Consider the following problem.

Maximize Z 3x1  4x2  8x3, subject to 2x1  3x2  5x3 9 x1  2x2  3x3 5 and x1  0, x2  0, x3  0.

Let x4 and x5 denote the slack variables for the respective functional constraints. After we apply the simplex method, the final simplex tableau is While doing postoptimality analysis, you learn that some of the parameter values used in the original model just given are just rough estimates, where the range of likely values in each case is within

50 percent of the value used here. For each of these following parameters, perform sensitivity analysis to determine whether this uncertainty might affect either the feasibility or the optimality of the above basic solution. Specifically, for each parameter, determine the allowable range of values for which the current basic solution (perhaps with new values for the basic variables) will remain both feasible and optimal. Then, for each parameter and its range of likely values, indicate which part of this range lies within the allowable range and which parts correspond to values for which the current basic solution will no longer be both feasible and optimal.

(a) Parameter b2

(b) Parameter c2

(c) Parameter a22

(d) Parameter c3

(e) Parameter a12

(f) Parameter b1