Question: The following questions below apply to the linear program minimize z = 101x1 + 87x2 + 23x3 subject to 6x1 13x2 3x3 11 6x1 +

The following questions below apply to the linear program minimize z = 101x1 + 87x2 + 23x3 subject to 6x1 13x2 3x3 11 6x1 + 11x2 + 2x3 45 x1 + 5x2 + x3 12 x1, x2, x3 0 with optimal basic solution basic x1 x2 x3 x3 x4 x5 rhs z 0 0 0 12 4 5 372 x1 100 1 27 5 x2 010 4 9 30 1 x3 0 0 1 19 43 144 2 All of the questions are independent. (i) What is the solution of the linear program obtained by decreasing the right-hand side of the second constraint by 15? (iii) What is the solution of the linear program obtained by increasing the coefficient of x1 in the objective by 25?

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