Summary: The text discusses the limitations and challenges of developing an accurate quantity index as a measure of utility in economics. It explores the intrinsic indeterminacy in determining ordinal relationships and the complexity of revealing preferences based on price and quantity data. The algebra of revealed preference is shown to be distinct from regular numerical comparisons, indicating the difficulty in defining equality and the role of intermediate points in making comparisons. The analysis demonstrates that even with added information from multiple points, uncertainties in utility comparisons remain due to the curvature and properties of indifference curves. The discussion also touches on the implications of single commodity rationing and the role of budgets in limiting expenditure. Overall, the text highlights the intricacies and constraints in quantifying utility and preferences in economic analysis, emphasizing the complex interplay between price data, quantity constraints, and utility evaluations.