which deal is actually cheaper

Archived study

Models buy-one-get-one, half-price, and second-item-half-price promotions for equal and unequal item prices. The archive separates pair cost, per-item cost, and the case where only one item is wanted.

Interpretation and limits

The arithmetic assumes the stated eligibility and cheaper-item rules. Taxes, exclusions, quantity needs, and store-specific terms can change a real purchase comparison.

Package and provenance

The original .science export and matching poster are preserved byte-for-byte from the upstream case. The package contains the conversation, session metadata, and the resources inventoried in its internal manifest. This introduction summarizes the archived record; the research, external sources, and model evaluations were not rerun for this import.