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Consider the optimization problem of the objective function f(x, y) = 3x 2 ? 4y 2...

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Advance Math

Consider the optimization problem of the objective function f(x,y) = 3x 2 ? 4y 2 + xy ? 5 subject to x ? 2y + 7 = 0. 1. Write downthe Lagrangian function and the first-order conditions. 1 mark 2.Determine the stationary point. 2 marks 3. Does the stationarypoint represent a maximum or a minimum? Justify your answer.

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