Question: Solve the following optimization problem min {x,y} {x 3y xy} s.t. x + y = 6. (a) by substituting the constraint into the objective function.

Solve the following optimization problem min {x,y} {x 3y xy} s.t. x + y = 6. (a) by substituting the constraint into the objective function. (b) by using Lagrange method. In this case, classify the critical points by using the bordered Hessian

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