Answer the following questions using the sensitivity report shown below. a) Report the optimal solution and the objective function. what is the range of optimality for coefficient of x? (4 marks) b) Report the range of feasibility associated with each constraint and Explain what constraints are binding and which one(s) are non-binding. (5 marks) c) Will the optimal solution remain optimal if the coefficient of x changes to 6? Explain (1 marks) d) If the coefficient of x changes to 5 and the coefficient of y changes to 3 simultaneously, will the optimal solution remain optimal? Explain (4 marks) Variable Cells Final Reduced. Objective Allowable Cell Value Cost Coefficient Increase Type A 10 0 3 8 Type B 5 0 Type C 0 -6.5 Constraints Final Shadow Cell Value Price Wood 15 1 Steel 30 1.5 15 0 hours Name X Y 2 Name 1 2 3 5 2 Constraint R.H. Side 15 30 70 2 6.5 Allowable Increase 20 110 1E+30 Allowable Decrease 1 5 1E+30 Allowable Decrease 10 30 55