5 Mathematical Derivation of Demand Curves of Cobb Douglas, Perfect Complements, Perfect Substitutes, Quasi-linear and max utility functions

In the following videos we show how to derive marshallian demand vector of the form x*(p,m) and y*(p,m)

Budget equation is m=p1x + p2y

We have several utility functions. Our motive is to derive maximum utility subject to the budget or income given.

Cobb Douglas U=xy

Perfect Complements U=min{x,y}

Perfect Substitutes U = x+y

Max utility functions U =max{x,y}

Quasilinear utility functions U = root x + y