Question: The optimal solution is x*=(0, 0, 3, 6), with an optimal value of the objective function of 31.5. The sensitivity report from the solution of

 The optimal solution is x*=(0, 0, 3, 6), with an optimal

The optimal solution is x*=(0, 0, 3, 6), with an optimal value of the objective function of 31.5. The sensitivity report from the solution of this model reads as shown below. In view of this report, answer the following questions: Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $C$16 Variables x1 0 3.458333333 5 1E+30 3.458333333 $D$16 Variables x2 O 5.25 4 1E+30 5.25 $E$16 Variables x3 3 0 2.5 5.5 2.5 $F$16 Variables x4 0 4 10.375 2.75 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $C$20 Constraint 1 LHS 6 0 40 1E+30 34 $C$21 Constraint 2 LHS 21 O 35 1E+30 14 $C$22 Constraint 3 LHS -6 0 54 1E+30 60 $C$23 Constraint 4 LHS 18 0.916666667 18 9.333333333 18 $C$24 Constraint 5 LHS 24 0.625 24 68 12 8) If the lower bound of constraint 5 is reduced from 24 to 14, what will be the value of the objective function? a) We do not know b) 32.125 c) 37.75 d) 25.25 e) 30.875 f) We do know, but it won't be any of the numerical options given above

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