5) Answer the following questions using the sensitivity report shown below (10 min) 15 marks a) Report the optimal solution and the objective function. what is the range of optimality for coefficient of y? (6 marks) b) Calculate the amount of slack or surplus for each constraint and comment on whether it is slack or surplus (4 marks) Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease Type Ax 9 0 3 6 2 Type By 3 0 5 3 4 Type Cz 0 -6.5 2 6.5 1E+30 c) Assuming Wood cost to be sunk, how much should the company pay for additional 25 units of wood? (5 marks) Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease Wood 1 25 1 25 20 10 Steel 2 30 0 40 1E+30 30 hours 3 55 -1.5 65 72 35