2- This sensitivity report for the variable cells in some LP problem is given as follows. Final Value 9 Objective Coefficient 5 Reduced Cost 0 -2 -2 Allowable Increase 1E430 Cell $B$13 $C$13 $D$13 Name A B Allowable Decrease 1.25 1E+30 1E+30 0 6 2 0 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. > 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 pjective 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)