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.