Metrics and KPIs Problem-Solving and Analytical Questions

1. You have a product that has a conversion rate of 5%. If you increase your website traffic by 20%, what would be the expected number of conversions if the current traffic is 10,000?

2. Given two products A and B, Product A generates $100,000 in revenue with 2,000 units sold, while Product B generates $80,000 with 1,600 units sold. Calculate and compare the average revenue per unit sold for both products.

3. A project team has completed 60% of the work in 4 weeks but the project is scheduled to take 8 weeks in total. If they continue at this rate, will they meet the deadline? Justify your answer with calculations.

4. You have three metrics: cost, time, and quality. If you could only improve one metric significantly without affecting the others, which metric would you choose to enhance a product’s launch success and why?

5. A company wants to track the Net Promoter Score (NPS) quarterly. In the first quarter, the score was 70, in the second quarter it dropped to 60, and in the third quarter it increased to 80. Analyze the trend of the NPS and suggest possible implications for the business.

6. You have to decide between two marketing strategies. Strategy A costs $10,000 and is projected to generate $25,000. Strategy B costs $8,000 and is projected to generate $22,000. Calculate the return on investment (ROI) for both strategies and recommend which one to choose based on your findings.

7. You conduct a survey that shows a customer satisfaction score of 75%. After implementing a new feature, the score increases to 85%. If the sample size for the first survey was 200 and for the second was 150, calculate and compare the significance of the difference in scores.

8. A project has a duration of 5 months, with the following task durations: A (1 month), B (2 months), C (1 month), and D (2 months, dependent on B). What is the minimum possible time to complete the project and what critical path analysis can you derive?

9. You have a dataset showing customer acquisition costs (CAC) over six months: $200, $250, $230, $300, $280, $260. Using this data, calculate the average CAC and identify any trend you observe.

10. A product manager needs to decide whether to continue with a feature that has a user engagement rate of 15% or switch to another feature with 40% predicted user engagement. However, the new feature will require 3 months of development. Create a decision matrix that weighs risks and rewards associated with each option, considering potential impacts on user retention.