Editing Utility maximization problem (section)

== Utility maximisation of perfect complements ==
U = min {x, y} 
[[File:Utility_maximisation_of_a_minimum_function.png|thumb|Figure 3: This shows the utility maximisation problem with a minimum utility function.]]

For a minimum function with goods that are [[Complementary good|perfect complements]], the same steps cannot be taken to find the utility maximising bundle as it is a non differentiable function. Therefore, intuition must be used. The consumer will maximise their utility at the kink point in the highest indifference curve that intersects the budget line where x = y.<ref name=":0" /> This is intuition, as the consumer is rational there is no point the consumer consuming more of one good and not the other good as their utility is taken at the minimum of the two ( they have no gain in utility from this and would be wasting their income). See figure 3.