6) Answer the following questions using the sensitivity report shown below: (20 min) a) Construct the objective function and calculate the optimal value of it. (4 marks) b) Report and interpret the reduced cost associated with variable "z". (S marks) c) Explain what constraints are binding and which one(s) are non-binding? (4 marks) Variable Cells d) Assuming the "wood" to be sunk Final Reduced Objective Allowable Allowable Cell Name Value cost what is the total price for an Cost Coefficient increase Decrease Type Ax 5 2 additional 25 units of wood? (3 Type By 0 2 marks) Type C z 6.5 9 1E+30 6 3 3 2 4 0 NO e) If the coefficient of x changes to 7 and the coefficient of y changes to 4 simultaneously, will the optimal solution remain unchanged? Explain (10 marks) Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price RH Side Increase Decrease Wood 1 32 1.5 32 20 10 Steel 2 40 2.5 40 1310 20 hours 3 15 0 38 15+30