Cost Accounting Quiz: Product Line Profitability
20 questions · exam conditions
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Product Line ProfitabilityQuestion 1 of 20

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?

Product Line B must have a lower sales volume than Product Line A.
Product Line A has lower traceable fixed costs relative to its sales than Product Line B.
Product Line B has higher traceable fixed costs relative to its sales than Product Line A.
Product Line A receives a smaller allocation of common fixed costs than Product Line B.
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Cost Accounting Quiz

Cost Accounting Quiz: Product Line Profitability

Practice Product Line Profitability in Cost Accounting with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Product Line Profitability, giving you a quick way to practice the rules, question types, and explanations that matter most for Cost Accounting.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

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?

  1. Product Line B must have a lower sales volume than Product Line A.
  2. Product Line A has lower traceable fixed costs relative to its sales than Product Line B.
  3. Product Line B has higher traceable fixed costs relative to its sales than Product Line A. (correct answer)
  4. Product Line A receives a smaller allocation of common fixed costs than Product Line B.
Explanation: 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.

Question 2

A review of Product Line Delta reveals it has a positive contribution margin of 45,000butanegativesegmentmarginof(45,000 but a negative segment margin of (10,000).

Which of the following statements is the most accurate interpretation of this financial situation?

  1. The product's variable costs per unit are greater than its selling price per unit.
  2. The product line is covering its variable costs but not its traceable fixed costs, and dropping it would increase overall company profit. (correct answer)
  3. The product line appears unprofitable due to an overly large allocation of common corporate costs.
  4. The product line is covering its traceable fixed costs but not its variable costs, and dropping it would decrease overall company profit.
Explanation: 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.

Question 3

When a company evaluates the long-term viability of a product line, why is the segment margin a more reliable measure than the net income figure for that product line which includes allocated common fixed costs?

  1. Segment margin is based on future cash flows, whereas the allocated net income figure is based on historical accrual data.
  2. Segment margin excludes costs that would persist even if the product line were eliminated, providing a better view of the line's true profitability. (correct answer)
  3. Segment margin excludes all fixed costs from the analysis, which is more appropriate for long-term decisions where all costs are variable.
  4. Segment margin is a required metric for external financial reporting under GAAP, making it more reliable and standardized than internal net income calculations.
Explanation: Segment margin is calculated as contribution margin less traceable fixed costs. It represents the product line's contribution to covering the company's common fixed costs and generating profit. It is superior for decision-making because it only includes revenues and costs that are directly caused by the segment's existence. The allocated net income figure includes arbitrary allocations of common costs, which are not relevant to the decision because they will not disappear if the line is dropped.

Question 4

The current data for a company's sole product line is as follows: sales volume of 10,000 units, selling price of $80 per unit, variable cost of $45 per unit, and traceable fixed costs of $200,000. Management is considering a plan to decrease the selling price to $75 per unit. The marketing department projects this will increase sales volume to 14,000 units. To support this, advertising (a traceable fixed cost) will be increased by $50,000.

What is the projected change in the product line's segment margin if the plan is implemented?

  1. An increase of $20,000 (correct answer)
  2. An increase of $70,000
  3. A decrease of $30,000
  4. An increase of $150,000
Explanation: 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.

Question 5

A corporation has three divisions. The segment margins for the East and West divisions are $250,000 and $310,000, respectively. The company's total common fixed costs, which are not traceable to any division, are $400,000. If the company's overall net operating income is $200,000,

what is the segment margin for the third division, the Central division?

  1. $40,000 (correct answer)
  2. $110,000
  3. $160,000
  4. $400,000
Explanation: 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.

Question 6

A retail company operates three stores: Downtown, Northside, and West End. Each store is treated as a separate segment for performance evaluation.

Which of the following costs is most likely a traceable fixed cost for the Northside store segment?

  1. The cost of inventory purchased for sale at the Northside store.
  2. The salary of the company's Vice President of Marketing.
  3. The annual property tax on the building that houses the Northside store. (correct answer)
  4. The total cost of electricity for all three stores, allocated based on square footage.
Explanation: 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.

Question 7

The Western Division of a company reports sales of $1,200,000, a contribution margin ratio of 35%, and a segment margin of $100,000 for the year.

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?

  1. $285,714
  2. $914,286 (correct answer)
  3. $420,000
  4. $320,000
Explanation: 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).

Question 8

A company evaluates its product-line managers based on the segment margin their lines produce. The manager of Product Line Z is lobbying to have a portion of the line's fixed costs reclassified from traceable to common. The cost in question is the $120,000 annual lease for a specialized machine that is used only for Product Line Z.

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?

  1. The segment margin for Product Line Z will increase, and the company's overall net income will increase.
  2. The segment margin for Product Line Z will be unchanged, but the company's overall net income will increase.
  3. The segment margin for Product Line Z will increase, but the company's overall net income will be unchanged. (correct answer)
  4. Neither the segment margin for Product Line Z nor the company's overall net income will be affected.
Explanation: 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.

Question 9

A company produces two products, Alpha and Beta, both of which require processing time on a finishing machine. The machine's capacity is limited to 10,000 hours per month. The company can sell as much of either product as it can produce.

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 AlphaProduct Beta
Selling Price per unit$100$150
Variable Cost per unit$60$90
Machine Hours per unit2.02.5
  1. The contribution margin ratio for each product.
  2. The total segment margin for each product line based on maximum possible production.
  3. The contribution margin per unit for each product.
  4. The contribution margin per machine hour for each product. (correct answer)
Explanation: 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.

Question 10

Product Line X has a contribution margin of $65,000. Its traceable fixed costs total $100,000, of which $25,000 is depreciation on specialized equipment with no resale value. The remaining $75,000 of traceable fixed costs are avoidable if the line is discontinued.

What is the financial impact on the company's overall profit if Product Line X is discontinued?

  1. An increase of $10,000 (correct answer)
  2. A decrease of $65,000
  3. An increase of $35,000
  4. A decrease of $100,000
Explanation: 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=−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.

Question 11

A product line currently has excess production capacity. A customer offers a one-time special order for 5,000 units at a price of $12 per unit. The product line's normal selling price is $20 per unit, and its variable cost is $8 per unit. Accepting the order will not affect any of the product line's traceable fixed costs or its regular sales.

How will accepting this special order affect the product line's reported segment margin for the period?

  1. It will increase the segment margin by $60,000.
  2. It will have no effect on the segment margin because it is a one-time order.
  3. It will decrease the segment margin by $40,000 due to the discounted price.
  4. It will increase the segment margin by $20,000. (correct answer)
Explanation: 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.

Question 12

A company's internal profitability report for Product K shows a net loss. The report was prepared by allocating fixed manufacturing overhead based on machine hours and fixed administrative costs as a percentage of sales.

Product K Report

  • Sales: $800,000
  • Variable Costs: $450,000
  • Allocated Fixed Manufacturing Overhead: $200,000
  • Allocated Fixed Administrative Costs: $160,000

A footnote clarifies that of the $200,000 in fixed manufacturing overhead allocated to Product K, only $90,000 is directly traceable to the line (e.g., a line supervisor's salary). All other fixed costs allocated to the line are common corporate costs.

Based on a proper segment analysis, what would be the impact on the company's total net income if Product K were discontinued?

  1. An increase of $10,000
  2. A decrease of $350,000
  3. A decrease of $260,000 (correct answer)
  4. An increase of $150,000
Explanation: 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).

Question 13

PrintCo sells high-end printers and proprietary ink cartridges. The printer product line has a contribution margin of $100,000 and traceable fixed costs of $115,000. The highly profitable ink cartridge line has a contribution margin of $400,000 and traceable fixed costs of $50,000. An analysis indicates that if the printer line were discontinued, sales of ink cartridges would fall by 30% as customers switch to other brands.

What would be the net effect on PrintCo's total profit if the printer product line were discontinued?

  1. A decrease of $105,000 (correct answer)
  2. A decrease of $120,000
  3. An increase of $15,000
  4. A decrease of $135,000
Explanation: 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.

Question 14

A company is considering launching a new product line. Projections for the new line are: a selling price of $50 per unit, variable costs of $30 per unit, and new traceable fixed costs of $180,000 per year for equipment and salaries. Launching this product will also require the company to hire an additional corporate-level HR administrator to handle increased payroll complexity, at a cost of $70,000 per year.

What is the minimum annual sales revenue the new product line must generate to ensure the company's overall profitability does not decrease?

  1. $450,000
  2. $500,000
  3. $625,000 (correct answer)
  4. $750,000
Explanation: 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).

Question 15

A company is evaluating its two product lines, Lux and Standard. The Lux line currently has a positive segment margin of $20,000. The company is considering dropping the Lux line because the factory space it occupies could be repurposed to expand the production of the more popular Standard line. This expansion would increase the Standard line's contribution margin by an estimated $55,000 without requiring any additional traceable fixed costs for that line.

What would be the overall impact on the company's total profit if the Lux line is dropped and the Standard line is expanded?

  1. An increase of $55,000
  2. An increase of $35,000 (correct answer)
  3. A decrease of $20,000
  4. An increase of $75,000
Explanation: 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.

Question 16

VeloCorp manufactures two bicycle models: the Sprinter and the Cruiser. The Sprinter line currently has a segment margin of $200,000. Management is considering a new advertising campaign focused on the Sprinter model that would cost $60,000. The campaign is expected to increase Sprinter sales by $150,000. The Sprinter's contribution margin ratio is 50%. Due to market overlap, the campaign is also expected to increase Cruiser sales by $40,000. The Cruiser's contribution margin ratio is 40%.

What is the expected net impact on VeloCorp's total segment margin if the advertising campaign is implemented?

  1. An increase of $15,000
  2. An increase of $31,000 (correct answer)
  3. An increase of $75,000
  4. An increase of $91,000
Explanation: 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×50150,000 sales increase × 50% CM ratio = \75,000).
  2. Increase in Cruiser's contribution margin: (40,000salesincrease×4040,000 sales increase × 40% CM ratio = \16,000).
  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).

Question 17

A multi-divisional company is analyzing its cost structure to prepare segmented income statements. The following costs are under review:

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?

  1. Salary of the manager overseeing the Alpha division.
  2. Depreciation on machinery used exclusively for the production of the Beta product line.
  3. Cost of a national television advertising campaign for the company's corporate brand. (correct answer)
  4. Lease payments for a warehouse used solely for storing inventory of the Gamma product line.
Explanation: 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.

Question 18

A company reports the following results for its consumer electronics product line:

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?

ItemAmount
Sales$500,000
Variable Expenses$280,000
Traceable Fixed Expenses$150,000
Allocated Common Fixed Expenses$100,000
  1. A decrease of $70,000 (correct answer)
  2. An increase of $30,000
  3. A decrease of $220,000
  4. An increase of $150,000
Explanation: 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.

Question 19

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?

  1. Corporate profitability will decrease by $265,000 due to lost contribution margin exceeding traceable cost savings
  2. Corporate profitability will increase by $70,000 due to elimination of negative segment margin after corporate overhead allocation
  3. Corporate profitability will decrease by $265,000 due to the elimination of South Division's positive segment margin before corporate allocations (correct answer)
  4. Corporate profitability will increase by $125,000 due to the elimination of South Division's operating loss including allocated overhead
Explanation: 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.

Question 20

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?

  1. Product Z, with a segment margin of negative $29,000 before corporate cost allocation (correct answer)
  2. Product W, with the lowest absolute contribution margin of $342,000
  3. Product Y, with a segment margin ratio of only 8.5% after traceable fixed costs
  4. Product X, with a negative segment margin of $95,000 before corporate allocations
Explanation: 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.ProductY:(105,000. Product Y: (1,100,000 × 0.42) - $380,000 = $462,000 - $380,000 = 82,000.ProductZ:(82,000. Product Z: (950,000 × 0.28) - $295,000 = $266,000 - 295,000=−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.