Question: please answer fast....i will give helpful rating Consider the following constrained optimization problem: max z=x +2x/y+y s.t. x+y=200 a. Find the point (x,y,z) and the

please answer fast....i will give helpful rating

Consider the following constrained optimization problem: max z=x +2x/y"+y s.t. x+y=200 a. Find the point (x,y,z) and the value of the Lagrange multiplier that solves this problem. b. Write down and solve the dual problem. Show that you get the same optimal values of x and y and that the Lagrange multipliers are reciprocals of one another

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