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Answered) Answer the questions below with respect to the following sensitivity report for a particular linear programming model in which profit is maximized :...


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Answer the questions below with respect to the following sensitivity report for a
particular linear programming model in which profit is maximized :
Adjustable cells
Cell Name Final Reduced Objective Allowable Allowable value cost coefficient increase decrease $B$10 Variable R 0 -0.11765 1 0.11765 1E+30 $C$10 Variable S 3.8235 0 2 3 0.4 $D$10 Variable T 0.2941 0 3 5 0.6667 Name Final Shadow Constraint Allowable Allowable value Price R.H. side increase decrease 0.5294 5 12.2222 1 0.2941 20 5 16.25 0 15 1E+30 6.4706 Constriants
Cell
$E$4 Constraint 5
A $E$5 Constraint 20
B $E$6 Constraint 8.5294
C a. What is the current optimal solution and the corresponding total profit ?
b. Suppose that the objective coefficient of variable T has decreased by 0.5. Will the
optimal solution change ? Explain briefly. What can be said about the effect on
the total profit ?
c. Suppose that the objective coefficient of variable S changes to 5.5. Will the
optimal solution change ? Explain briefly. What can be said about the effect on
the total profit ?
d. Suppose that the objective coefficient of variable S and variable T change to 2.2
and 2.8 respectively. Will the optimal solution change ?

 


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