it too says nothing about whether to sell a product.

Further Processing: Roast and Salt the Pieces?

A bakery supply customer has offered $7.40 a pound for roasted, salted pieces, compared with $6.20 for raw pieces. Roasting, salting and repackaging would cost $0.85 a pound in labor, energy, salt, oil and packaging.

Table 3. Further Processing Analysis for Pieces, per Batch

The decision rule is simple: process further if incremental revenue exceeds incremental cost. It does, by $91,000 a batch, or about $2.5 million a season if the customer can take the full volume. Joint cost does not appear in the analysis, because it is the same whether pieces are sold raw or roasted. A manager who added the allocated joint cost of pieces to the roasting decision would reach the same answer here, but could easily reach the wrong one in a closer case (Datar & Rajan, 2021).

Other Methods and Inventory Valuation

Two other methods are common. The net realizable value method uses each product's final selling price less separable costs after split-off; it matters when products need further processing before they can be sold, as roasted pieces would. The constant gross margin method assigns joint cost so that every product earns the company's overall gross margin after including separable costs. For this batch, with no separable costs before sale, the net realizable value method gives the same result as sales value at split-off. For financial reporting, the company should use sales value at split-off, or net realizable value once roasted pieces become a regular product, and apply it consistently, because the allocation determines how much joint cost sits in each product's ending inventory. With halves held in cold storage for months after the harvest, the choice moves cost between periods: valuing halves under physical units would put about $1.60 less cost on each pound of halves in inventory than sales value would, shifting profit into the period when halves are finally sold.

Practical Cautions

The analysis assumes the roasting line has capacity, the customer will buy the full volume at $7.40 and roasting does not reduce yield. If the roaster could handle only half the pieces, the incremental profit would be about $45,500 a batch, still positive. If the customer's demand were uncertain, the company might roast to order rather than all pieces. Labro (2019) points out that the right cost for a decision depends on what the decision changes, which is why a single product cost figure, however carefully allocated, cannot serve every purpose.

Conclusion

Shells are a by-product whose $13,200 value reduces joint cost to $2,846,800. Allocated by sales value at split-off, each main product earns a 24.7 percent margin; allocated by physical units, meal appears to lose money, a misleading result that could prompt the company to throw away $100,000 of revenue a batch. Roasting and salting pieces adds $91,000 a batch on an incremental basis, and that decision rests only on the costs and revenues it changes.

References

Balakrishnan, R., Labro, E., & Sivaramakrishnan, K. (2012). Product costs as decision aids: An analysis of alternative approaches (Part 1). Accounting Horizons, 26(1), 1-20. https://doi.org/10.2308/acch-50086

Datar, S. M., & Rajan, M. V. (2021). Horngren's cost accounting: A managerial emphasis (17th ed.). Pearson.

Labro, E. (2019). Costing systems. Foundations and Trends in Accounting, 13(3-4), 267-404. https://doi.org/10.1561/1400000058