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Q5 Use the Lagrange-multiplier method to optimize the following functions subject to the given constraint, and estimate the effect on the value of the objective

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Q5 Use the Lagrange-multiplier method to optimize the following functions subject to the given constraint, and estimate the effect on the value of the objective function from a 1 -unit change in the constant of the constraint. (a) z=4x22xy+6y2, subject to x+y=72 (b) f(x,y)=26x3x2+5xy6y2+12y, subject to 3x+y=170

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