2- This sensitivity report for the variable cells in some LP problem is given as follows. Final Value Cell $B$13 $C$13 $D$13 Name B 9 0 0 Reduced Cost 0 -2 -2 Objective Coefficient 5 6 1 Allowable Increase 1E+30 2 2 Allowable Decrease 1.25 1E+30 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 (.e., from 6 to 4)? 2- This sensitivity report for the variable cells in some LP problem is given as follows. Final Value Cell $B$13 $C$13 $D$13 Name B 9 0 0 Reduced Cost 0 -2 -2 Objective Coefficient 5 6 1 Allowable Increase 1E+30 2 2 Allowable Decrease 1.25 1E+30 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 (.e., from 6 to 4)