Question: Consider the multiobjective optimization model max x1 max -3x1 + x2 s.t. -x1 + x2 4 x1 8 x1, x2 0 (a)

Consider the multiobjective optimization model max x1 max -3x1 + x2 s.t. -x1 + x2 … 4 x1 … 8 x1, x2 Ú 0

(a) Compute graphically a solution that is optimal if only the first objective is considered.

(b) Compute graphically a solution that is optimal if only the second objective is considered.

(c) Discuss the conflict inherent in trying to maximize both objectives at once.

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