IB DP · Thinka-original Practice Paper

2024 IB DP Business management Practice Paper with Answers

Thinka May 2024 HL (TZ2) IB Diploma Programme-Style Mock — Business management

75 marks180 mins2024

An original Thinka practice paper modelled on the structure and difficulty of the May 2024 HL (TZ2) IB Diploma Programme Business management paper. Not affiliated with or reproduced from IB.

Paper 2 Section A (Quantitative Core)

Answer all three questions. This section tests financial, operational, and marketing calculations and definitions.

9 Question · 18 marks

Question 1 · Calculation

2 marks

EcoCups Ltd produces reusable bamboo cups. The selling price per cup is $12.00, and the variable cost per cup is $4.50. The firm incurs annual fixed costs of $15,000. Its current level of output is 3,000 cups per year.

Calculate EcoCups Ltd's margin of safety in units.

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Worked solution

1. **Calculate the contribution per unit**:
$\text{Contribution per unit} = \text{Selling price} - \text{Variable cost}$
$\text{Contribution per unit} = \$12.00 - \$4.50 = \$7.50$

2. **Calculate the break-even point (BEP)**:
$\text{Break-even point} = \frac{\text{Fixed costs}}{\text{Contribution per unit}}$
$\text{Break-even point} = \frac{\$15,000}{\$7.50} = 2,000 \text{ units}$

3. **Calculate the margin of safety**:
$\text{Margin of safety} = \text{Current output} - \text{Break-even point}$
$\text{Margin of safety} = 3,000 - 2,000 = 1,000 \text{ units}$

Marking scheme

[1 mark] for calculating the correct break-even point of 2,000 units (with working shown).
[1 mark] for the correct margin of safety of 1,000 units (or 1,000) with appropriate working.
Award a maximum of [1 mark] if the correct final answer is given but no working is shown.

Question 2 · Calculation

2 marks

SolarGrid is considering an investment in new equipment costing $100,000. The projected net cash inflows are as follows:
- Year 1: $40,000
- Year 2: $45,000
- Year 3: $30,000
- Year 4: $15,000

Calculate the payback period for this investment (express your answer in years and months).

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Worked solution

1. **Track the cumulative cash flow**:
- Year 0: $-\$100,000$
- Year 1: $-\$100,000 + \$40,000 = -\$60,000$
- Year 2: $-\$60,000 + \$45,000 = -\$15,000$
- Year 3: $-\$15,000 + \$30,000 = +\$15,000$

2. **Calculate the fraction of Year 3 needed to pay back the remaining $15,000**:
$\text{Fraction of year} = \frac{\text{Remaining amount to pay back}}{\text{Cash flow in the payback year}} = \frac{\$15,000}{\$30,000} = 0.5\text{ years}$
$0.5\text{ years} \times 12\text{ months} = 6\text{ months}$

3. **Total payback period**:
$2\text{ years and } 6\text{ months}$ (or $2.5\text{ years}$).

Marking scheme

[1 mark] for setting up the cumulative cash flows correctly showing that payback occurs in Year 3 with a remaining deficit of $15,000.
[1 mark] for the correct final payback period of 2 years and 6 months (or 2.5 years) with clear working.
Award a maximum of [1 mark] if the correct final answer is given but no working is shown.

Question 3 · Calculation

2 marks

Velocity Delivery purchased a delivery van for $36,000. The van has an estimated useful life of 4 years and an estimated residual scrap value of $6,000. Velocity Delivery uses the straight-line depreciation method.

Calculate the net book value of the van at the end of Year 3.

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Worked solution

1. **Calculate annual depreciation** using straight-line method:
$\text{Annual Depreciation} = \frac{\text{Original Cost} - \text{Residual Value}}{\text{Useful Life}}$
$\text{Annual Depreciation} = \frac{\$36,000 - \$6,000}{4} = \frac{\$30,000}{4} = \$7,500 \text{ per year}$

2. **Calculate accumulated depreciation after 3 years**:
$\text{Accumulated Depreciation} = \$7,500 \times 3 = \$22,500$

3. **Calculate net book value (NBV) at the end of Year 3**:
$\text{Net Book Value} = \text{Original Cost} - \text{Accumulated Depreciation}$
$\text{Net Book Value} = \$36,000 - \$22,500 = \$13,500$

Marking scheme

[1 mark] for calculating the correct annual depreciation of $7,500 or the accumulated depreciation of $22,500.
[1 mark] for the correct final net book value of $13,500 (accept 13,500) with working.
Award a maximum of [1 mark] if the correct final answer is given but no working is shown.

Question 4 · Calculation

2 marks

The balance sheet of Nordic Retailers contains the following items:
- Cash: $5,000
- Debtors (Accounts Receivable): $12,000
- Stock (Inventory): $18,000
- Bank Overdraft: $4,000
- Creditors (Accounts Payable): $16,000

Calculate the acid-test (quick) ratio for Nordic Retailers.

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Worked solution

1. **Identify assets and liabilities for the acid-test ratio**:
- $\text{Current Assets (excluding stock)} = \text{Cash} + \text{Debtors} = \$5,000 + \$12,000 = \$17,000$
- $\text{Current Liabilities} = \text{Bank Overdraft} + \text{Creditors} = \$4,000 + \$16,000 = \$20,000$

2. **Calculate the ratio**:
$\text{Acid-test ratio} = \frac{\text{Current Assets} - \text{Stock}}{\text{Current Liabilities}}$
$\text{Acid-test ratio} = \frac{\$17,000}{\$20,000} = 0.85$ (or $0.85 : 1$)

Marking scheme

[1 mark] for identifying the correct numerator ($17,000) and denominator ($20,000) or showing correct setup.
[1 mark] for the correct final answer of 0.85 (accept 0.85:1 or 17:20) with working.
Award a maximum of [1 mark] if the correct final answer is given but no working is shown.

Question 5 · Calculation

2 marks

Gourmet Bakers established a budgeted raw material cost of $25,000 for the month of October. The actual raw material cost incurred during October was $27,350.

Calculate the variance for Gourmet Bakers and state whether it is favourable or adverse.

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Worked solution

1. **Calculate the difference**:
$\text{Difference} = \text{Actual Cost} - \text{Budgeted Cost} = \$27,350 - \$25,000 = \$2,350$

2. **Determine the nature of the variance**:
Since the actual raw material cost (an expense) is higher than the budgeted cost, this is an **adverse** (or unfavourable) variance because it reduces profitability.

Marking scheme

[1 mark] for calculating the correct magnitude of the variance ($2,350).
[1 mark] for correctly identifying that the variance is adverse.
Award a maximum of [1 mark] if only $2,350 is stated without specifying 'adverse' (or 'unfavourable').

Question 6 · Calculation

2 marks

Alpha Assembly has a maximum production capacity of 8,500 microchips per week. Due to some unexpected machine maintenance issues, the factory produced 6,970 microchips last week.

Calculate the capacity utilization rate of Alpha Assembly last week.

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Worked solution

1. **Formula for capacity utilization**:
$\text{Capacity Utilization} = \left( \frac{\text{Actual Output}}{\text{Maximum Possible Capacity}} \right) \times 100$

2. **Calculation**:
$\text{Capacity Utilization} = \left( \frac{6,970}{8,500} \right) \times 100 = 0.82 \times 100 = 82\%$

Marking scheme

[1 mark] for showing correct formula or working (e.g., 6,970 / 8,500).
[1 mark] for the correct final answer of 82% (or 82) with working.
Award a maximum of [1 mark] if the correct final answer is given but no working is shown.

Question 7 · Short Answer

2 marks

Verdant Bites is a vegan cafe. It has fixed costs of $3,000 per month. Its selling price per meal is $15, and the variable cost per meal is $5. Its current level of monthly sales is 450 meals. Calculate Verdant Bites' monthly margin of safety in units.

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Worked solution

First, calculate the contribution per unit:
$\text{Contribution per unit} = \text{Selling price} - \text{Variable cost per unit} = \$15 - \$5 = \$10$

Next, calculate the break-even quantity:
$\text{Break-even quantity} = \frac{\text{Fixed costs}}{\text{Contribution per unit}} = \frac{\$3,000}{\$10} = 300\text{ meals}$

Finally, calculate the margin of safety:
$\text{Margin of safety} = \text{Current sales} - \text{Break-even quantity} = 450 - 300 = 150\text{ meals}$

Marking scheme

[1 mark] for correctly calculating the break-even level of output (300 meals) or for showing correct working with one calculation error.
[1 mark] for the correct final answer of 150 meals (accept 150 or 150 units).

Question 8 · Short Answer

2 marks

Apex Logistics is considering investing in a new delivery van costing $40,000. The expected net cash inflows are: Year 1: $15,000; Year 2: $18,000; Year 3: $14,000; Year 4: $10,000. Calculate the payback period for this investment.

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Worked solution

First, calculate the cumulative cash flows:
- Year 1: $15,000
- Year 2: $15,000 + $18,000 = $33,000
- Year 3: $33,000 + $14,000 = $47,000

The initial cost of $40,000 is recovered during Year 3.
Remaining amount to recover at the start of Year 3 = $40,000 - $33,000 = $7,000.

Calculate the fraction of Year 3 required:
$\text{Fraction of year} = \frac{\text{Remaining amount}}{\text{Cash flow in Year 3}} = \frac{\$7,000}{\$14,000} = 0.5\text{ years}$

Convert to months:
$0.5 \times 12\text{ months} = 6\text{ months}$.

Therefore, the payback period is 2 years and 6 months (or 2.5 years).

Marking scheme

[1 mark] for correct calculation of cumulative cash flows / identifying the remaining balance of $7,000 to be recovered in Year 3.
[1 mark] for the correct final answer of 2 years and 6 months (accept 2.5 years).

Question 9 · Short Answer

2 marks

Svelte Styles has the following financial information for 2023: Cash = $5,000; Accounts Receivable = $12,000; Inventory = $15,000; Accounts Payable = $10,000; Short-term Loans = $4,000. Calculate Svelte Styles' acid test (quick) ratio.

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Worked solution

First, calculate the liquid assets (Current Assets - Inventory):
$\text{Liquid Assets} = \text{Cash} + \text{Accounts Receivable} = \$5,000 + \$12,000 = \$17,000$

Next, calculate the current liabilities:
$\text{Current Liabilities} = \text{Accounts Payable} + \text{Short-term Loans} = \$10,000 + \$4,000 = \$14,000$

Calculate the acid test ratio:
$\text{Acid Test Ratio} = \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}} = \frac{\$17,000}{\$14,000} \approx 1.21$

Marking scheme

[1 mark] for correct calculation of liquid assets ($17,000) and current liabilities ($14,000), or for a correct formula with minor substitution errors.
[1 mark] for the correct final answer of 1.21 (accept 1.21:1 or 1.2).

Paper 2 Section B (Analytical Choice)

Answer one question from a choice of options. This section evaluates strategic growth, human resources, and operational change.

5 Question · 22 marks

Question 1 · Definition

2 marks

Define the term collective bargaining.

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Worked solution

Collective bargaining refers to the process of negotiations between management (or employer representatives) and trade union representatives (on behalf of employees) to agree on terms and conditions of employment, such as pay, working hours, and health and safety.

Marking scheme

Award 1 mark for a basic definition that shows some understanding of negotiations between employers and employees. Award 2 marks for a clear, complete definition that identifies the key parties (employers/management and union representatives) and the objective of the negotiations (reaching an agreement on terms and conditions of work).

Question 2 · Definition

2 marks

Define the term collective bargaining.

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Worked solution

Marking scheme

Question 3 · Analytical Explain

4 marks

Explain how a joint venture can help a manufacturing company manage risks when expanding into a foreign market.

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Worked solution

A joint venture (JV) is a strategic growth method where two or more businesses agree to combine resources to form a new legal entity. When a manufacturing company expands into a foreign market, a JV mitigates risks in several ways: 1. Shared Financial Burden: The capital investment for setting up new production facilities, buying machinery, and hiring local staff is split between the partners, reducing the financial exposure of the expanding manufacturer. 2. Local Market and Regulatory Expertise: The foreign partner typically possesses deep knowledge of local consumer preferences, distribution channels, and government regulations. This helps the manufacturer avoid costly compliance errors or marketing failures. 3. Operational Synergy: The manufacturer can leverage the partner's existing supply chains and local relationships, reducing the operational risks of sourcing raw materials and establishing reliable distribution networks from scratch.

Marking scheme

Marks are awarded as follows: 1 mark: Clear definition or understanding of a joint venture. 1 mark: Contextual application to a manufacturing business (e.g., referencing factories, machinery, supply chains, or physical goods). 2 marks: Detailed explanation of how risk is reduced or managed (e.g., split capital costs, regulatory navigation, or shared operational expertise).

Question 4 · Analytical Explain

4 marks

Explain how a single-union agreement can benefit an employer during a major operational change.

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Worked solution

A single-union agreement occurs when an employer agrees to negotiate with only one trade union to represent the entire workforce, rather than dealing with multiple different unions. During a major operational change (such as restructuring, introducing automated production processes, or relocating): 1. Streamlined Negotiations: The management only has to negotiate terms of change (such as redundancy packages, retraining schemes, or shifts) with one body. This saves time and prevents delays in implementing the change. 2. Prevention of Inter-Union Conflict: In a multi-union environment, different unions might have conflicting demands or compete for members by taking harder stances. A single-union agreement eliminates this rivalry, leading to more stable, predictable discussions. 3. Greater Flexibility: Single-union agreements often include no-strike clauses or agreements on flexible job descriptions, which directly helps the employer adapt operations quickly.

Marking scheme

Marks are awarded as follows: 1 mark: Clear definition or understanding of a single-union agreement. 1 mark: Contextual application to a major operational change (e.g., restructuring, new technology, automation). 2 marks: Detailed analysis of the benefits to the employer (e.g., speed of implementation, absence of multi-union friction, improved industrial harmony).

Question 5 · essay

10 marks

NaturaBites, a successful domestic producer of premium organic snacks, plans to expand its operations into a larger, highly competitive neighboring country. The board of directors is debating two potential external growth strategies:

Option 1: Form a joint venture with 'VeloDist', an established regional logistics and distribution firm in the target market.
Option 2: Acquire 'GreenGoodies', a struggling local organic snack brand that already has existing retail shelf space but suffers from poor financial management.

Evaluate whether a joint venture or an acquisition is the more appropriate growth strategy for NaturaBites to expand internationally.

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Worked solution

Introduction:

NaturaBites is looking to enter a competitive international market. External growth is an effective way to achieve this, with the two main options being a joint venture (a collaborative agreement where two businesses create a new entity while remaining independent) or an acquisition (purchasing a controlling interest in another company, absorbing it).

Option 1: Joint Venture with VeloDist

Arguments in favor:
- Local Market Expertise: VeloDist understands local distribution channels and logistics, which can overcome barriers to entry in a highly competitive market.
- Shared Risk & Financial Cost: Capital requirements are split, minimizing NaturaBites' exposure to risk in an unfamiliar territory.
- Synergy: NaturaBites brings product expertise while VeloDist brings market presence and logistics strength.
Arguments against:
- Shared Profit: Financial returns must be split between the two parent companies.
- Potential Conflict: Clash of organizational cultures or divergent strategic visions could delay decision-making.
- Lack of Control: NaturaBites cannot make unilateral decisions regarding operations in the target country.

Option 2: Acquisition of GreenGoodies

Arguments in favor:
- Immediate Shelf Space: Acquiring an established brand bypasses the difficult process of negotiating shelf space with competitive local supermarkets.
- Full Control: NaturaBites gains 100% ownership and can implement its own financial controls and operational strategies to fix GreenGoodies' inefficiencies.
- Asset Acquisition: NaturaBites acquires brand recognition and established customer relationships immediately.
Arguments against:
- High Costs: Purchasing a company outright requires significant capital, which might require NaturaBites to take on heavy debt.
- Integration Challenges: Integrating a struggling firm into NaturaBites' existing corporate structure may lead to culture clashes and demotivated staff.
- Financial Risk: GreenGoodies is struggling financially. NaturaBites may find that resolving these issues is more complex and costly than expected (hidden liabilities).

Conclusion & Evaluation:

The choice depends heavily on NaturaBites' financial capability and strategic priorities. If NaturaBites has limited capital and wishes to test the waters with reduced risk, a Joint Venture is highly appropriate. However, if they have strong financial reserves and seek long-term, high-margin dominance with complete strategic control over their international brand, the Acquisition is the superior option. Given that the target market is highly competitive, the strategic alliance (JV) represents a safer entry method before committing to a full-scale acquisition.

Marking scheme

The 10-mark essay is graded using the following analytical rubric:

9–10 Marks: The student demonstrates a comprehensive and accurate understanding of both Joint Ventures and Acquisitions. Highly relevant application to the case of NaturaBites. Balanced analysis of both options. The evaluation is critical, nuanced, and leads to a fully justified, logical conclusion.
7–8 Marks: Good understanding of both growth strategies. The arguments are applied well to the scenario, and there is balanced analysis. The conclusion is present and supported by arguments, though it may lack some depth or critical evaluation.
5–6 Marks: Moderate understanding of Joint Ventures and Acquisitions. The response is more descriptive than analytical. It may focus heavily on one option over the other, with limited or weak final evaluation.
3–4 Marks: Basic understanding of the concepts. The application is weak or superficial, and there is little to no structured analysis or evaluation.
1–2 Marks: Very limited understanding of business terms. The response is brief, disorganized, and lacks application or evaluation.

Paper 3 (Synoptic Strategy)

Answer all three questions based on a single deep case study of a social enterprise.

3 Question · 25 marks

Question 1 · Theoretical Application

2 marks

With reference to EcoClean, a social enterprise that employs marginalized individuals to provide ecological cleaning services, explain one reason why EcoClean might choose a social franchising model rather than organic growth to expand its operations.

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Worked solution

Social franchising allows a social enterprise to expand its business model using the capital and local market knowledge of franchisees. For EcoClean, this means they can quickly replicate their ecological cleaning service and employ more marginalized individuals in new geographical areas without needing to raise the significant financial capital required for organic expansion. The financial risk of opening new locations is transferred to the franchisee, while the social mission is preserved through the franchise agreement.

Marking scheme

Award 1 mark for identifying a valid reason for choosing social franchising over organic growth (such as rapid scaling of social impact, lower capital requirements, or leveraging local franchisee knowledge). Award 1 mark for application to the context of EcoClean (linking the expansion to its ecological cleaning services or its mission of employing marginalized individuals).

Question 2 · Explain

6 marks

Refer to the case study of 'Re-Built', a social enterprise that salvages construction waste to create upcycled furniture and employs formerly incarcerated individuals. Explain two challenges that 'Re-Built' faces as a social enterprise attempting to scale up its operations.

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Worked solution

Challenge 1: Balancing the Dual Mission (Mission Drift). Re-Built operates on a triple bottom line, focusing on social benefit alongside financial sustainability. As it scales up nationally, increased competition and overheads might pressure the enterprise to prioritize financial returns. This commercial pressure could lead to mission drift, where they might reduce the proportion of high-needs, formerly incarcerated employees in favor of more experienced workers to boost productivity. Challenge 2: Replicating Localized Support Systems. Re-Built's model relies heavily on localized support systems, including mentoring and close ties with local probation services. Replicating these intensive, relationship-based support frameworks across new cities is extremely difficult. Standardizing these services without losing the personalized care necessary for employee rehabilitation represents a major operational and cultural hurdle.

Marking scheme

For each of the two challenges: 1 mark is awarded for identifying a relevant challenge of scaling up. 1 mark is awarded for applying the challenge directly to the context of Re-Built as a social enterprise. 1 mark is awarded for explaining how this challenge affects the strategic objectives of the organization. (Maximum 3 marks per challenge, up to a total of 6 marks).

Question 3 · Strategic Proposal

17 marks

SolarCycle (SC) is a social enterprise that refurbishes discarded solar panels and batteries, providing affordable clean energy to low-income rural communities. SC also addresses a critical social issue by exclusively employing and training formerly incarcerated individuals, helping them reintegrate into society. SC has achieved financial sustainability through a cross-subsidization model: selling premium refurbished panels to urban eco-conscious consumers to fund subsidized installations in rural villages. SC is currently operating at maximum capacity at its single facility. The board is evaluating two distinct growth strategies to scale both their social impact and financial revenues:

Option 1: Franchising. SC would license its brand, technical manuals, and training curriculum to local entrepreneurs in neighboring countries. Franchisees would pay an initial fee plus a 5% royalty on revenues. SC would provide ongoing quality audits and training support. This model requires minimal capital investment from SC but poses a significant risk to brand reputation, service quality, and the strict adherence to their social mission of employing marginalized groups.

Option 2: Vertical Integration (Backward Integration). SC would acquire 'EcoVolt', a local, struggling battery recycling plant, for $350,000. This acquisition would secure SC's supply of lithium-ion batteries, lower raw material costs by 20%, and create 15 new high-skilled recycling jobs. Funding would come from a combination of a commercial bank loan ($200,000 at 6% interest) and an impact investment grant ($150,000). However, the board is concerned that integrating a chemical recycling facility might divert management's attention from community training programs and introduce environmental hazards.

Using the case study details and your knowledge of business management, write a strategic proposal to SolarCycle's founders recommending whether they should implement Option 1 (Franchising) or Option 2 (Vertical Integration) to grow their social enterprise.

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Worked solution

Executive Summary

SolarCycle (SC) must decide between Option 1 (Franchising) for rapid, low-capital geographic expansion and Option 2 (Vertical Integration) to secure its supply chain and local job creation. To maintain its social and environmental mission while ensuring financial viability, SC should implement Option 2 in the short-to-medium term, followed by Option 1 once quality control frameworks are standardized.

Strategic Analysis of Option 1: Franchising

Pros: Highly scalable with low capital requirement, allowing SC to expand clean energy access across regions. Royalty fees (5%) provide a passive, diversified revenue stream. Local entrepreneurs bring market-specific knowledge.
Cons: Quality control is difficult to police from afar. Discarded lithium-ion batteries carry fire and environmental risks if improperly handled. Critically, franchisees might neglect the social objective of employing and training formerly incarcerated individuals in favor of profit-maximization.

Strategic Analysis of Option 2: Vertical Integration

Pros: Secures direct control over battery inputs and lowers raw material costs by 20%, improving margins for urban sales. Directly creates 15 high-skilled green jobs for their target demographic (formerly incarcerated individuals), aligning perfectly with the core social mission.
Cons: High capital cost ($350,000) requiring a $200,000 commercial bank loan. At 6% interest, this creates an annual interest expense of $12,000, increasing financial risk. Operating a chemical battery recycling plant introduces hazardous waste risks and requires heavy management supervision.

Synthesis and Recommendation

Option 2 (Vertical Integration) is recommended. While Option 1 offers faster growth, SC's social enterprise identity relies heavily on its unique employment model and high safety standards for battery handling. Diluting this through franchising too early could lead to mission drift or catastrophic brand damage. By acquiring EcoVolt, SC strengthens its local supply chain, improves profit margins (which can fund future organic growth), and directly expands its social footprint by employing 15 more individuals in a highly controlled, safe environment. The $12,000 annual interest is manageable given the 20% raw material cost savings.

Marking scheme

This question is marked using the official IB Paper 3 holistic rubric (total 17 marks):

Criterion A: Evaluation of options (6 marks)
- 5-6 marks: The student provides a balanced, detailed evaluation of both Option 1 (Franchising) and Option 2 (Vertical Integration), explicitly discussing the trade-offs between rapid expansion and operational/quality control.
- 3-4 marks: Discussion of both options is present but lacks depth, or heavily favors one option without evaluating risks.
- 1-2 marks: Superficial or descriptive outline of the options with no real evaluation.

Criterion B: Use of business tools, techniques, and theories (4 marks)
- 4 marks: Relevant business tools (e.g., Ansoff Matrix, SWOT, Stakeholder analysis, Integration concepts) are integrated naturally and accurately.
- 2-3 marks: Some business tools are applied, but their connection to the recommendation is weak.
- 1 mark: Minimal or superficial use of business terminology.

Criterion C: Focus on social enterprise and stakeholder interests (4 marks)
- 4 marks: The response centralizes SC's dual mission (environmental energy access + rehabilitation of formerly incarcerated individuals) and directly addresses how each option impacts key stakeholders (employees, local communities, founders, lenders).
- 2-3 marks: The social mission is mentioned, but the analysis reads more like a generic commercial business case.
- 1 mark: Little to no recognition of SC's unique status as a social enterprise.

Criterion D: Structure and justification (3 marks)
- 3 marks: The strategic proposal is structured professionally (e.g., introduction, option analysis, final justified recommendation) with a logical flow.
- 1-2 marks: Lacks a formal structure or provides a weak, poorly supported recommendation.

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