2- This sensitivity report for the variable cells in some LP problem is given as follows. Reduced Cost 0 Cell $B$13 SC$13 SD$13 Final Value 9 0 0 Name A B Objective Coefficient 5 6 1 Allowable Increase IE+30 2 2 Allowable Decrease 1.25 1E-30 1E-30 1) If optimization problem is maximization, write the objective function. ii) What are the optimal solution and objective value? ii) 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)