Question: Consider the linear program maximize c1 + C%+...+ C subject to a11 + 922+...+ ainIn ai b1+b2+...+binn = Bi ie [r] where r and

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Consider the linear program maximize c1 + C%+...+ C subject to a11 + 922+...+ ainIn ai b1+b2+...+binn = Bi ie [r] where r and s are positive integers. Further, consider the inequality obtained as follows: i=1 r (1 +9;27+...+ ainn ai) + di (b12 + b22 + ... +binn = Bi) i=1 where % R0 for all i [s] and d; R for all i [r]. Explain why adding this inequality to the linear program does not change the feasible region of the linear program.

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The given linear program is maximize c1x1 c2x2 cnxn subject to ai1x1 ai2x2 ainxn i for i in s bi1x1 bi2x2 binxn i for i in r where r and s are positiv... View full answer

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