
Philip T. answered 03/28/19
Micro and Macro Economics made simple! Experienced Ivy League Tutor
Utility functions in microeconomics are used to illustrate how an individual values the consumption of different goods. We usually model the choice between just two goods. It is possible therefore that a consumer might possess many different utility functions, depending on the goods they are considering. The idea of there being some 'optimal' utility function for a household therefore does not make much sense in the context of consumer choice theory.
Utility functions are simply a mathematical expression that is trying to model the preferences of an individual. One person might consider beer and wine to be perfect substitutes (they just care about consuming alcohol) and another person might have a strong preference for beer over wine. Their utility functions will be different.