Optimizing iPhone Color Production

In this real-world STEM lesson, students take on the role of product planners at Apple to determine the optimal production mix of iPhone 16 colors that maximize profit while considering demand, capacity, and material constraints. They learn linear programming by formulating a mathematical model and defining decision variables, objective functions, and constraints. Students solve the problem using graphical methods or software, interpret solutions, and discuss implications. A hands-on group project reinforces learning by applying linear programming to related product mix optimization scenarios. The lesson incorporates differentiation, enrichment, and practical applications to build problem-solving and mathematical modeling skills.