Before generation
Use for price per mass, distance per time, output per hour, density-like classroom comparisons, or another clearly defined rate when normalization to one base unit supports a decision. It does not repair incompatible units, include fixed fees, adjust quality, estimate uncertainty, infer proportionality beyond each entered pair, or decide whether lowest or highest is desirable.
Worked example
Option A normalizes 18 over 3 to six, option B 25 over 5 to five, and option C 42 over 6 to seven. The review option 32 over 4 should be eight, not six. With a lowest-rate goal, option B is selected; a highest-rate goal would select the review option after its arithmetic is corrected.
Formula or methodology
For every positive base quantity b, unit rate r equals outcome quantity q divided by b and is labeled outcome units per one base unit. Sort the rates in ascending order. A lowest goal selects the minimum and a highest goal selects the maximum. Values equal within the disclosed numeric tolerance remain tied rather than receiving an arbitrary winner.
How to interpret the result
A supported row has the correct division order and numeric rate. The selected option answers only the entered lowest-or-highest criterion among the supplied comparable pairs. A real decision may also require quality, fixed costs, uncertainty, capacity, safety, fairness, or domain constraints, so inspect those separately before acting.
Common mistakes
Do not invert the rate midway, compare totals with different base amounts, mix units, assume lower is always better, round close choices too early, hide ties, include a zero denominator, or call a fixed-fee relationship proportional. Write units as a fraction, divide to one base unit, estimate, retain precision, and verify the decision criterion.