Convincing Features
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A supermarket chain in Kuala Lumpur faces long queues at checkout counters, leading to frequent customer complaints. Management wants to evaluate options such as opening more counters, introducing self-checkout machines, or implementing mobile payment systems.
Using the quantitative analysis approach, explain how you would (a) clearly define the problem and (b) develop a model to test these solutions before implementation.
A large services company adopted HR analytics software to reduce employee turnover. However, many managers prefer “gut feelings,” and employees are reluctant to use the new system. As a result, the system is underutilized.
Explain why the implementation stage is often the most difficult in quantitative analysis. Propose two strategies the company can apply to overcome resistance and ensure successful adoption.
A mobile app company collects user ratings on app performance with the options: Poor, Fair, Good, Very Good, Excellent. The marketing team wants to calculate the average rating to report to investors.
Identify the measurement scale of this data. Discuss whether calculating the mean is appropriate and suggest alternative analysis methods.
Three branches of a retail store recorded monthly sales as follows:
Branch A: 12,000; 12,500; 13,000
Branch B: 8,000; 15,000; 20,000
Branch C: 10,500; 10,700; 10,600
For each branch, recommend the most suitable measure of central location and measure of dispersion. Justify your choice and explain the managerial insights from the comparison.
A factory produces 1,000 units per day, with an average of 10 defective units daily. The management is considering whether to hire additional quality inspectors.
Would this situation follow a discrete or continuous probability distribution? Explain your reasoning and show how this distribution could guide decisions about hiring more inspectors.
A manufacturing company is choosing between two projects:
Project A (Solar Energy): High long-term benefits if customers value sustainability, but uncertain demand.
Project B (Coal Plant Upgrade): Lower risk and cost savings, but potential negative impact on brand image.
Apply the Maximin and Maximax approaches to this decision. Which option would better align with the company’s ESG (Environmental, Social, Governance) commitments?
A startup is deciding whether to expand into:
Market X: 70% chance of moderate profit (RM500,000), 30% chance of loss (RM200,000).
Market Y: 50% chance of high profit (RM1,000,000), 50% chance of loss (RM600,000).
a) Using Expected Monetary Value (EMV), determine which market is financially preferable.
b) Explain how Sensitivity Analysis could help the startup prepare for uncertain future market changes.
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