More Optimisation
applied
Minimise the surface area or maximise the volume - Explore the mathematical principles and create your own unique investigation.
Introduction
Here is another classic scenario presented by mathematical olympiads. You can just put your own spin on it.
Guiding Questions
- What is the objective function you want to optimize?
- What constraints apply to this problem?
- How can you use calculus to find maximum or minimum values?
- Can you verify your solution is optimal rather than a local extremum?
- How sensitive is the optimal solution to changes in parameters?
Key Mathematical Concepts
Optimization
Calculus
Maximum and Minimum
Real-World Optimization