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This sensitivity report for the variable cells in some LP problem is given as follows.

Cell Name	Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease
$B$13 A	9 0 5 1E+30 1.25
$C$13 B	0 -2 6 2 1E+30
$D$13 C	0 -2 1 2 1E+30

i) If optimization problem is maximization, write the objective function.

ii) What are the optimal solution and objective value?

iii) What happens if we force variable C to get value, change from 0 to 1? Please discuss your answer in terms of optimal objective function value.

iv) What happens to optimal solution if we change objective coefficient of variable B to 9? What if we decrease it by 2 units (i.e., from 6 to 4)?

2- This sensitivity report for the variable cells in some LP problem is given as follows. Final Value 9 Reduced Cost Name A B Objective Coefficient 5 Allowable Increase 1E+30 Cell $B$13 $C$13 $D$13 0 Allowable Decrease 1.25 1E+30 1E+30 0 -2 6 2 0 -2 1 2 i) If optimization problem is maximization, write the objective function. ii) What are the optimal solution and objective value? iii) What happens if we force variable C to get value, change from 0 to 1? Please discuss your answer in terms of optimal objective function value. iv) What happens to optimal solution if we change objective coefficient of variable B to 9? What if we decrease it by 2 units (i.e., from 6 to 4)