Cost Accounting Quiz: Cost Plus Pricing
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Cost Plus PricingQuestion 1 of 20

Pioneer Products plans to sell 5,000 units of its new device. The variable cost per unit is $80. Total fixed costs are $250,000. The company wants to achieve a total profit of $150,000. Using a variable cost-plus approach, what markup percentage on variable cost is needed to achieve the target profit?

50%
80%
100%
37.5%
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Cost Accounting Quiz

Cost Accounting Quiz: Cost Plus Pricing

Practice Cost Plus Pricing 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 Cost Plus Pricing, 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.

All questions

Question 1

Pioneer Products plans to sell 5,000 units of its new device. The variable cost per unit is $80. Total fixed costs are $250,000. The company wants to achieve a total profit of $150,000. Using a variable cost-plus approach, what markup percentage on variable cost is needed to achieve the target profit?

  1. 50%
  2. 80%
  3. 100% (correct answer)
  4. 37.5%
Explanation: The markup in a variable cost-plus system must be large enough to cover all fixed costs and the desired profit.
  1. Calculate the total contribution margin required: Total CM = Total Fixed Costs + Target Profit = $250,000 + $150,000 = $400,000.
  2. The total contribution margin is also the total markup amount needed above total variable costs.
  3. Calculate the total variable cost for all units: Total VC = $80/unit × 5,000 units = $400,000.
  4. Calculate the required markup percentage: Markup % = Total CM / Total VC = $400,000 / $400,000 = 1.00, or 100%.

Question 2

A company produces a product with a variable cost of $40 per unit and total fixed costs of $300,000. It currently produces and sells 30,000 units. The company uses a full cost-plus model with a 25% markup. If expected production and sales increase to 37,500 units, what will be the new target selling price?

  1. $50.00
  2. $62.50
  3. $60.00 (correct answer)
  4. $61.25
Explanation: An increase in production volume changes the fixed cost per unit, which in turn changes the full cost base for pricing.
  1. Calculate the old fixed cost per unit (for context/distractor): $300,000 / 30,000 units = $10.00. Old full cost = $40 + $10 = $50. Old price = $50 × 1.25 = $62.50.
  2. Calculate the new fixed cost per unit at the higher volume: $300,000 / 37,500 units = $8.00.
  3. Calculate the new full cost per unit: $40.00 (Variable Cost) + $8.00 (New Fixed Cost per Unit) = $48.00.
  4. Calculate the new target price: $48.00 × (1 + 0.25) = $60.00.

Question 3

A company sets its selling price at $78 per unit. This price was determined using a 30% markup on the full cost per unit. The variable cost per unit is $45. The company produced and sold 20,000 units. What were the company's total fixed costs for the period?

  1. $300,000 (correct answer)
  2. $198,000
  3. $660,000
  4. $360,000
Explanation: This problem requires working backward from price to find total fixed costs.
  1. First, find the full cost per unit (C). We know Price = C × (1 + 0.30). So, $78 = 1.30C.
  2. Solve for C: C = $78 / 1.30 = $60.00.
  3. The full cost per unit is the sum of variable cost per unit and fixed cost per unit. C = VC + (Total FC / Units).
  4. Substitute known values: $60.00 = $45.00 + (Total FC / 20,000).
  5. Solve for the fixed cost per unit: Fixed Cost per Unit = $60.00 - $45.00 = $15.00.
  6. Calculate total fixed costs: Total FC = Fixed Cost per Unit × Units = $15.00 × 20,000 = $300,000.

Question 4

A company's product has a full cost of $75 per unit. The company sets its price to achieve a 20% markup on cost. An economic downturn causes the company to offer a 10% discount on its list price to stimulate sales. What is the final selling price per unit after the discount?

  1. $81.00 (correct answer)
  2. $82.50
  3. $90.00
  4. $67.50
Explanation: This is a two-step pricing problem involving calculating a list price and then applying a discount.
  1. Calculate the initial list price using the cost-plus formula: List Price = Full Cost × (1 + Markup %) = $75 × (1 + 0.20) = $75 × 1.20 = $90.00.
  2. Apply the 10% discount to the list price: Discount Amount = $90.00 × 10% = $9.00.
  3. Calculate the final selling price: Final Price = List Price - Discount Amount = $90.00 - $9.00 = $81.00. Alternatively, Final Price = $90.00 × (1 - 0.10) = $81.00.

Question 5

A division of Zenith Corp. has invested $2,000,000 in assets to produce a new product. Management requires a 15% annual return on investment (ROI). Budgeted production and sales are 40,000 units, and the full cost to produce and sell each unit is $65. To achieve the desired ROI, what selling price must the company set?

  1. $67.50
  2. $72.50 (correct answer)
  3. $74.75
  4. $115.00
Explanation: The price must cover the full cost per unit plus the required profit per unit.
  1. Calculate the total dollar profit required: Total Profit = Investment × Desired ROI = $2,000,000 × 15% = $300,000.
  2. Calculate the required profit per unit: Profit per Unit = Total Profit / Budgeted Units = $300,000 / 40,000 units = $7.50.
  3. Calculate the target selling price: Price = Full Cost per Unit + Profit per Unit = $65.00 + $7.50 = $72.50.

Question 6

Vortex Inc. uses a variable cost-plus pricing model, setting its price at a 60% markup on total variable costs. The current selling price of its product is $120 per unit. If the variable manufacturing cost is $60 per unit, what is the variable selling and administrative cost per unit?

  1. $15.00 (correct answer)
  2. $48.00
  3. $75.00
  4. $24.00
Explanation: This problem requires working backward from the price.
  1. The price is a 60% markup on total variable cost (V). So, Price = V × (1 + 0.60), or $120 = 1.60V.
  2. Solve for the total variable cost per unit (V): V = $120 / 1.60 = $75.00.
  3. Total variable cost is the sum of variable manufacturing cost and variable S&A cost.
  4. $75.00 = $60.00 (Variable Mfg Cost) + Variable S&A Cost.
  5. Solve for Variable S&A Cost: $75.00 - $60.00 = $15.00.

Question 7

A company is developing a new product. It estimates the following total life-cycle costs: R&D and design, $500,000; manufacturing, $1,200,000; marketing and distribution, $600,000; and after-sale service, $100,000. The company expects to produce and sell 80,000 units over the product's life. To achieve a life-cycle profit of $400,000, what price must the company charge per unit?

  1. $30.00
  2. $20.00
  3. $28.75
  4. $35.00 (correct answer)
Explanation: Life-cycle pricing considers all costs over the product's life to determine the price.
  1. Calculate total life-cycle costs: Total Costs = R&D + Mfg + Mktg + Service = $500,000 + $1,200,000 + $600,000 + $100,000 = $2,400,000.
  2. Calculate the total revenue required to cover costs and achieve the target profit: Required Revenue = Total Costs + Target Profit = $2,400,000 + $400,000 = $2,800,000.
  3. Calculate the required price per unit: Price = Required Revenue / Total Life-Cycle Units = $2,800,000 / 80,000 units = $35.00.

Question 8

Apex Industries uses a pricing policy where the markup is based on full manufacturing cost. The markup must be sufficient to cover all S&A costs and provide a target profit. For the upcoming year, the company budgets total manufacturing costs of $1,000,000, total S&A costs of $300,000, and a target profit of $200,000. What markup percentage on full manufacturing cost should the company use?

  1. 20%
  2. 30%
  3. 50% (correct answer)
  4. 33%
Explanation: The question asks for the markup percentage that covers non-manufacturing costs and profit, relative to the manufacturing cost base.
  1. Identify the cost base: Total full manufacturing cost = $1,000,000.
  2. Identify the items the markup must cover: S&A costs (300,000)andtargetprofit(300,000) and target profit (200,000).
  3. Calculate the total dollar value of the markup: Markup Amount = S&A Costs + Target Profit = $300,000 + $200,000 = $500,000.
  4. Calculate the markup percentage: Markup % = (Markup Amount / Cost Base) × 100% = ($500,000 / $1,000,000) × 100% = 50%.

Question 9

A company provides the following data for its sole product: variable cost per unit is $30, and total fixed costs are $100,000 based on a volume of 10,000 units. The company has two pricing policies it is considering: (1) a 50% markup on full cost, or (2) a 100% markup on variable cost. What is the difference in the selling price between the two policies?

  1. $0 (correct answer)
  2. $5.00
  3. $10.00
  4. $15.00
Explanation: The question requires calculating the price under two different methods and then finding the difference. Policy 1: Full Cost-Plus
  1. Fixed cost per unit = $100,000 / 10,000 units = $10.00.
  2. Full cost per unit = Variable Cost + Fixed Cost per Unit = $30 + $10 = $40.00.
  3. Price = $40.00 × (1 + 0.50) = $60.00.
Policy 2: Variable Cost-Plus
  1. Variable cost per unit = $30.00.
  2. Price = $30.00 × (1 + 1.00) = $60.00.
Difference: $60.00 (Policy 1) - $60.00 (Policy 2) = $0.

Question 10

A company's cost structure includes prime costs of $40 per unit and conversion costs of $35 per unit. Of the conversion costs, $15 is for variable manufacturing overhead. Total fixed manufacturing overhead is $200,000 for a production run of 20,000 units. Direct labor is the only cost component common to both prime and conversion costs. What is the full manufacturing cost per unit, to be used as a basis for cost-plus pricing?

  1. $75.00
  2. $85.00
  3. $55.00
  4. $65.00 (correct answer)
Explanation: This question requires understanding the components of prime and conversion costs to build the full manufacturing cost without double-counting.
  1. Prime Cost = Direct Materials (DM) + Direct Labor (DL) = $40.
  2. Conversion Cost = Direct Labor (DL) + Variable Overhead (VOH) + Fixed Overhead (FOH) per unit.
  3. We are given Conversion Cost per unit is $35. However, this includes FOH at some unspecified volume. It's better to build from components. Conversion cost = DL + MOH. Total MOH per unit = $15(VOH) + FOH/unit. FOH/unit = $200,000/20,000 = $10. So total MOH/unit = $15 + $10 = $25.
  4. Conversion Cost = DL + MOH = $35. So, DL + $25 = $35, which means DL = $10.
  5. From Prime Cost, DM + DL = $40. DM + $10 = $40, so DM = $30.
  6. Full Manufacturing Cost = DM + DL + VOH + FOH per unit = $30 + $10 + $15 + $10 = $65.00. Alternatively, Full Mfg Cost = Prime Cost + MOH = 40+(40 + (15 VOH + $10 FOH) = $40 + $25 = $65. Or, Full Mfg Cost = DM + Conversion Cost = $30 + $35 = $65.

Question 11

A company is considering a special order for 1,000 units. The product normally sells for $150. The full cost per unit is $120, which includes $40 of allocated fixed overhead. The variable cost per unit is $80. The company has excess capacity. To achieve a 25% markup on the relevant costs for this decision, what is the minimum price the company should charge for the special order?

  1. $100 (correct answer)
  2. $125
  3. $150
  4. $50
Explanation: For a special order with excess capacity, the relevant costs are the incremental costs, which are the variable costs. Fixed costs are sunk and not relevant to this one-time decision.
  1. Identify the relevant cost base: This is the variable cost per unit, which is $80.
  2. Apply the desired markup to the relevant cost base: Price = Variable Cost × (1 + Markup Percentage) = $80 × (1 + 0.25) = $80 × 1.25 = $100.

Question 12

A consulting firm prices its services at full cost plus a 40% markup. A recent project required 200 direct professional labor hours at a cost of $100 per hour. Variable overhead is applied at $20 per direct labor hour. Total fixed overhead for the firm is $500,000, and it expects to log 10,000 total direct labor hours for the year. What is the total price quoted for this project?

  1. $28,000
  2. $33,600
  3. $42,000
  4. $47,600 (correct answer)
Explanation: This question applies cost-plus pricing to a service industry context.
  1. Calculate the total cost of the project. This includes direct labor, variable overhead, and allocated fixed overhead.
  2. Direct Labor Cost = 200 hours × $100/hour = $20,000.
  3. Variable Overhead Cost = 200 hours × $20/hour = $4,000.
  4. Calculate the predetermined fixed overhead rate: $500,000 / 10,000 hours = $50 per hour.
  5. Allocated Fixed Overhead = 200 hours × $50/hour = $10,000.
  6. Full Cost of the Project = $20,000 + $4,000 + $10,000 = $34,000.
  7. Calculate the final price with the 40% markup: Price = $34,000 × (1 + 0.40) = $47,600.

Question 13

Caspian Corp. is developing a pricing strategy for a new product. The variable cost per unit is $50. Management wants to achieve a contribution margin of 40% of the selling price. What selling price should be set?

  1. $70.00
  2. $83.33 (correct answer)
  3. $125.00
  4. $75.00
Explanation: This problem links pricing to the contribution margin percentage.
  1. The contribution margin is the difference between the selling price (P) and variable cost (VC). So, CM = P - VC.
  2. The company wants the contribution margin to be 40% of the price. So, CM = 0.40P.
  3. Substitute the first equation into the second: P - VC = 0.40P.
  4. Substitute the known variable cost: P - $50 = 0.40P.
  5. Solve for P: 0.60P = $50, which means P = $50 / 0.60 = $83.33.

Question 14

A company has an investment in assets of $800,000 and requires a 20% return on this investment. Cost information for its product, based on an expected volume of 16,000 units, is as follows: direct materials per unit, $15; direct labor per unit, $10; variable overhead per unit, $5; and total fixed costs, $240,000. What selling price per unit must be set to achieve the target ROI, using a full-cost basis?

  1. $58.00
  2. $55.00 (correct answer)
  3. $50.00
  4. $46.00
Explanation: This is a multi-step ROI pricing problem.
  1. Calculate the full cost per unit. First, find the fixed cost per unit: $240,000 / 16,000 units = $15.00. Full cost per unit = DM + DL + VOH + FOH per unit = $15 + $10 + $5 + $15 = $45.00.
  2. Calculate the total target profit: Investment × ROI = $800,000 × 20% = $160,000.
  3. Calculate the target profit per unit: Total Profit / Units = $160,000 / 16,000 units = $10.00.
  4. Calculate the selling price: Price = Full Cost per Unit + Target Profit per Unit = $45.00 + $10.00 = $55.00.

Question 15

A company manufactures a product with a variable manufacturing cost of $35 and a variable S&A cost of $5. Total fixed manufacturing overhead is $150,000, and total fixed S&A cost is $90,000. The company expects to sell 20,000 units. If the company uses variable cost-plus pricing with a markup of 80%, what is the selling price?

  1. $72.00 (correct answer)
  2. $63.00
  3. $93.60
  4. $13.50
Explanation: Variable cost-plus pricing uses only variable costs as the base for the markup.
  1. Identify all variable costs per unit: Variable Manufacturing Cost (35) + Variable S&A Cost (5) = $40.00.
  2. Apply the 80% markup to the variable cost base: Price = $40.00 × (1 + 0.80) = $40.00 × 1.80 = $72.00. Fixed costs are ignored when calculating the cost base but are implicitly covered by the large markup.

Question 16

A company determines its selling price using cost-plus pricing. The full cost of its product is $90 per unit. Management's policy is to achieve a profit margin of 25% on the final selling price. What is the target selling price?

  1. $112.50
  2. $120.00 (correct answer)
  3. $115.00
  4. $67.50
Explanation: This question requires converting a target profit margin (based on price) into a selling price based on cost.
  1. Let P be the selling price. The cost is $90. The profit is 25% of P, or 0.25P.
  2. The fundamental pricing equation is: Price = Cost + Profit.
  3. Substitute the known values: P = $90 + 0.25P.
  4. Solve for P: P - 0.25P = $90, which simplifies to 0.75P = $90.
  5. P = $90 / 0.75 = $120.00. Alternatively, one can convert the margin percentage to a markup on cost: Markup % = Margin % / (1 - Margin %) = 0.25 / (1 - 0.25) = 0.333... Price = Cost × (1 + Markup) = $90 × (1 + 1/3) = $120.00.

Question 17

A firm uses full cost-plus pricing with a 20% markup. The current price is $96 per unit based on production of 10,000 units. The direct material cost, which is a variable cost, is expected to increase by $5 per unit. All other costs and the markup percentage will remain constant. What will be the new selling price if the production volume remains at 10,000 units?

  1. $101.00
  2. $102.00 (correct answer)
  3. $96.00
  4. $103.20
Explanation: The change in a cost component requires recalculating the cost base and then the price.
  1. First, find the current full cost per unit. Price = Cost × (1 + 0.20), so $96 = 1.20 × Cost. Cost = $96 / 1.20 = $80.00.
  2. The direct material cost increases by $5. This increases the full cost per unit by the same amount, since it's a component of full cost.
  3. New full cost per unit = $80.00 + $5.00 = $85.00.
  4. Calculate the new selling price using the same 20% markup: New Price = $85.00 × 1.20 = $102.00.

Question 18

A company's manufacturing costs are described by the formula Y = $400,000 + $25X, where X is the number of units produced. The company projects production of 50,000 units. Its pricing policy is to mark up the full manufacturing cost per unit by 50%. What is the target selling price per unit?

  1. $37.50
  2. $45.00
  3. $49.50 (correct answer)
  4. $52.50
Explanation: The cost formula represents a mixed cost. The price must be based on the full cost per unit at the projected volume.
  1. The formula shows that variable cost per unit is $25 and total fixed costs are $400,000.
  2. Calculate the fixed cost per unit at the projected volume: $400,000 / 50,000 units = $8.00 per unit.
  3. Calculate the full manufacturing cost per unit: Full Cost = Variable Cost per Unit + Fixed Cost per Unit = $25.00 + $8.00 = $33.00.
  4. Apply the 50% markup: Price = $33.00 × (1 + 0.50) = $49.50.

Question 19

Titan Manufacturing uses full cost-plus pricing with a standard 30% markup. For a new product line, the following annual costs are projected: direct materials $320,000, direct labor $180,000, variable overhead $140,000, fixed overhead $200,000, variable selling expenses $60,000, and fixed administrative expenses $80,000. The company plans to produce 2,000 units annually. However, a competitor analysis reveals that the market price for similar products is $510 per unit. What adjustment to the markup percentage would allow Titan to match the competitive price?

  1. Increase markup to 35.2% to ensure adequate profit margin despite competitive pricing pressures in the market
  2. Reduce markup to 4.1% to match the competitive price point while maintaining full cost-plus pricing methodology (correct answer)
  3. Reduce markup to 8.7% to match the competitive price point while maintaining full cost-plus pricing methodology
  4. Maintain 30% markup but switch to variable cost-plus pricing to achieve competitive pricing in the market
Explanation: When you encounter cost-plus pricing questions, you need to understand that the markup percentage is applied to the full cost base to determine the selling price. The key is calculating total costs per unit first, then working backward from the target price. Let's calculate Titan's total annual costs: direct materials (320,000)+directlabor(320,000) + direct labor (180,000) + variable overhead (140,000)+fixedoverhead(140,000) + fixed overhead (200,000) + variable selling expenses (60,000)+fixedadministrativeexpenses(60,000) + fixed administrative expenses (80,000) = $980,000. With 2,000 units planned, the full cost per unit is $980,000 ÷ 2,000 = $490. To find the required markup percentage, use the formula: Target Price = Cost × (1 + Markup%). Since the competitive price is $510 and the cost is $490: $510 = $490 × (1 + Markup%). Solving: 1 + Markup% = 1.041, so Markup% = 4.1%. Choice A incorrectly suggests increasing the markup to 35.2%, which would make the price even higher than the original 30% markup ($490 × 1.30 = $637). Choice C miscalculates the markup as 8.7% - this would yield a price of $532.63, still above the competitive target. Choice D proposes switching to variable cost-plus pricing, but this changes the entire methodology rather than adjusting the markup percentage as requested. Remember: in cost-plus pricing problems, always calculate your full cost base first, then work backward from the target selling price to find the required markup. Don't assume you need to increase markups to meet competition - sometimes competitive pressures require lower margins.

Question 20

Atlas Manufacturing produces two products using the same facilities. The following data applies: Direct materials - Product 1: $25/unit, Product 2: $40/unit; Direct labor - Product 1: $15/unit, Product 2: $30/unit; Variable overhead - Product 1: $10/unit, Product 2: $20/unit. Fixed manufacturing overhead is $180,000 annually. Product 1 requires 2 labor hours per unit and Product 2 requires 3 labor hours per unit. If 3,000 units of Product 1 and 2,000 units of Product 2 are produced, and management wants a 20% markup on full cost for Product 2, what amount of fixed overhead should be allocated to each unit of Product 2 for pricing purposes?

  1. $30 per unit, allocating fixed overhead based on direct labor cost rather than direct labor hours
  2. $60 per unit, allocating fixed overhead equally between the two products based on units produced
  3. $36 per unit, allocating fixed overhead based on total variable costs as a percentage of combined variable costs
  4. $45 per unit, allocating fixed overhead based on direct labor hours as the most appropriate cost driver (correct answer)
Explanation: When allocating fixed manufacturing overhead for pricing decisions, you need to select the most logical cost driver that reflects how resources are actually consumed. The goal is to assign costs in a way that reflects the underlying economic reality of production. To find the correct allocation, first calculate each product's consumption of the chosen cost driver. Product 1 uses 2 labor hours per unit × 3,000 units = 6,000 total labor hours. Product 2 uses 3 labor hours per unit × 2,000 units = 6,000 total labor hours. Total labor hours = 12,000. Since both products use the facilities and labor equally (6,000 hours each), Product 2 should receive 50% of the fixed overhead: 6,00012,000×$180,000=$90,000\frac{6,000}{12,000} × \$180,000 = \$90,000. Per unit allocation for Product 2: $90,0002,000 units=$45 per unit\frac{\$90,000}{2,000 \text{ units}} = \$45 \text{ per unit}. Answer A is wrong because direct labor cost creates distortion—higher-paid workers don't necessarily consume more overhead resources. Answer B incorrectly assumes equal overhead consumption per unit, ignoring that Product 2 requires 50% more labor time per unit. Answer C uses variable costs as the driver, but variable costs don't determine fixed overhead consumption—machine time, labor hours, and facility usage do. Remember that labor hours typically provide the best allocation base for manufacturing overhead because most overhead costs (supervision, utilities, depreciation) correlate with production time rather than material costs or number of units. Always choose the cost driver that best reflects the actual consumption of overhead resources.