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Maximize f 2x 9y subject to the following constraints x y 7 2x 2y 12...

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Maximize f 2x 9y subject to the following constraints x y 7 2x 2y 12 x 3y 15 x and y are non negative a Identify the constraints that are binding and the ones that are not binding b Identify if any constraint is redundant i e is not needed to delineate the feasibility region c Find the range of optimality of both of the objective function coefficients d Find the shadow prices of each of the constraints e Compute the amount by which the objective function changes if the right hand side of one of the constraints increases by 8

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