Question: 6) Answer the following questions using the sensitivity report shown below: (20 min) a) Construct the objective function and calculate the optimal value of it.

6) Answer the following questions using the sensitivity report shown below: (20 min) a) Construct the objective function and calculate the optimal value of it. (4 marks) b) Report and interpret the reduced cost associated with variable "z". (5 marks) c) Explain what constraints are binding and which one(s) are non-binding? (4 marks) Variable Cells d) Assuming the "wood" to be sunk Final Reduced Objective Allowable Allowable cost, what is the total price for an Cell Name Value Cost Coefficient Increase Decrease Type Ax additional 25 units of wood? (3 Type By 3 2 4 marks) Type Cz -6.5 9 1E430 6 5 3 0 0 e) If the coefficient of x changes to 7 and the coefficient of y changes to 4 simultaneously, will the optimal solution remain unchanged? Explain (10 marks) Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease Wood 1 32 1.5 32 20 10 Steel 2 40 2.5 40 110 30 hours 3 15 0 1E+30 25 38

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