Use separate graphs to draw indifference curves for each of the following utility functions:
a.U(x, y) min2x  y,2y  x.
b.U(x, y) max2x  y,2y  x.
c.U(x, y) x  minx, y.In which of these cases are preferences convex?

Utility Function

An expression that quantitatively describes how consumer preferences are ordered, indicating the level of happiness or fulfillment they derive from various goods or services.

Indifference Curves

Graphical representations used in microeconomics to illustrate different combinations of two goods among which a consumer is indifferent in terms of utility or satisfaction.

Preferences Convex

A characteristic of consumer choices where combinations of goods are preferred over extreme options, illustrating a desire for variety.