  Duality is the heart of advanced microeconomics. It exists everywhere
throughout advanced microeconomics, from the beginning of consumer theory to
the end of production theory. The complex, circular relationships among various
theoretical microeconomic concepts involved in the setting of duality theory
have led it to be called the "wheel of pain" by many graduate economics
students . Put simply, the main aim of this paper is to turn this "wheel of
pain" into a "wheel of joy". To be more specific, the primary purpose of this
paper is to graphically decode the logical, complex relationships among a
quartet of dual functions which present preferences as well as a quartet of
demand-related functions in a visual manner.
