Session 12: Constrained Optimization; Equality Constraints and Lagrange Multipliers | Numerical Methods Applied to Chemical Engineering | Chemical Engineering | MIT OpenCourseWare

Assignment A6.3 (Another Optimization Problem (V)): Consider the unconstrained optimization problem(approx. 20 points)min f(x)=x^4 2(x1-x2)x 4x^2 ER2a) Calculate all stationary points of the mapping f and investigate whether the stationary points are local maximizers, local minimizers, or saddle points.b) Create a 3D or contour plot of the function using MATLAB or Python and decide whether the problem possesses a global solution or not.

Constrained Optimization: Intuition Behind the Lagrangian