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 c) Assuming Wood cost to be Decrease Type Ax 3 2 sunk, how much should the Type By 5 4 company pay for additional 25 Type C2 0 -6.5 2 6.5 units of wood? (5 marks) Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Decrease Wood 1 20 Steel 2 1E+30 hours 9 0 0 6 3 3 1E+30 Increase 25 30 55 1 0 -1.5 25 40 65 10 30 35 3 72