How do you minimize and maximize f(x,y)=(x-y)/(x^2+y^2)f(x,y)=x−yx2+y2 constrained to 0<xy-y^2<50<xy−y2<5?
1 Answer
Dec 27, 2016
See below.
Explanation:
Local maxima/minima can be located using the Lagrange Multipliers technique. The attached figure shows the two stationary points with local maxima/minima, at the feasible region border. The arrows show the objective function gradient direction at those points.
