Managerial Accounting Quiz: Constraints And Product Mix
6 questions · exam conditions
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Constraints And Product MixQuestion 1 of 6

Zenith Manufacturing produces three products: Alpha, Beta, and Gamma. The company operates under a single bottleneck constraint where Machine X can only operate 2,400 hours per month. Alpha requires 3 hours per unit on Machine X, Beta requires 4 hours per unit, and Gamma requires 2 hours per unit. The contribution margins are $45 per unit for Alpha, $52 per unit for Beta, and $28 per unit for Gamma. Current demand exceeds the company's capacity for all three products.

If Zenith wants to maximize total contribution margin, what is the optimal monthly production mix?

800 units of Alpha, 0 units of Beta, 0 units of Gamma
0 units of Alpha, 600 units of Beta, 0 units of Gamma
0 units of Alpha, 0 units of Beta, 1,200 units of Gamma
400 units of Alpha, 150 units of Beta, 300 units of Gamma
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Managerial Accounting Quiz

Managerial Accounting Quiz: Constraints And Product Mix

Practice Constraints And Product Mix in Managerial 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 Constraints And Product Mix, giving you a quick way to practice the rules, question types, and explanations that matter most for Managerial 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

Zenith Manufacturing produces three products: Alpha, Beta, and Gamma. The company operates under a single bottleneck constraint where Machine X can only operate 2,400 hours per month. Alpha requires 3 hours per unit on Machine X, Beta requires 4 hours per unit, and Gamma requires 2 hours per unit. The contribution margins are $45 per unit for Alpha, $52 per unit for Beta, and $28 per unit for Gamma. Current demand exceeds the company's capacity for all three products.

If Zenith wants to maximize total contribution margin, what is the optimal monthly production mix?

  1. 800 units of Alpha, 0 units of Beta, 0 units of Gamma (correct answer)
  2. 0 units of Alpha, 600 units of Beta, 0 units of Gamma
  3. 0 units of Alpha, 0 units of Beta, 1,200 units of Gamma
  4. 400 units of Alpha, 150 units of Beta, 300 units of Gamma
Explanation: To maximize contribution margin under a bottleneck constraint, calculate contribution margin per hour of the constraint resource. Alpha: $45 ÷ 3 hours = $15/hour; Beta: $52 ÷ 4 hours = $13/hour; Gamma: $28 ÷ 2 hours = $14/hour. Alpha has the highest contribution margin per constraint hour, so produce Alpha exclusively: 2,400 hours ÷ 3 hours per unit = 800 units. Choice B focuses only on total contribution margin per unit (Beta highest), Choice C uses the shortest processing time without considering contribution margin, and Choice D attempts an equal allocation without optimizing the constraint.

Question 2

Delta Corporation manufactures Products Alpha, Beta, and Gamma using a bottleneck process with 2,000 hours monthly capacity. Alpha requires 5 hours per unit with $200 contribution margin, Beta requires 8 hours per unit with $280 contribution margin, and Gamma requires 4 hours per unit with $140 contribution margin. The company has standing orders for 100 units of Alpha and 50 units of Beta that must be fulfilled monthly.

After meeting the standing orders, what should Delta do with the remaining capacity to maximize contribution margin?

  1. Produce Gamma units since remaining capacity of 1,100 hours is best utilized by Gamma's 4-hour requirement
  2. Produce additional Beta units since Beta has the highest total contribution margin per unit at $280
  3. Produce additional Alpha units since Alpha has the highest contribution margin per constraint hour at $40 (correct answer)
  4. Produce additional Alpha units since Alpha requires less time than Beta and generates substantial margin
Explanation: When you encounter a bottleneck constraint problem, the key is maximizing contribution margin per unit of the constraining resource—not per product unit. You need to calculate contribution margin per constraint hour for each product to determine the most profitable use of limited capacity. First, let's calculate the contribution margin per hour for each product: Alpha generates $2005 hours=$40\frac{\$200}{5 \text{ hours}} = \$40 per hour, Beta generates $2808 hours=$35\frac{\$280}{8 \text{ hours}} = \$35 per hour, and Gamma generates $1404 hours=$35\frac{\$140}{4 \text{ hours}} = \$35 per hour. Next, determine remaining capacity after fulfilling standing orders: Alpha uses 100×5=500100 \times 5 = 500 hours, Beta uses 50×8=40050 \times 8 = 400 hours, leaving 2,000−500−400=1,1002,000 - 500 - 400 = 1,100 hours available. Since Alpha provides the highest contribution margin per constraint hour at $40, Delta should produce additional Alpha units with the remaining capacity. Answer C correctly identifies this optimal strategy. Answer A incorrectly focuses on production efficiency (fitting more units into available hours) rather than profitability per hour. Answer B makes the common error of comparing absolute contribution margins per unit instead of contribution per constraint hour—Beta's $280 per unit is less valuable when you consider it takes 8 hours to earn it. Answer D mentions Alpha but gives incorrect reasoning about time requirements rather than the proper constraint analysis. Remember: in constraint problems, always calculate contribution margin per unit of the limiting factor. The product with the highest margin per constraint unit should receive priority for any remaining capacity.

Question 3

Crystal Electronics manufactures two models of tablets: Standard and Premium. The production process involves three departments, but Department B has become a bottleneck. Department B can process 20 Standard tablets per hour or 12 Premium tablets per hour, and operates 160 hours per month. Standard tablets generate $80 contribution margin per unit, while Premium tablets generate $140 contribution margin per unit. The company can sell all units it produces of either model.

What combination of products should Crystal Electronics produce to maximize monthly contribution margin, and what is the maximum achievable contribution margin?

  1. 3,200 Standard tablets only, generating $256,000 contribution margin
  2. 1,920 Premium tablets only, generating $268,800 contribution margin (correct answer)
  3. 1,600 Standard and 960 Premium tablets, generating $262,400 contribution margin
  4. 2,400 Standard and 480 Premium tablets, generating $259,200 contribution margin
Explanation: Calculate contribution margin per hour of bottleneck time. Standard: $80 ÷ (1/20) = $1,600 per hour. Premium: $140 ÷ (1/12) = $1,680 per hour. Premium has higher contribution margin per constraint hour, so produce Premium exclusively: 160 hours × 12 tablets/hour = 1,920 tablets × $140 = $268,800. Choice A uses only Standard tablets (suboptimal). Choice C attempts a 50-50 split. Choice D uses a 5:1 ratio based on processing time differences rather than contribution margin optimization.

Question 4

Rainbow Textiles operates under two potential constraints: machine hours and skilled labor hours. The company produces three fabric types with different resource requirements and contribution margins. Machine capacity is 1,200 hours monthly, and skilled labor capacity is 800 hours monthly. Fabric A requires 2 machine hours and 1 skilled labor hour per unit, contributing $40. Fabric B requires 3 machine hours and 2 skilled labor hours per unit, contributing $75. Fabric C requires 1 machine hour and 2 skilled labor hours per unit, contributing $35.

Which resource is the binding constraint, and what is the optimal product mix to maximize contribution margin?

  1. Skilled labor is binding; produce 200 units of Fabric B only
  2. Machine hours are binding; produce 1,200 units of Fabric C only
  3. Skilled labor is binding; produce 400 units of Fabric A only (correct answer)
  4. Machine hours are binding; produce 400 units of Fabric A only
Explanation: When facing constrained resource problems, you need to identify which constraint is most limiting and then determine the optimal product mix by comparing contribution margins per unit of the constraining resource. First, let's identify the binding constraint by calculating the maximum units possible under each constraint. For machine hours: Fabric A allows 600 units (1,200÷2), Fabric B allows 400 units (1,200÷3), and Fabric C allows 1,200 units (1,200÷1). For skilled labor hours: Fabric A allows 800 units (800÷1), Fabric B allows 400 units (800÷2), and Fabric C allows 400 units (800÷2). Since skilled labor creates tighter restrictions for Fabrics B and C, skilled labor is the binding constraint. Next, calculate contribution margin per skilled labor hour: Fabric A earns 40perhour(40 per hour (40÷1), Fabric B earns 37.50perhour(37.50 per hour (75÷2), and Fabric C earns 17.50perhour(17.50 per hour (35÷2). Fabric A provides the highest return per constrained resource unit. With 800 skilled labor hours available and Fabric A requiring 1 hour per unit, you can produce 400 units of Fabric A, generating $16,000 in contribution margin. Answer A incorrectly focuses on total contribution per unit rather than per constrained resource. Answer B wrongly identifies machine hours as binding and ignores the skilled labor constraint. Answer D correctly identifies 400 units of Fabric A but incorrectly states machine hours as the constraint. Remember: always identify the true bottleneck first, then maximize contribution margin per unit of that constraining resource, not per product unit.

Question 5

Vertex Electronics has 1,800 hours of assembly time available monthly. The company produces two products: Standard units requiring 3 assembly hours with $75 contribution margin, and Deluxe units requiring 9 assembly hours with $180 contribution margin. Current firm orders are 200 Standard and 100 Deluxe units. If Vertex can modify the Deluxe product design to reduce assembly time to 6 hours while maintaining the $180 contribution margin, how would this change affect the optimal use of remaining capacity?

  1. Continue producing Standard units with remaining capacity since Standard maintains higher contribution per hour even after the design change
  2. Switch to producing Deluxe units with remaining capacity since the design change makes Deluxe more profitable per hour (correct answer)
  3. The design change creates no difference in optimal production decisions since both products would have equal contribution per hour
  4. Produce a 50-50 mix of both products with remaining capacity to balance the portfolio after the design change
Explanation: Current firm orders consume: Standard (200 × 3) + Deluxe (100 × 9) = 600 + 900 = 1,500 hours. Remaining: 1,800 - 1,500 = 300 hours. Before design change: Standard = $75 ÷ 3 = $25/hour; Deluxe = $180 ÷ 9 = $20/hour. Standard is optimal for remaining capacity. After design change: Standard = $25/hour; Deluxe = $180 ÷ 6 = $30/hour. Deluxe becomes optimal with higher contribution per hour. Also, firm orders change to: (200 × 3) + (100 × 6) = 600 + 600 = 1,200 hours, leaving 600 hours remaining. Choice A ignores the improvement in Deluxe contribution per hour. Choice C incorrectly states they become equal. Choice D suggests arbitrary mixing rather than optimization.

Question 6

Sterling Manufacturing faces a bottleneck in its finishing department, which has 480 hours of capacity per month. The company produces two products with the following characteristics: Product A requires 3 finishing hours per unit with $90 contribution margin; Product B requires 8 finishing hours per unit with $180 contribution margin. If Sterling has firm commitments to deliver 80 units of Product A monthly, what production plan maximizes contribution margin for the remaining capacity?

  1. Use remaining 240 hours to produce 80 additional units of Product A for incremental contribution margin of $7,200
  2. Use remaining 240 hours to produce 30 additional units of Product B for total contribution margin of $12,600
  3. Split remaining capacity equally between products A and B for balanced production and $13,500 total contribution margin
  4. Use remaining 240 hours to produce 80 additional units of Product A for total contribution margin of $14,400 (correct answer)
Explanation: When facing bottleneck constraints, you need to maximize contribution margin per unit of the constraining resource. This is a classic theory of constraints problem where limited finishing department capacity drives the optimization decision. First, calculate contribution margin per finishing hour for each product: Product A generates $903 hours=$30\frac{\$90}{3 \text{ hours}} = \$30 per hour, while Product B generates $1808 hours=$22.50\frac{\$180}{8 \text{ hours}} = \$22.50 per hour. Since Product A provides higher contribution margin per constraining resource hour, you should prioritize it. With the 80-unit commitment requiring 80×3=24080 \times 3 = 240 hours, you have 480−240=240480 - 240 = 240 remaining hours. Using all remaining capacity for Product A allows production of 2403=80\frac{240}{3} = 80 additional units, generating 80×$90=$7,20080 \times \$90 = \$7,200 incremental contribution margin. Total contribution margin becomes (160×$90)=$14,400(160 \times \$90) = \$14,400. Answer A correctly calculates the incremental contribution margin of $7,200 but incorrectly states this as the total. Answer B wastes the superior resource utilization of Product A by producing only 30 units of Product B for $5,400 incremental margin. Answer C splits capacity inefficiently, producing some of the lower-margin-per-hour Product B instead of maximizing Product A production. Remember: In bottleneck situations, always rank products by contribution margin per unit of the constraining resource, not by absolute contribution margin per unit. The highest absolute margin doesn't matter if it ties up too much of your limited resource.