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4.4 . The following questions below apply to the linear program minimize z = ?? 101 x 1 + 87 x 2

4.4. The following questions below apply to the linear programminimize z = â??101x1 + 87x2 + 23x3subject to 6x1 â?? 13x2 â?? 3x3 <= 116x1 + 11x2 + 2x3 <= 45x1 + 5x2 + x3 <= 12x1, x2, x3 >= 0with optimal basic solutionbasic x1 x2 x3 x3 x4 x5 rhsâ??z 0 0 0 12 4 5 372x1 1 0 0 1 â??2 7 5x2 0 1 0 â??4 9 â??30 1x3 0 0 1 19 â??43 144 2All of the questions are independent.(i) What is the solution of the linear program obtained by decreasing the right-handside of the second constraint by 15?(ii) By how much can the right-hand side of the second constraint increase anddecrease without changing the optimal basis?

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