- What is the financial impact on the company's overall profit if Product Line X is discontinued?
Answer: An increase of $10,000
When deciding to drop a line, the relevant items are the lost contribution margin and the avoidable fixed costs. The unavoidable portion of the traceable fixed costs (the depreciation) will continue regardless and is therefore irrelevant to the decision.
- Contribution Margin Lost: $65,000 (a decrease in profit).
- Avoidable Fixed Costs Saved: $75,000 (an increase in profit).
- Net Impact on Profit = $75,000 saved - $65,000 lost = $10,000 increase.
The common error is to base the decision on the segment margin ($65,000 - $100,000 = -$35,000), which would suggest a profit increase of $35,000 (Choice C). This is incorrect because it fails to account for the unavoidable nature of some traceable costs.
- What would be the net effect on PrintCo's total profit if the printer product line were discontinued?
Answer: A decrease of $105,000
The analysis must consider both the direct effect of dropping the printer line and the indirect effect on the ink line.
1. Direct effect from dropping printers: The printer line has a negative segment margin of $100,000 (CM) - $115,000 (TFC) = ($15,000). Eliminating this line would increase profits by $15,000.
2. Indirect effect on ink cartridges: Ink sales would fall by 30%, so the contribution margin from ink would decrease by $400,000 × 30% = $120,000.
3. Net effect on total profit: $15,000 (increase) - $120,000 (decrease) = -$105,000. The net effect is a decrease in profit of $105,000.
- How will accepting this special order affect the product line's reported segment margin for the period?
Answer: It will increase the segment margin by $20,000.
The segment margin will be affected by the contribution margin of the special order. Since the order does not affect traceable fixed costs, the change in segment margin equals the change in contribution margin.
- Contribution margin per unit for the order = Special Price - Variable Cost = $12 - $8 = $4.
- Total increase in contribution margin = $4/unit × 5,000 units = $20,000.
Therefore, the segment margin will increase by $20,000.
- what is the segment margin for the third division, the Central division?
Answer: $40,000
The relationship between segment margins and net operating income is: Total Segment Margin - Common Fixed Costs = Net Operating Income. We can rearrange this to find the total segment margin: Net Operating Income + Common Fixed Costs = Total Segment Margin.
1. Total Segment Margin = $200,000 + $400,000 = $600,000.
2. The total segment margin is the sum of the individual segment margins: SM_East + SM_West + SM_Central = Total SM.
3. $250,000 + $310,000 + SM_Central = $600,000.
4. $560,000 + SM_Central = $600,000.
5. SM_Central = $600,000 - $560,000 = $40,000.
- What is the expected net impact on VeloCorp's total segment margin if the advertising campaign is implemented?
Answer: An increase of $31,000
The impact is calculated by summing the changes in contribution margin for both product lines and subtracting the increase in traceable fixed costs.
1. Increase in Sprinter's contribution margin: $150,000salesincrease×50.
2. Increase in Cruiser's contribution margin: $40,000salesincrease×40.
3. Total increase in contribution margin: $75,000+$16,000=$91,000.
4. Increase in traceable fixed costs (advertising): $60,000.
5. Net impact on total segment margin: $91,000−$60,000=$31,000. - Which of the following costs should be classified as a common fixed cost rather than a traceable fixed cost with respect to the company's three product divisions: Alpha, Beta, and Gamma?
Answer: Cost of a national television advertising campaign for the company's corporate brand.
A traceable fixed cost can be directly traced to a specific segment and would be eliminated if the segment were discontinued. A common fixed cost is incurred to support the organization as a whole and is not traceable to any single segment. The cost of a national corporate branding campaign benefits all divisions and would not be eliminated if one were dropped, making it a common fixed cost. The other costs are all traceable to their specific divisions.
- What is the minimum annual sales revenue the new product line must generate to ensure the company's overall profitability does not decrease?
Answer: $625,000
To avoid a decrease in overall profitability, the new product line's contribution margin must cover both its own traceable fixed costs and any increase in common fixed costs it causes.
1. Contribution Margin per unit = $50 - $30 = $20.
2. Contribution Margin Ratio = $20 / $50 = 40%.
3. Total costs to be covered = Traceable FC + Increase in Common FC = $180,000 + $70,000 = $250,000.
4. Required Sales Revenue = Total Costs to Cover / CM Ratio = $250,000 / 0.40 = $625,000. The most common error is to ignore the increase in common fixed costs, leading to an answer of $180,000 / 0.40 = $450,000 (Choice A).
- The company is considering discontinuing the consumer electronics product line. If the line is dropped, the traceable fixed costs would be avoided, but the common fixed costs would be unaffected. Based on this information, what would be the effect on the company's overall net operating income?
| Item | Amount |
|---|
| Sales | $500,000 |
| Variable Expenses | $280,000 |
| Traceable Fixed Expenses | $150,000 |
| Allocated Common Fixed Expenses | $100,000 |
Answer: A decrease of $70,000
The impact on overall net operating income from dropping a product line is equal to its segment margin. The segment margin is calculated as Sales - Variable Expenses - Traceable Fixed Expenses. In this case, the segment margin is $500,000−$280,000−$150,000=$70,000. Since the segment margin is positive, dropping the product line would cause a decrease in overall company profit by this amount. The allocated common fixed costs are irrelevant to the decision as they would continue to be incurred by the company. - What is the sales revenue required for the Western Division to break even, where break-even is defined as the point where the division's segment margin is zero?
Answer: $914,286
This is a two-step problem. First, find the division's traceable fixed costs. Second, use those costs to calculate the break-even sales for the segment.
1. Calculate total contribution margin: $1,200,000 (Sales) × 35% (CM Ratio) = $420,000.
2. Calculate traceable fixed costs: Contribution Margin - Segment Margin = Traceable Fixed Costs. So, $420,000 - $100,000 = $320,000.
3. Calculate segment break-even sales: Traceable Fixed Costs / CM Ratio = $320,000 / 0.35 = $914,286 (approximately).
- A company's internal report shows that Product Line A has a contribution margin ratio of 40% and a segment margin of $50,000. Product Line B has a contribution margin ratio of 60% and a segment margin of $40,000. Which of the following statements is the most plausible explanation for this situation?
Answer: Product Line B has higher traceable fixed costs relative to its sales than Product Line A.
Segment Margin = (Sales × CM Ratio) - Traceable Fixed Costs. Product B generates a higher contribution margin for each dollar of sales (60% vs 40%). For its segment margin to be lower than Product A's, Product B must have a much larger amount of traceable fixed costs that are consuming its higher contribution margin. These traceable fixed costs must be larger relative to its sales compared to Product A's. Common fixed costs (Choice D) are irrelevant to segment margin.
- What is the projected change in the product line's segment margin if the plan is implemented?
Answer: An increase of $20,000
This requires calculating the segment margin before and after the proposed changes.
Current Segment Margin:
- Contribution Margin: ($80 - $45) × 10,000 units = $35 × 10,000 = $350,000.
- Segment Margin: $350,000 - $200,000 = $150,000.
Projected Segment Margin:
- Contribution Margin: ($75 - $45) × 14,000 units = $30 × 14,000 = $420,000.
- Traceable Fixed Costs: $200,000 + $50,000 = $250,000.
- Segment Margin: $420,000 - $250,000 = $170,000.
Change in Segment Margin: $170,000 (Projected) - $150,000 (Current) = $20,000 increase.
- Horizon Manufacturing has four product lines with the following characteristics: Line A generates $2,400,000 in annual revenue with a 45% contribution margin ratio and $750,000 in traceable fixed costs. Line B generates $1,800,000 in revenue with a 38% contribution margin ratio and $520,000 in traceable fixed costs. Line C generates $3,200,000 in revenue with a 32% contribution margin ratio and $890,000 in traceable fixed costs. Line D generates $1,600,000 in revenue with a 52% contribution margin ratio and $680,000 in traceable fixed costs. If the company must discontinue the product line with the lowest segment margin ratio, which line should be discontinued and what will be the impact on total company segment margin?
Answer: Discontinue Line C; company segment margin decreases by $134,000
Calculate segment margin and segment margin ratio for each line: Line A: ($2,400,000 × 0.45) - $750,000 = $330,000; ratio = $330,000 ÷ $2,400,000 = 13.75%. Line B: ($1,800,000 × 0.38) - $520,000 = $164,000; ratio = $164,000 ÷ $1,800,000 = 9.11%. Line C: ($3,200,000 × 0.32) - $890,000 = $134,000; ratio = $134,000 ÷ $3,200,000 = 4.19%. Line D: ($1,600,000 × 0.52) - $680,000 = $152,000; ratio = $152,000 ÷ $1,600,000 = 9.50%. Line C has the lowest segment margin ratio at 4.19%, so it should be discontinued, reducing total segment margin by $134,000. Other choices identify wrong lines to discontinue.
- Coastal Manufacturing operates four product lines with the following annual data: Product X has a contribution margin ratio of 35% and traceable fixed costs of $420,000 on sales of $1,500,000. Product Y has a contribution margin ratio of 42% and traceable fixed costs of $380,000 on sales of $1,100,000. Product Z has a contribution margin ratio of 28% and traceable fixed costs of $295,000 on sales of $950,000. Product W has a contribution margin ratio of 38% and traceable fixed costs of $310,000 on sales of $900,000. Common corporate costs of $650,000 are allocated based on sales revenue. Which product line contributes the least to covering corporate costs?
Answer: Product Z, with a segment margin of negative $29,000 before corporate cost allocation
Calculate each product's segment margin (contribution margin minus traceable fixed costs): Product X: ($1,500,000 × 0.35) - $420,000 = $525,000 - $420,000 = $105,000. Product Y: ($1,100,000 × 0.42) - $380,000 = $462,000 - $380,000 = $82,000. Product Z: ($950,000 × 0.28) - $295,000 = $266,000 - $295,000 = -$29,000. Product W: ($900,000 × 0.38) - $310,000 = $342,000 - $310,000 = $32,000. Product Z has a negative segment margin, contributing least to corporate costs. Choice B confuses contribution margin with segment margin. Choice C incorrectly calculates Y's ratio. Choice D incorrectly calculates X's segment margin.
- What would be the overall impact on the company's total profit if the Lux line is dropped and the Standard line is expanded?
Answer: An increase of $35,000
This decision involves an opportunity cost. The net impact is the benefit from the new use of the resource minus the profit lost from the old use.
1. Profit lost from dropping the Lux line: The company will lose the segment margin of $20,000. This is a negative impact.
2. Profit gained from expanding the Standard line: The contribution margin (and thus segment margin, as TFC are unchanged) will increase by $55,000. This is a positive impact.
3. Overall Impact = Benefit Gained - Profit Lost = $55,000 - $20,000 = $35,000 increase in total profit.
- Phoenix Corporation's quarterly segment report shows the following data for its three divisions: North Division had sales of $2,800,000, variable costs of $1,680,000, traceable fixed costs of $450,000, and allocated corporate overhead of $280,000. South Division had sales of $1,950,000, variable costs of $1,365,000, traceable fixed costs of $320,000, and allocated corporate overhead of $195,000. West Division had sales of $3,200,000, variable costs of $2,240,000, traceable fixed costs of $385,000, and allocated corporate overhead of $320,000. If Phoenix discontinues the South Division, what will be the impact on overall corporate profitability, assuming corporate overhead costs remain unchanged?
Answer: Corporate profitability will decrease by $265,000 due to the elimination of South Division's positive segment margin before corporate allocations
To determine the impact, calculate South Division's segment margin before corporate allocations: Sales $1,950,000 - Variable costs $1,365,000 - Traceable fixed costs $320,000 = $265,000. This is the amount that will be lost if the division is discontinued, since allocated corporate overhead will remain and be redistributed to other divisions. Choice A incorrectly refers to 'traceable cost savings' when traceable costs would be eliminated. Choice B incorrectly considers the allocated overhead as relevant to the decision. Choice D makes the same error as B by including allocated overhead.
- Which of the following statements is the most accurate interpretation of this financial situation?
Answer: The product line is covering its variable costs but not its traceable fixed costs, and dropping it would increase overall company profit.
A positive contribution margin (Sales > Variable Costs) means the product is covering its own variable costs. A negative segment margin (Contribution Margin < Traceable Fixed Costs) means it is not generating enough contribution margin to cover its own direct fixed costs. In this case, dropping the line would eliminate a segment that is losing $10,000, thus increasing overall company profit by $10,000.
- Based on a proper segment analysis, what would be the impact on the company's total net income if Product K were discontinued?
Answer: A decrease of $260,000
The decision should be based on the product line's segment margin, not the reported net loss which includes arbitrary allocations.
1. Calculate Contribution Margin: $800,000 (Sales) - $450,000 (VC) = $350,000.
2. Identify Traceable Fixed Costs: The footnote states this is $90,000.
3. Calculate Segment Margin: $350,000 (CM) - $90,000 (Traceable FC) = $260,000.
Since the segment margin is positive, discontinuing the product line would result in a decrease in the company's total profit by $260,000. The common error is to use the reported net loss ($800k - $450k - $200k - $160k = -$10k), which would incorrectly suggest dropping the line increases profit by $10,000 (Choice A).
- The company wants to prioritize production to maximize its profitability. Based on the data in the table, which calculation provides the most relevant measure for this decision?
| Product Alpha | Product Beta |
|---|
| Selling Price per unit | $100 | $150 |
| Variable Cost per unit | $60 | $90 |
| Machine Hours per unit | 2.0 | 2.5 |
Answer: The contribution margin per machine hour for each product.
When a resource is constrained, profitability should be measured as contribution margin per unit of the constrained resource. This shows how much profit is generated for each hour the scarce machine is used.
- Alpha: CM/unit = $100 - $60 = $40. CM/hour = $40 / 2.0 hrs = $20 per hour.
- Beta: CM/unit = $150 - $90 = $60. CM/hour = $60 / 2.5 hrs = $24 per hour.
This calculation shows that Beta is the more profitable use of the machine. Using other measures like CM per unit (A) or CM ratio would lead to an incorrect prioritization, as they do not account for the different intensities of resource consumption.
- Which of the following costs is most likely a traceable fixed cost for the Northside store segment?
Answer: The annual property tax on the building that houses the Northside store.
A traceable fixed cost is a fixed cost that is incurred because of the existence of the segment. The property tax on the Northside store's building exists only because that specific store exists and would be eliminated if the store were closed. The cost of inventory (A) is a variable cost. The VP's salary (B) is a common cost. The allocated electricity cost (D) is an allocated common cost, not a traceable one.
- If top management approves the manager's reclassification request, how will the reported performance of Product Line Z and the company's overall net income be affected in the period of the change?
Answer: The segment margin for Product Line Z will increase, but the company's overall net income will be unchanged.
Reclassifying a cost from traceable to common is an internal accounting change. It moves the cost 'below the line' in the segment report. This will increase the calculated segment margin for Product Line Z, making the manager's performance appear better. However, the cost itself has not been eliminated; it is now simply part of the pool of common fixed costs. Since the total costs for the company as a whole have not changed, the company's overall net income will be unchanged. This highlights the difference between performance measurement and actual firm profitability.
