Limits & Differentiation.

Abstract

In the modern corporate landscape, businesses must navigate complex trade-offs between cost, price, and demand to remain competitive. This project explores the practical application of mathematical calculus—specifically limits and differentiation—as a primary tool for strategic business optimization. By applying the First and Second Derivative Tests, we demonstrate how firms can mathematically identify critical points to maximize profit and revenue while minimizing operational costs. Through real-world scenarios, including production planning and inventory control, this study illustrates that calculus is not merely an academic exercise but a foundational framework for data-driven decision-making, leading to improved resource allocation and higher profit margins.

Research Team