Relevant vs. Irrelevant Costs - Cost Accounting

1. What is the net financial advantage or disadvantage per gallon of processing Alpha into Super-Alpha?
   Answer: $1 advantage The decision to process further should be based on incremental revenues and costs after the split-off point. The joint cost of $150,000 is a sunk cost and irrelevant to this decision. The incremental revenue per gallon is the difference between the final sales price and the split-off sales price ($15 - $10 = $5). The incremental cost is the further processing cost of $4 per gallon. The net financial advantage is the incremental revenue minus the incremental cost: $5 - $4 = $1 advantage per gallon.
2. Which option should the company choose?
   Answer: Sell as-is, because it provides the highest net cash inflow. The analysis must focus on future, differential cash flows. The $20 production cost is a sunk cost and irrelevant. Let's evaluate the net cash inflow of each relevant alternative: 1. Sell as-is: Revenue = 5,000 units * $8/unit = $40,000. Net cash inflow = $40,000. 2. Modify and sell: Incremental revenue = 5,000 units * $10/unit = $50,000. Incremental cost = $15,000. Net cash inflow = $50,000 - $15,000 = $35,000. 3. Dispose: Net cash outflow = -$2,000. Comparing the outcomes, selling as-is provides the highest net cash inflow ($40,000) and is therefore the most profitable option.
3. For transfer pricing decisions, which costs are relevant when determining the minimum transfer price that Division M should accept?
   Answer: Variable cost of $45 per unit for the first 5,000 units, and opportunity cost of $25 per unit for units above capacity When you encounter transfer pricing questions, focus on the fundamental principle: the minimum transfer price should cover the transferring division's variable costs plus any opportunity cost from lost external sales. Division M has excess capacity of 5,000 units but Division F needs 8,000 units. This creates two distinct scenarios. For the first 5,000 units, Division M can use its excess capacity without sacrificing external sales, so the minimum transfer price only needs to cover variable costs of $45 per unit. However, for the remaining 3,000 units (8,000 - 5,000), Division M must give up external sales at $70 per unit, creating an opportunity cost of $25 per unit ($70 selling price - $45 variable cost). Therefore, the minimum transfer price for units above capacity should be $70 per unit ($45 variable cost + $25 opportunity cost). Answer A incorrectly averages costs without considering capacity constraints. Answer B applies the full external price to all units, ignoring that excess capacity exists for some production. Answer C treats all units the same by using only variable cost, failing to recognize the opportunity cost when production exceeds available capacity. The key insight is that transfer pricing isn't one-size-fits-all when capacity constraints exist. You must analyze the situation in segments based on available capacity. Study tip: In transfer pricing problems, always identify three things: variable costs, available excess capacity, and the opportunity cost of external sales. When demand exceeds excess capacity, you'll need a two-tiered pricing structure that reflects both scenarios.
4. What is the minimum selling price the company must charge for a finished table to make the decision to process further financially attractive?
   Answer: Slightly more than $136.84 The decision to process further is justified if the incremental revenue exceeds the incremental costs. The incremental costs are the further processing costs ($30) and the sales commission. The opportunity cost of processing further is the forgone revenue from selling the unfinished table ($100). So, the total revenue from the finished table must cover the $100 opportunity cost, the $30 further processing cost, and the sales commission. Let P be the selling price. The equation is: P > $100 + $30 + (0.05 * P). Rearranging gives: 0.95P > $130. Solving for P: P > $130 / 0.95, which means P > $136.84.
5. What is the change in operating income if FlexiCo accepts the special order?
   Answer: $4,000 increase The analysis should include only incremental revenues and costs. The incremental revenue is 2,000 units $35/unit = $70,000. The incremental costs are the variable costs plus any additional fixed costs. The total variable cost is ($10 + $15 + $5) 2,000 units = $60,000. The additional fixed cost is the supervisor's salary of $6,000. The allocated fixed overhead of $8/unit is irrelevant. Total incremental costs are $60,000 + $6,000 = $66,000. The change in operating income is the incremental revenue less the incremental costs: $70,000 - $66,000 = $4,000 increase.
6. Which statement correctly identifies the relevant costs for the sell-or-process-further decision?
   Answer: Additional processing costs of $8 per unit and equipment rental of $2.50 per unit; joint costs are irrelevant sunk costs Sell-or-process-further decisions require you to focus exclusively on incremental costs and revenues — the additional money flowing in and out if you choose to process further. The key insight is that joint costs incurred before the split-off point are sunk costs and should never influence your decision. Let's identify the relevant costs. If Lambda processes further, they'll incur $8 per unit in additional variable costs plus $50,000 in annual equipment rental. With 20,000 units produced annually, the equipment cost equals $2.50 per unit ($50,000 ÷ 20,000). These incremental costs total $10.50 per unit. The incremental revenue is $15 per unit ($40 selling price minus $25 immediate sale price). Since incremental revenue exceeds incremental costs, processing further makes sense. Answer C correctly identifies both relevant cost components while properly excluding joint costs as sunk. The $15 per unit joint cost is irrelevant because it's already spent regardless of the decision. Answer A incorrectly suggests ignoring the equipment rental cost, which is a real incremental expense. Answer B falls into the classic trap of including joint costs in the analysis — these $15 per unit costs are sunk and shouldn't factor into future decisions. Answer D incorrectly excludes equipment rental simply because it's a fixed cost, but fixed costs that change between alternatives (like this rental) are absolutely relevant. Study tip: In sell-or-process-further problems, immediately cross out any costs incurred before the decision point. Only compare the additional costs of processing to the additional revenue from the enhanced product.
7. Kappa Corporation is deciding whether to shut down operations temporarily for two months due to a seasonal downturn. During the shutdown, the company would save $180,000 in variable costs and $45,000 in avoidable fixed costs (utilities, temporary labor contracts). However, it would incur $25,000 in shutdown costs and $30,000 in restart costs. Unavoidable fixed costs during this period would be $90,000, and the company estimates it would lose $40,000 in future sales due to customer dissatisfaction. Which analysis correctly identifies all relevant costs for this decision?
   Answer: Savings of $225,000 minus costs of $95,000 for net benefit of $130,000, excluding unavoidable fixed costs as irrelevant When analyzing temporary shutdown decisions, you need to identify which costs and benefits are relevant - meaning they differ between the alternatives of shutting down versus continuing operations. The key is focusing only on costs that change based on your decision. Let's walk through the relevant items: You'll save $180,000 in variable costs and $45,000 in avoidable fixed costs (total savings: $225,000). However, you'll incur $55,000 in shutdown and restart costs, plus lose $40,000 in future sales. The total costs of shutdown are therefore $95,000 ($55,000 + $40,000). This gives a net benefit of $130,000 ($225,000 - $95,000). Crucially, the $90,000 in unavoidable fixed costs is irrelevant because you'll pay this amount regardless of your decision. Answer A incorrectly includes unavoidable fixed costs in the continuing operations figure, inflating it to $315,000. These costs aren't relevant since they occur either way. Answer C ignores both the avoidable fixed costs (which you can save) and the opportunity cost of lost future sales - both critical relevant factors. Answer D falls into the common trap of thinking all costs matter for decision-making, but unavoidable fixed costs are sunk costs that don't influence the optimal choice. Study tip: For shutdown decisions, always separate costs into "avoidable" versus "unavoidable." Only avoidable costs (and opportunity costs like lost sales) are relevant. If a cost continues regardless of your decision, exclude it from your analysis entirely.
8. In deciding among the three options, which of the following is an irrelevant piece of information?
   Answer: The current book value of $30,000. Relevant costs and revenues are those that are future-oriented and differ among the alternatives. The book value of $30,000 is based on the historical (sunk) cost of the asset and is not a future cash flow. It will not change regardless of which option is chosen, and is therefore irrelevant to the decision. The overhaul cost, current selling price, and future cash inflows are all future cash flows that differ depending on the option selected, making them relevant.
9. From the perspective of the divisional manager, which of the following costs is most likely to be perceived as relevant to the decision to keep or drop the product line, even though it is irrelevant to the corporation as a whole?
   Answer: The allocated corporate administrative costs. The key is the perspective of the divisional manager whose bonus is based on the division's reported net income. The divisional income statement includes the allocated corporate costs. Even though these costs are not avoidable from the corporate perspective and are therefore irrelevant to the overall company's decision, they directly impact the division's bottom line. The manager will see these costs as relevant because dropping the division would make these allocated costs 'disappear' from his or her performance report, potentially improving it from a loss to zero.
10. For the purpose of the keep-or-drop decision, what is the total of the irrelevant costs included in the provided data?
    Answer: $170,000 Irrelevant costs for this decision are those that will not change regardless of whether the camera line is kept or dropped. Depreciation on the equipment is a sunk cost (related to the original purchase) and is non-cash, so it is irrelevant. The equipment has no resale value, so there is no opportunity cost. The allocated corporate costs are common costs that will continue to be incurred by the company even if the camera line is dropped, so they are also irrelevant. The total irrelevant cost is the sum of these two items: $50,000 (Depreciation) + $120,000 (Allocated Costs) = $170,000.
11. What is the total of the relevant costs that GigaCorp should consider when deciding whether to accept this special order?
    Answer: $240,000 For a special order with idle capacity, only the incremental costs are relevant. The existing fixed manufacturing overhead is irrelevant because it will be incurred regardless of the decision. The relevant costs are the incremental variable costs and any additional costs specific to the order. The relevant costs per unit are: Direct materials ($20) + Direct labor ($15) + Variable manufacturing overhead ($10) + Special packaging ($3) = $48. For 5,000 units, the total relevant cost is 5,000 units * $48/unit = $240,000.
12. In deciding whether to implement the new manufacturing process, which of the following is a relevant cost?
    Answer: The $3 per unit difference in variable costs. Relevant costs and revenues must (1) occur in the future and (2) differ between alternatives. The R&D cost is a sunk cost and irrelevant. The allocated fixed overhead is presumed to be the same under both alternatives and is therefore irrelevant. While the total current variable cost of $300,000 (20,000 units * $15) is a future cost, the key to the decision is the difference between the alternatives. The relevant cost saving is the $3 difference per unit ($15 - $12), which would be compared against the $50,000 investment. The per-unit difference is the fundamental relevant data point.
13. When evaluating the financial difference between the two machines over their useful lives, which of the following costs is relevant?
    Answer: The combined annual operating and licensing costs of Machine Y. Relevant costs are future costs that differ between alternatives. The purchase price is the same for both, so it is not differential and thus irrelevant to choosing between them. The training costs are also identical and therefore irrelevant. The total annual operating costs for both machines combined is not a useful figure for comparison. The only costs that differ are the annual operating and licensing fees. The total annual cost for Machine Y ($35,000 + $15,000 = $50,000) is a key component of the differential analysis, as it can be directly compared to Machine X's annual cost ($50,000). In this specific case, the total annual costs are identical, meaning there is no financial difference, but the components themselves (operating vs. licensing) are the relevant figures to analyze to reach that conclusion.
14. What is the total relevant cost per unit for Aero Corp. to make Part #303 for the purpose of this make-or-buy decision?
    Answer: $25.00 Relevant costs for a make-or-buy decision are the costs that differ between the alternatives. The relevant costs to make the part are the avoidable costs. These include direct materials ($6), direct labor ($8), variable manufacturing overhead ($4), and the avoidable portion of fixed manufacturing overhead. The avoidable fixed overhead is $70,000 for 10,000 units, which is $7 per unit. Therefore, the total relevant cost to make the part is the sum of these avoidable costs: $6 + $8 + $4 + $7 = $25 per unit.
15. For the purpose of a capital budgeting analysis of the replacement decision, which of the following amounts is an irrelevant cost?
    Answer: The book value of the old machine, $80,000. In an equipment replacement decision, relevant costs are future costs and revenues that differ between alternatives. The book value of the old machine ($80,000) is the result of a past (sunk) cost ($200,000 original price) and accounting depreciation conventions. It is not a future cash flow and does not differ between the alternatives of keeping or replacing the machine, making it irrelevant. The market value ($50,000) is relevant because it's a cash inflow that occurs only if the machine is replaced. The new machine's cost and the operating savings are also relevant future cash flows that differ between alternatives.
16. In evaluating the decision to launch the new product, which of the following represents a relevant opportunity cost?
    Answer: The market value of the equipment, $280,000. An opportunity cost is the benefit forgone by choosing one alternative over another. By using the equipment to manufacture the new product, the company forgoes the opportunity to sell it. Therefore, the current market value of the equipment, $280,000, is a relevant opportunity cost of the project. The book value and original purchase price are sunk costs and are irrelevant. The allocated fixed overhead is also irrelevant unless it represents an incremental cash outflow, which is not indicated here; it is typically an allocation of existing costs.
17. What will be the total impact on the company's overall profit if the product is dropped?
    Answer: A decrease of $90,000. This decision involves comparing the costs saved to the contribution margin lost. The costs saved are the avoidable direct fixed costs of $60,000. The contribution margin lost has two components: the direct CM from the product itself ($100,000) and the lost CM from the complementary product ($50,000), for a total CM loss of $150,000. The net impact on profit is the costs saved minus the CM lost: $60,000 - $150,000 = -$90,000. Therefore, dropping the product would cause overall profit to decrease by $90,000.
18. What would be the effect on Veridian Dynamics' overall annual net operating income if the retail division is dropped?
    Answer: Decrease by $70,000 To determine the effect on overall profit, we must compare the lost contribution margin to the avoidable fixed costs. The lost contribution margin is $200,000. The avoidable fixed costs are the direct advertising ($80,000) and supervisor salaries ($50,000), totaling $130,000. The allocated corporate overhead is irrelevant as it will continue. The division's segment margin, which is its contribution to covering common corporate costs, is $200,000 (Contribution Margin) - $130,000 (Avoidable Fixed Costs) = $70,000. Dropping the division would eliminate this positive segment margin, causing overall corporate net income to decrease by $70,000.
19. What is the maximum price per unit the company should be willing to pay the outside supplier?
    Answer: $16.50 The maximum price the company should pay an outside supplier is equal to the total avoidable cost of making the component internally. The avoidable costs are the variable costs and the avoidable portion of the fixed costs. The total variable cost is $7 (DM) + $4 (DL) + $2 (VOH) = $13.00 per unit. If 30% of the fixed overhead is unavoidable, then the remaining 70% is avoidable. The avoidable fixed cost per unit is 70% * $5.00 = $3.50. Therefore, the total relevant (avoidable) cost to make the component is $13.00 + $3.50 = $16.50. The company would be better off buying only if the price is less than this amount.
20. What is the relevant cost of the 1,000 units of raw material for the special project decision?
    Answer: $5,000 The relevant cost of using an existing inventory item is its opportunity cost. The historical cost ($15 per unit) is a sunk cost and irrelevant. The replacement cost ($18 per unit) is only relevant if the company needs to replace the inventory. Since the company has no other use for the material, using it for the project means the company forgoes the opportunity to sell it as scrap. Therefore, the relevant cost is the revenue that would be generated from scrapping it: 1,000 units * $5/unit = $5,000.

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