Problem Set 4Due Nov 7 in class1 Find ALL the stationary points for each function:(i) f(x) = x3− 12x(ii) f(x, y) = x2− 2xy + y3− y2 Find ALL the local extremum points for each function, and specify whetherit is local maximum or minimum point:(i) f(x) = x3− 3x(ii) f(x1, x2) = x21+ x32+ 2x1x23 Solve the maximization problem:maxx1,x2−x21+ x2− 3x22s.t. x1+ 2x2=
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