6) Answer the following questions using the sensitivity report shown below: (20 min) 8 a) Construct the objective function. what is the range of optimality for coefficient of z? (4 marks) b) Report and interpret the reduced cost associated with variable "z" and explain what constraints are binding and which one(s) are non-binding? (7 marks) Variable Cells c) Report and interpret the feasibility Final Reduced Objective Allowable Allowable range for the constraint "Steel". (5 Cell Name Value Decrease Type AX marks) Type By Type Cz 1E430 d) If the coefficient of x changes to 6 Constraints and the coefficient of y changes to 4 Final Shadow Constraint Allowable Allowable simultaneously, will the optimal Cell Name Value R.H. Side Increase Decrease solution remain unchanged? Explain Wood 32 1.5 32 20 10 Steel 2.5 110 (10 marks) hours 1E430 Cost Coefficient increase 0 7 3 0 3 4 -6.5 8 2 2 4 0 Price 1 2 3 40 40 30 Act 25 15 0 38