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displaystyle u\colon x o \mathbb {r} } ranks each package in the consumption set. if the consumer strictly prefers x to y or is indifferent between them, then u ( x ) ≥ u ( y ) {\displaystyle u(x)\geq u(y)} . for example, suppose a consumer's consumption set is x = {nothing, apple, orange, apple and orange, apples
, oranges}, and its utility function is u(nothing) = , u( apple) = , u( orange) = , u( apple and orange) = , u( apples) = and u( oranges) = . then this consumer prefers orange to apple, but prefers one of each to oranges. in micro-economic models, there are usually a finite set of l commodities, and...
https://en.wikipedia.org/wiki/Utility