Optimization Project

In this project, students will use calculus to optimize a product or design. They will have to carefully characterize the variables and constraints of their system to form an equation to be optimized, and then take the derivative to find the maximum or minimum of that function. They must include precise justification/explanations for their initial setup, for each step of the solution, and for their analysis of the problem. Once the optimized measurements are calculated, they will create a physical model to match their calculations.