X re 1) Answer the following questions using the sensitivity report shown below: a) Report the optimal solution and the optimal value of the objective function. (2 marks) b) Report and interpret the reduced cost associated with variable "z". (2 marks) c) How much improvement in the objective function will we get if we increase the amount of Steel by 40 more units? (2 marks) d) If the coefficient of x changes to 8 and the coefficient of y changes to 7 simultaneously, will the optimal solution remain unchanged? Explain (2 marks) Variable Cells Allowable Final Reduced Objective Allowable Decrease Cell Name Value Cost Coefficient Increase Type 2 A 7 0 9 3 Type 3 5 B V 4 Type 1E+30 C -3.5 5 3.5 Constraints Allowable Final Shadow Constraint Allowable Decrease Cell Name Value Price R.H. Side Increase 10 Wood 32 1.5 32 20 30 Steel 2 40 2.5 30 45 25 hours 3 15 38 1E+30 100% M 12