the following questions using the sensitivity report of a profit function shown below: a) Report the optimal solution and the optimal value of the objective function. b) Calculate the amounts of slack/surplus and comment on what constraints are binding and which ones are non-binding c) How much improvement in the objective function will we get if we increase the amount of Aluminum by 8 more units? d) Is it possible to calculate the optimal value of the objective function (according to this sensitivity report) if the coefficient of x changes to 8 and the coefficient of y changes to 7 simultaneously? If it is possible, calculate the optimal value. Show all of the calculations Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease Product A x 4 0 6 3 4 Product B y 5 0 5 5 3 Product C z 0 -4.5 3 3.5 1E+30 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease Plywood 1 35 1.2 35 20 6 Aluminum 2 30 0 40 15 10 Labour hours 3 18 3.0 18 10 5