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Solve the following optimization problem minx + x + 2y + 10y I,y subjecting to the constraint 3x + y = 5 1. List the

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Solve the following optimization problem minx + x + 2y + 10y I,y subjecting to the constraint 3x + y = 5 1. List the first order optimality condition with the Lagrangian multiplier. (10 pts) 2. Solve the optimization problem and list the value of a and y. (10 pts)

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