5) Answer the following questions using the sensitivity report shown below (12 min) a) Report the optimal solution and the optimal value of the objective function. (4 marks) b) what is the range of optimality for coefficient of y? (2 marks) Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient increase Decrease Type Ax 6 0 3 6 Type By 0 -4.5 6 20 9 Type Cz 0 10 c) Calculate the optimal value of the objective function if coefficient of y changes to 2 (4 marks) M 1000 8 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 30 40 1E-30 35 hours 3 50 55 1.5 d) How much will the objective function increase/decrease if we increase the available units of "Wood" to 38 units? (5 marks) N 72