This document outlines Louisa May Alcott's preliminary investigation into using algebra to optimize industrial packaging design. It discusses using arithmetic, procedural, and conceptual approaches to model the relationships between packaging dimensions and factors like volume, area, and cost. The conceptual approach aims to minimize waste and maximize efficiency. The investigation will involve using polynomials of varying degrees to represent packaging attributes and finding patterns. The goal is to generalize relationships and apply concepts from algebra to real-world packaging contexts.