Optimizing iPhone Color Production
by Deepak Arora
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.
Lesson Plan Link/URL
https://docs.google.com/presentation/d/17YD-rKqot5uhDh-uNdgJHFYPgf0HHUs1/edit?u…Related Content
Grades:
9th Grade, 10th Grade, 11th Grade, 12th Grade
In this lesson, students use the Kepler’s Laws PhET Simulation to collect data on the period and average radius of the planetary orbits. They graph and analyze that data to derive Kepler’s 3rd Law.
Grades:
8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
VR in the classroom, oh my! This Day 1 lesson provides students an introductory understanding of chain reactions, Rube Goldberg and his machines, the Oculus (Meta) Quest 2, the online game Dynamic
Grades:
7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Students will use projectile motion as practical example to better understand how parabolas (quadratic equations) are built. Students will also tabulate x and y values on Google Spreadsheets and graph