Key Takeaways
- Relevant costs differ between alternatives AND occur in the future; sunk costs are never relevant.
- Make-or-buy decisions compare avoidable costs of making with the purchase price plus opportunity costs.
- Special orders should be accepted if incremental revenue exceeds incremental costs (and capacity exists).
- Constrained resource decisions should maximize contribution margin per unit of the constraint.
- Segment elimination decisions should consider the avoidable fixed costs and lost contribution margin.
Relevant Costing and Decision Making
Quick Answer: Relevant costs are future costs that differ between alternatives. Sunk costs are never relevant. For make-or-buy, compare avoidable internal costs to external price plus opportunity costs. Accept special orders when incremental revenue exceeds incremental cost. Maximize contribution margin per constraint unit for product mix decisions.
Effective decision-making requires identifying which costs are relevant to a specific decision. Irrelevant costs can lead to poor choices.
Relevant vs. Irrelevant Costs
Relevant Costs
A cost is relevant if it meets BOTH criteria:
| Criteria | Explanation |
|---|---|
| Future cost | Will be incurred in the future |
| Differs between alternatives | Amount differs depending on the choice |
Irrelevant Costs
| Cost Type | Definition | Why Irrelevant |
|---|---|---|
| Sunk costs | Past costs already incurred | Cannot be changed |
| Committed costs | Future costs that cannot be avoided | Same regardless of decision |
| Allocated fixed costs | Don't change with decision | Won't differ between options |
Examples of Relevance
| Cost | Relevant? | Reasoning |
|---|---|---|
| Future variable costs | Usually Yes | Differ with volume/choice |
| Future avoidable fixed costs | Yes | Can be eliminated |
| Sunk costs (book value of old asset) | No | Already spent |
| Depreciation on existing equipment | No | Sunk cost |
| Opportunity costs | Yes | Represent foregone benefits |
Opportunity Costs
Opportunity cost is the benefit foregone by choosing one alternative over another.
Opportunity Cost = Value of the Next Best Alternative
Example: Using factory space for Product A means giving up the $50,000 contribution margin from Product B. The $50,000 is an opportunity cost of producing A.
Key Point: Opportunity costs are never recorded in accounting systems but are always relevant to decisions.
Make-or-Buy Decisions
Should the company make a component internally or buy it from an outside supplier?
Relevant Costs for Make-or-Buy
| Make | Buy |
|---|---|
| Avoidable direct materials | Purchase price |
| Avoidable direct labor | + Additional costs |
| Avoidable variable overhead | - Cost savings |
| Avoidable fixed costs | |
| + Opportunity costs |
Make-or-Buy Example
Current Cost to Make (10,000 units):
| Cost | Per Unit | Total |
|---|---|---|
| Direct Materials | $6.00 | $60,000 |
| Direct Labor | $4.00 | $40,000 |
| Variable Overhead | $3.00 | $30,000 |
| Fixed Overhead (allocated) | $5.00 | $50,000 |
| Total Cost | $18.00 | $180,000 |
Outside Supplier Quote: $15.00 per unit
Analysis:
| Factor | Make | Buy |
|---|---|---|
| Direct Materials | $60,000 | $0 |
| Direct Labor | $40,000 | $0 |
| Variable Overhead | $30,000 | $0 |
| Purchase Price | $0 | $150,000 |
| Total Relevant Costs | $130,000 | $150,000 |
Decision: Continue to make—saves $20,000.
Note: The $50,000 allocated fixed overhead is NOT relevant because it will continue regardless of the decision.
Make-or-Buy with Opportunity Cost
If the freed capacity can generate $25,000 contribution margin:
| Factor | Make | Buy |
|---|---|---|
| Relevant Production Costs | $130,000 | $0 |
| Purchase Price | $0 | $150,000 |
| Opportunity Cost | $25,000 | $0 |
| Total | $155,000 | $150,000 |
Decision: Buy from supplier—saves $5,000.
Special Order Decisions
Should the company accept a one-time order at a price below normal selling price?
Decision Rule
Accept if: Incremental Revenue > Incremental Costs
Special Order Considerations
| Accept If | Reject If |
|---|---|
| Price > Incremental costs | Price < Incremental costs |
| Excess capacity exists | Would displace regular sales |
| Won't affect regular pricing | Could damage brand/pricing |
| Covers all variable costs | Capacity constraints exist |
Special Order Example
Normal Operations:
- Selling price: $100 per unit
- Variable cost: $60 per unit
- Fixed costs: $200,000 (at 10,000 unit capacity)
- Current production: 7,000 units
Special Order: 2,000 units at $75 each
| Analysis | Amount |
|---|---|
| Special order revenue | 2,000 × $75 = $150,000 |
| Incremental variable costs | 2,000 × $60 = $120,000 |
| Incremental profit | $30,000 |
Decision: Accept—adds $30,000 to profit.
Important: Fixed costs are not relevant if they don't change. The $75 price exceeds the $60 variable cost, so the order contributes to fixed costs and profit.
Product Mix with Constraints
When resources are limited (labor hours, machine time, materials), maximize contribution margin per unit of the constrained resource.
Decision Rule
CM per Constraint Unit = CM per Product ÷ Constraint Used per Product
Prioritize products with the highest CM per constraint unit.
Constrained Resource Example
Machine capacity: 10,000 hours
| Product | CM/Unit | Machine Hrs/Unit | CM per Machine Hour |
|---|---|---|---|
| A | $30 | 2 hours | $30 ÷ 2 = $15 |
| B | $50 | 5 hours | $50 ÷ 5 = $10 |
| C | $24 | 1.5 hours | $24 ÷ 1.5 = $16 |
Optimal Production Order: C, then A, then B
If demand is: A = 3,000 units; B = 2,000 units; C = 4,000 units
| Product | Priority | Units | Hours Used | Cumulative Hours |
|---|---|---|---|---|
| C | 1st | 4,000 | 6,000 | 6,000 |
| A | 2nd | 2,000 | 4,000 | 10,000 |
| B | 3rd | 0 | 0 | 10,000 |
Product A is partially produced (2,000 of 3,000 demanded); Product B is not produced.
Segment Elimination Decisions
Should a product line, department, or division be eliminated?
Decision Framework
| Keep If | Eliminate If |
|---|---|
| CM > Avoidable Fixed Costs | CM < Avoidable Fixed Costs |
| Segment covers its direct costs | Segment doesn't cover direct costs |
| Strategic value exists | No strategic benefit |
Segment Elimination Example
| Item | Product Line X |
|---|---|
| Sales | $500,000 |
| Variable Costs | $350,000 |
| Contribution Margin | $150,000 |
| Avoidable Fixed Costs | $100,000 |
| Allocated Fixed Costs | $80,000 |
| Operating Income (Loss) | ($30,000) |
Analysis:
| Factor | Amount |
|---|---|
| Lost Contribution Margin | $150,000 |
| Avoided Fixed Costs | $100,000 |
| Net Impact of Eliminating | ($50,000) loss |
Decision: Keep Product Line X—eliminating it reduces total company profit by $50,000.
Key Insight: The $80,000 allocated fixed costs will continue regardless of the decision, so they are irrelevant. The $150,000 CM exceeds the $100,000 avoidable fixed costs.
Sell or Process Further
Should a product be sold at split-off or processed further?
Decision Rule
Process further if: Incremental Revenue > Incremental Costs
Incremental Revenue = Final Sales Value - Sales Value at Split-off
Incremental Costs = Further Processing Costs
Sell or Process Example
| Option | Sales Value | Processing Cost |
|---|---|---|
| Sell at split-off | $80,000 | $0 |
| Process further | $120,000 | $25,000 |
Analysis:
Incremental Revenue = \$120,000 - \$80,000 = \$40,000
Incremental Cost = \$25,000
Incremental Profit = \$40,000 - \$25,000 = \$15,000
Decision: Process further—adds $15,000 to profit.
Note: Joint costs (costs incurred before split-off) are sunk costs and irrelevant to this decision.
Summary: Relevant Cost Decision Framework
| Decision Type | Key Relevant Costs |
|---|---|
| Make or Buy | Avoidable costs vs. purchase price + opportunity costs |
| Special Order | Incremental revenues vs. incremental costs |
| Product Mix | CM per unit of constraint |
| Segment Elimination | Lost CM vs. avoidable fixed costs |
| Sell or Process Further | Incremental revenue vs. incremental processing costs |
Which of the following costs is ALWAYS irrelevant to decision making?
A company can make a part for $14 ($8 variable + $6 allocated fixed). A supplier offers to sell the part for $10. The fixed costs will continue if the part is purchased. Should the company make or buy?
A company has limited machine hours. Product A has a CM of $24 and requires 3 machine hours. Product B has a CM of $20 and requires 2 machine hours. Which product should be prioritized?
A segment has contribution margin of $200,000, avoidable fixed costs of $150,000, and allocated fixed costs of $80,000. If the segment is eliminated, company profits will: