Brain Teaser: The Data Ownership And Insights Dilemma

Three departments share data through an AI platform:

• Marketing contributes 40% of the data, wants 50% of the insights

• Sales contributes 35% of the data, wants 40% of the insights

• Operations contributes 25% of the data, wants 30% of the insights

Each department's requests total 120% of available insights. How should the AI system fairly allocate insights to minimize dissatisfaction?

Note: This is a complex problem. But here is a simplified answer. We have to go deep into calculus to come up with a better answer (which only varies by a small percentage). If any of you can do the math, please feel free to provide a more "accurate" percentage allocation.

Simplified Answer:
To minimize dissatisfaction (by equalizing the absolute shortfall from their requests), the AI system should allocate insights as follows:

· Marketing: 43.33% of insights (shortfall of 6.67% from desired 50%)

· Sales: 33.33% of insights (shortfall of 6.67% from desired 40%)

· Operations: 23.33% of insights (shortfall of 6.67% from desired 30%)

This ensures that each department experiences the same absolute dissatisfaction, which is fair and minimizes the maximum dissatisfaction.