Question: The above question is Exercise 1, please answer Exercise 2 below. 1. Consider the linear programming problem Maximizez=x1+2x2+x3+x4subjectto2x1+x2+3x3+x42x1+3x2+4x43x1+x2+2x3xj01j4.81218 After adding slack variables x5,x6, and x7

The above question is Exercise 1, please answer Exercise 2 below. 1. Consider the linear programming problem Maximizez=x1+2x2+x3+x4subjectto2x1+x2+3x3+x42x1+3x2+4x43x1+x2+2x3xj01j4.81218 After adding slack variables x5,x6, and

The above question is Exercise 1, please answer Exercise 2 below.

x7 and solving by the simplex method, we obtain the final tableau

1. Consider the linear programming problem Maximizez=x1+2x2+x3+x4subjectto2x1+x2+3x3+x42x1+3x2+4x43x1+x2+2x3xj01j4.81218 After adding slack variables x5,x6, and x7 and solving by the simplex method, we obtain the final tableau shown below. (a) For each of the cost coefficients cj,1j4, find the range of values for cj for which the above solution remains optimal. (b) For each of the resources bi,1i3, find the range of values for bi for which the above solution remains feasible. 2. What will be an optimal solution to the problem in Exercise 1 (a) if c1 is changed to 3 ? (b) if b2 is changed to 26 ? (c) if c3 is changed to 21 ? (d) if b3 is changed to 127

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