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basic setup[ edit ] suppose the consumer's consumption set , or the enumeration of all possible consumption bundles that could be selected if there were no budget constraint, has l commodities and is limited to positive amounts of consumption of each commodity. let x be the vector x={xi;i= ,...l} containing
parameters, then x ( p , i ) {\displaystyle x(p,i)} is called the marshallian demand function ; otherwise, x ( p , i ) {\displaystyle x(p,i)} is set-valued and it is called the marshallian demand correspondence . reaction to changes in prices[ edit ] for a given level of real wealth, only relative prices matter...
https://en.wikipedia.org/wiki/Utility_maximization_problem