# How do you minimize and maximize #f(x,y)=x^2/y+y^2/x# constrained to #1<yx^2+xy^2<16#?

##### 1 Answer

Jan 10, 2017

See below.

#### Explanation:

This problem can be solved using the so called Lagrange Multipliers.

The local minima/maxima can thus be located.

For this problem we have two points:

Attached a plot showing a piece of feasible region with the two points. Both are local minima points.