The Rearrangement Inequality

Big with big, small with small

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• Same order (big with big) maximises a sum of products.
• Opposite order minimises it.
• It explains why resources should go where they count most.

Steps

1. Pairing up
2. Price the stock
3. Exam strategy
4. The biggest total
5. Match them up
6. Shortest job first