6) Answer the following questions using the sensitivity report shown below (20 min) a) Report the optimal solution and the objective function, what is the range of optimality for coefficient of z? 17 marks) b) Report the amounts of availabilities for each of the constraints. (3 marks) c) Report the range of feasibility associated with each constraint and determine what constraints are binding and which one(s) are non-binding. (6 marks) Variable Cells Final Reduced Objective Allowable Allowable c) Will the optimal solution remain Cell Name Value Coefficient increase Decrease optimal if the coefficient of Type A 0 3 changes to 7? Explain (3 marks) Type By 0 Type C2 2 6.5 1E+30 d) If the coefficient of x changes to 5 Constraints and the coefficient of y changes to 4 Final Shadow Constraint Allowable Allowable R.H. Side Cell Name Value simultaneously, will the optimal Increase Decrease Wood 20 0.76 20 15 10 solution remain optimal? Explain (7 Steel 35 1.15 35 hours 3 45 0 70 1E+30 55 Cost 3 5 1 5 8 5 0 2 -4.5 Price 1 2 80 20 marks)