2025 IB DP Business management 模擬試題連答案詳解

(a) Contingency planning is the process of preparing alternative courses of action that a business can implement if an unexpected crisis or event occurs, helping to minimize negative impacts and ensure business continuity. (b)(i) Expected loss = Probability of disruption \(\times\) Loss amount = \(0.15 \times \$800,000 = \$120,000\). (b)(ii) Expected cost with contingency plan = Planning cost + (Probability of disruption \(\times\) Reduced loss amount) = \(\$40,000 + (0.15 \times \$150,000) = \$40,000 + \$22,500 = \$62,500\). (b)(iii) Expected cost with insurance = Insurance premium + (Probability of disruption \(\times\) Covered loss) = \(\$60,000 + (0.15 \times \$0) = \$60,000\). (c) Based on the expected cost calculations, Ardent Foods should choose the premium backup logistics insurance. Its total expected cost of \(\$60,000\) is lower than both the contingency plan option (\(\$62,500\)) and doing nothing (\(\$120,000\)).

(a) Award 1 mark for a basic definition that mentions preparing for unexpected events. Award 2 marks for a complete definition mentioning proactive steps/procedures to mitigate risks and maintain business continuity. (b)(i) Award 1 mark for correct working shown and 1 mark for the correct answer of \(\$120,000\). (b)(ii) Award 1 mark for correct working shown and 1 mark for the correct answer of \(\$62,500\). (b)(iii) Award 1 mark for correct working shown and 1 mark for the correct answer of \(\$60,000\). (c) Award 1 mark for identifying that purchasing insurance is the best option based on the calculations. Award 2 marks for a full explanation that compares the expected costs (\(\$60,000\) vs \(\$62,500\) and \(\$120,000\)) to justify the recommendation.

(a) Sales forecasting is a quantitative management tool that uses historical data and market trends to predict a business's future sales volume or value over a specific time period. (b)(i) A three-quarter moving average is calculated by averaging three consecutive quarters. Centered on Q2: \((120 + 150 + 180) / 3 = 150\) units. Centered on Q3: \((150 + 180 + 150) / 3 = 160\) units. Centered on Q4: \((180 + 150 + 240) / 3 = 190\) units. Centered on Q5: \((150 + 240 + 210) / 3 = 200\) units. (b)(ii) Seasonal variation = Actual Sales - Trend (Moving Average). For Quarter 3: \(180 - 160 = +20\) units. For Quarter 4: \(150 - 190 = -40\) units. (c) A key limitation of moving averages is that they are backward-looking. They assume that past patterns and trends will continue into the future, thereby failing to predict sudden external shifts such as new competitor entries, regulatory changes, or macroeconomic downturns.

(a) Award 1 mark for a partial definition (e.g., predicting future sales). Award 2 marks for a complete definition mentioning the use of historical data or statistical methods to predict future sales over a specific time frame. (b)(i) Award 1 mark for each correctly calculated centered moving average (maximum of 4 marks). (b)(ii) Award 1 mark for each correctly calculated seasonal variation with the correct sign (+/-) (maximum of 2 marks). (c) Award 1 mark for identifying a valid limitation (e.g., ignores qualitative factors, backward-looking). Award 2 marks for a full explanation of how this limitation affects Lumina Tech's decision-making or forecasting accuracy.

(a) Cumulative cash flows: Year 1: \(\$100,000\); Year 2: \(\$100,000 + \$120,000 = \$220,000\). Remaining balance needed at end of Year 2 = \(\$320,000 - \$220,000 = \$100,000\). Year 3 net cash inflow = \(\$140,000\). Payback fraction = \(\$100,000 / \$140,000 = 0.714\) of a year. Months = \(0.714 \times 12 \approx 8.57\) months. Payback period = \(2\) years and \(8.6\) months (or \(2\) years and \(9\) months if rounded). (b) Net Present Value (NPV) calculation: Present Value (PV) of Year 1 = \(\$100,000 \times 0.9259 = \$92,590\). PV of Year 2 = \(\$120,000 \times 0.8573 = \$102,876\). PV of Year 3 = \(\$140,000 \times 0.7938 = \$111,132\). PV of Year 4 = \(\$80,000 \times 0.7350 = \$58,800\). Total Present Value of Cash Inflows = \(\$92,590 + \$102,876 + \$111,132 + \$58,800 = \$365,398\). NPV = Total PV - Initial Cost = \(\$365,398 - \$320,000 = \$45,398\). (c) NPV is a more comprehensive appraisal tool because it factors in the time value of money (the fact that money received in the future is worth less than money today due to interest rates, inflation, and opportunity costs). The payback period ignores the time value of money and also ignores any cash flows received after the payback point (such as the Year 4 cash flows). (d) Yes, AeroGlide Logistics should proceed with the investment because the Net Present Value is positive (\(+\$45,398\)), indicating that the project will generate wealth above the cost of capital, and it has a relatively short payback period of under three years (\(2\) years and \(8.6\) months) relative to its four-year life.

(a) Award 1 mark for correct working showing cumulative cash flows or the correct fraction of the year. Award 2 marks for the correct final answer of \(2\) years and \(8.6\) months (accept \(2.71\) years, or \(2\) years and \(9\) months if rounded logically). (b) Award 1 mark for attempting to multiply cash flows by discount factors. Award 2 marks for calculating the correct total present value of inflows (\(\$365,398\)). Award 3 marks for correct working with a minor arithmetic error. Award 4 marks for the correct final NPV of \(\$45,398\). (c) Award 1 mark for identifying a valid advantage of NPV over payback period (e.g., time value of money, considers all cash flows). Award 2 marks for explaining this advantage in the context of AeroGlide's long-term decision-making. (d) Award 1 mark for expressing a clear decision (yes) based on the calculated values. Award 2 marks for a fully justified decision referring to both the positive NPV (\(\$45,398\)) and the payback period relative to the project's lifespan.

### Part (a)
Net Present Value (NPV) is an investment appraisal method that calculates the total discounted value of all future cash inflows of a project minus the initial investment cost, adjusting for the time value of money.

### Part (b)
**(i) Project Alpha NPV calculation:**
* Year 1: \( $600,000 \times 0.9259 = $555,540 \)
* Year 2: \( $800,000 \times 0.8573 = $685,840 \)
* Year 3: \( $800,000 \times 0.7938 = $635,040 \)
* Year 4: \( $400,000 \times 0.7350 = $294,000 \)
* Total Present Value (PV) = \( $555,540 + $685,840 + $635,040 + $294,000 = $2,170,420 \)
* NPV = \( $2,170,420 - $2,000,000 = $170,420 \)

**(ii) Project Beta NPV calculation:**
* Year 1: \( $200,000 \times 0.9259 = $185,180 \)
* Year 2: \( $600,000 \times 0.8573 = $514,380 \)
* Year 3: \( $1,200,000 \times 0.7938 = $952,560 \)
* Year 4: \( $1,200,000 \times 0.7350 = $882,000 \)
* Total Present Value (PV) = \( $185,180 + $514,380 + $952,560 + $882,000 = $2,534,120 \)
* NPV = \( $2,534,120 - $2,000,000 = $534,120 \)

### Part (c)
Two non-financial factors NC should consider include:
1. **Setup time and opportunity cost:** Project Alpha can be ready in 3 months, allowing NC to immediately address its 95% capacity constraint and meet urgent market demands. Project Beta takes 18 months, meaning NC remains capacity-constrained for a long time, during which competitors might permanently capture its market share.
2. **Human resource risks:** Project Alpha utilizes and rewards the existing highly skilled workforce. Project Beta requires moving to a new region/country, requiring NC to recruit and train an entirely new workforce, which risks lower productivity, training delays, and potential quality control issues.
3. **Political stability / external risk:** Project Beta is located in a neighboring country with reported political instability, exposing NC to risks of civil unrest, regulatory changes, or supply chain blockades. Project Alpha remains in the home country, offering high operational security.

### Part (d)
**Arguments for Project Alpha:**
* Safer and faster implementation (3 months vs 18 months). Immediate relief for the 95% capacity constraint.
* Less risk: uses known, highly skilled workforce; located in home region with no political risk.
* Faster cash generation in the first two years (positive cash flow of $600k and $800k in years 1 and 2), reducing liquidity risks.
* However, the NPV is significantly lower ($170,420) and physical constraints will block any future expansion, which might be a critical limitation in a high-growth EV market.

**Arguments for Project Beta:**
* Financially much superior with an NPV of $534,120, more than triple that of Alpha.
* Greenfield plant provides long-term scalability and avoids the physical layout limitations of Alpha.
* Lower labor costs in the special economic zone could lead to higher operating profit margins in the long run.
* However, it carries high risks: an 18-month delay before production begins, political instability, and recruitment/training issues.

**Conclusion/Recommendation:**
If NC's main goal is to capitalize on the current, rapid boom without losing existing customers to competitors due to capacity issues, **Project Alpha** is the better choice despite its lower NPV. It stabilizes operations immediately and leverages trusted staff. However, if NC wants to be a major, scalable player in the long run and can tolerate cash-flow constraints for 18 months, **Project Beta** offers a vastly superior financial return. An excellent recommendation would suggest Project Alpha as a short-to-medium-term upgrade, or Project Beta only if NC can secure intermediate outsourcing to handle the 18-month gap.

### Part (a) [2 marks]
* **2 marks**: Clear definition of NPV, mentioning both the discounting of future net cash flows and the deduction of the initial outlay.
* **1 mark**: Vague definition (e.g., "an investment method that considers interest rates" or just "discounted cash flow").

### Part (b) [4 marks total]
* **(i) [2 marks]**: Award 1 mark for calculating correct total present value ($2,170,420) and 1 mark for correct NPV ($170,420). Show of working is required.
* **(ii) [2 marks]**: Award 1 mark for calculating correct total present value ($2,534,120) and 1 mark for correct NPV ($534,120). Show of working is required.
* *Note: If a minor arithmetic error is made but the process is correct, follow Own Figure Rule (OFR) to award 1 mark.*

### Part (c) [4 marks]
For each of the two non-financial factors:
* **1 mark**: Identifies/defines a valid factor (e.g., implementation speed, political risk, labor skills).
* **1 mark**: Explains the factor in direct relation to the stimulus (e.g., linking the 18-month construction delay of Beta to losing EV market share).
* *Max 2 marks per factor, up to 4 marks total.*

### Part (d) [10 marks]
* **9-10 marks**: Well-structured, balanced, and deep evaluation. Analytical arguments are fully integrated with both quantitative results (NPVs of $170,420 vs $534,120) and qualitative realities (time delays, political risk, staffing). The recommendation is realistic, balanced, and addresses short-term vs long-term tradeoffs.
* **7-8 marks**: Balanced discussion of both options with good integration of financial and non-financial factors. A clear recommendation is provided, though the evaluation may lack the critical depth or nuance of a 9-10 mark answer.
* **5-6 marks**: Good analytical attempt. Tends to focus on either only financial or only non-financial factors, or presents a unbalanced review of Alpha vs Beta. The recommendation might be superficial or lack support from the preceding analysis.
* **3-4 marks**: Primarily descriptive response with limited analysis. Little or no use of the calculations from part (b). No clear recommendation.
* **1-2 marks**: Generic response, showing very limited understanding of business concepts or the stimulus. No evaluation.

According to Daniel Pink's Drive theory, individuals are motivated by intrinsic rewards rather than extrinsic ones (like money). The three key drivers are:

1. **Autonomy**: The desire to be self-directed and have control over how tasks are completed.
2. **Mastery**: The desire to improve skills, learn, and get better at something that matters.
3. **Purpose**: The desire to do something meaningful and contribute to a cause larger than oneself (which is particularly strong in social enterprises).

Award 1 mark for each correctly identified driver of Daniel Pink's theory, up to a maximum of 2 marks:
- Autonomy (1 mark)
- Mastery (1 mark)
- Purpose (1 mark)

Maximum award: 2 marks.
Do not accept elements from other motivation theories (e.g., hygiene factors, self-actualization, or expectancy).

### Motivational Challenges:
- **Safety and Security Needs (Maslow):** GreenCycle's employees are formerly incarcerated individuals who highly value stability, structured routines, and financial independence to successfully reintegrate into society. The sudden shutdown threatens their basic physiological and safety needs, causing extreme demotivation and anxiety.
- **Social Purpose and Trust:** Social enterprises rely on strong internal alignment with their mission. If operations are suspended, employees may feel abandoned, leading to a breakdown of organizational trust and potential relapse/recidivism.

### Operational Challenges:
- **Supply Chain & Capacity Constraints:** Losing 70% of equipment and inventory means the business cannot meet existing demand, and operational flow is completely broken.
- **Cash Flow Pressures:** Resuming operations in a temporary space involves high premium rents and setup costs, which could deplete cash reserves before insurance payouts arrive.

### Strategic Options Evaluation:
- **Option 1 (Rent immediately):** Maintains the social mission, protects employee well-being, and retains community goodwill. However, it incurs high financial costs and operational inefficiencies due to a smaller workspace.
- **Option 2 (Suspend for 3 months):** Financially safer in the short term as it avoids high temporary rental costs and allows waiting for the insurance payout. However, it is highly damaging to the employees' welfare, potentially causing irreversible harm to the workforce and the enterprise's social reputation.

### Recommendation:
GreenCycle must select **Option 1**. As a social enterprise, its primary bottom line is social impact rather than pure profit maximization. Suspending operations for three months risks the entire rehabilitation progress of its employees. To mitigate the financial strain of the high premium rent, GreenCycle can leverage its social mission to launch a community crowdfunding campaign or seek emergency social enterprise grants to bridge the funding gap.

### Mark Breakdown:
- **5–6 marks:** Clear, balanced explanation of both motivational (e.g., threat to safety/reintegration needs of vulnerable staff) and operational challenges (e.g., capacity loss, cash flow). Balanced evaluation of both Option 1 and Option 2, leading to a well-justified strategic recommendation that aligns with the objectives of a social enterprise.
- **3–4 marks:** Explains motivational and operational challenges with some application to the context of GreenCycle. The evaluation of options is presented but may lack balance or depth. A recommendation is made but lacks strong, mission-aligned justification.
- **1–2 marks:** Superficial explanation of challenges with little to no application to the social enterprise context. The response is descriptive rather than analytical, with a weak or missing recommendation.

### Strategic Plan of Action for EcoSprout

#### 1. Introduction & Situation Analysis
EcoSprout is facing a critical dual crisis of financial insolvency (loss of 45% grant funding) and operational distress (35% crop loss due to infestation). This has triggered an internal human resource crisis, as cost-cutting measures (wage freeze, suspended mentoring) have severely damaged staff morale. The core challenge is navigating this survival crisis without permanently abandoning the social enterprise's dual mission of rehabilitation and community food security.

#### 2. Motivational Analysis
Using **Herzberg's Two-Factor Theory**:
- **Hygiene Factors (Dissatisfaction):** The sudden wage freeze directly attacks basic hygiene factors (salary, working conditions). For formerly incarcerated individuals, stable wages represent security and survival. This explains the rise in absenteeism and turnover.
- **Motivator Factors (Satisfaction & Growth):** The mentoring program is a vital motivator, offering psychological support, personal growth, and recognition. Suspending this program deprives employees of intrinsic motivation and their primary support structure, resulting in a feeling of abandonment by the enterprise.

Using **Maslow's Hierarchy of Needs**:
- The employees are pushed down to basic survival (physiological and safety) needs due to the wage freeze and job insecurity. Higher-level needs like belongingness and self-actualization, previously met via mentoring, are completely unfulfilled, halting their path to successful reintegration.

#### 3. Key HR and Operational Challenges
- **Human Resource Challenges:** High employee turnover increases recruitment and training costs—resources EcoSprout does not have. Increased absenteeism delays harvest cycles, while low morale directly correlates with poor quality control on the remaining crops.
- **Operational Challenges:** Restoring crop yields post-infestation requires immediate capital for non-toxic pest control. The failure to fulfill orders to premium commercial restaurants damages trust, which threatens the cross-subsidization model. A full pivot to a commercial model might save cash flow in the short term but risks losing social enterprise status, volunteer networks, and future impact-investor funding.

#### 4. Strategic Recommendation & Plan of Action

**Short-Term Actions (1-3 Months):**
- **Operational Recovery:** Immediately implement organic, low-cost pest management techniques (e.g., introducing beneficial predatory insects) to salvage remaining crops. Partner with local agricultural colleges for free technical assistance.
- **HR & Motivation:** Re-establish the mentoring program using qualified volunteer mentors from local universities or non-profits to eliminate costs. Conduct transparent town hall meetings to explain that the wage freeze is temporary, linking its lifting to specific recovery milestones (building trust).
- **Emergency Financing:** Launch a targeted crowdfunding campaign highlighting the dual threat to community food security and worker rehabilitation to secure immediate bridging cash. Seek short-term social impact loans.

**Long-Term Strategy (4-12 Months):**
- **Hybrid Pricing Model:** Avoid a complete commercial pivot. Instead, implement a 'one-for-one' or tiered pricing structure. Scale up high-end restaurant sales slightly to 60% of output temporarily, while reserving 40% for the community. Use the premium revenue to systematically lift the wage freeze.
- **Revenue Diversification:** Develop alternative revenue streams that utilize the urban farms, such as paid educational workshops, corporate team-building days, or selling organic compost to diversify away from heavy reliance on municipal grants.

### Marking Rubric (Total: 17 Marks)

#### Criterion A: Focus and Structure (Max 4 Marks)
- **3-4 Marks:** The response is structured as a professional strategic plan of action with appropriate headings. Business terminology (e.g., cross-subsidization, hygiene factors, social enterprise) is used accurately and consistently throughout.
- **1-2 Marks:** The response is unstructured or poorly organized. Terminology is limited or used incorrectly.

#### Criterion B: Analysis and Evaluation (Max 5 Marks)
- **4-5 Marks:** In-depth, balanced analysis of both HR (using motivation theory) and operational challenges. Evaluates the tension between the commercial pivot and social mission with clear reference to stakeholders.
- **2-3 Marks:** Some analysis of motivation or operations, but lacks depth or theoretical backing (e.g., mentions motivation but doesn't apply Herzberg/Maslow effectively). Evaluation is one-sided.
- **1 Mark:** Superficially lists problems without meaningful analysis.

#### Criterion C: Recommendations and Justification (Max 5 Marks)
- **4-5 Marks:** Proposes a realistic, structured plan divided into short-term and long-term actions. Recommendations are highly consistent with the analysis, feasible under cash constraints, and strongly justified.
- **2-3 Marks:** Recommendations are present but lack clear distinction between short- and long-term, or are financially unrealistic given the grant loss.
- **1 Mark:** Generic recommendations with little relevance to the specific crisis.

#### Criterion D: Social Enterprise Context (Max 3 Marks)
- **3 Marks:** The unique nature of the social enterprise (rehabilitation, dual mission, vulnerability of the workforce) is central to the entire response.
- **1-2 Marks:** Limited focus on the social mission, treating EcoSprout mostly like a standard commercial firm.