Finding the Best

Mathematical Modeling · Axiom Academy

Discover how mathematics helps us find optimal solutions in a world of trade-offs and constraints Optimization is everywhere - from nature to engineering. Click each card to explore everyday examples where finding "the best" matters. Use the slider to explore this function and find where it reaches its maximum value. Watch how the output changes as you vary the input. Real optimization problems have constraints - limited resources that restrict our choices. Use the sliders to allocate resources and maximize your output, but watch your limits! Product A: 6 profit, uses 4 labor, 3 materials, 2 machine hours Product B: 4 profit, uses 2 labor, 2 materials, 2 machine hours All constraints satisfied Some functions have multiple peaks. Click on different points on the graph to explore - can you find both the local and global maximum? Click anywhere on the graph to explore. Look for the highest overall point! Peaks discovered: 0/2

This is the written version of the interactive lesson above. See the full Mathematical Modeling course.