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5) Answer the following questions using the sensitivity report shown below: (10 min) a) Report the optimal value of the objective function. what is the range of optimality for coefficient of y? (6 marks) b) Calculate the amount of slack/surplus associated with each constraint and determine what constraints are binding and which one(s) are non-binding? (5 marks) Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease c) How much profit is expected if Type A x 10 0 8 1 the coefficient of x changes to 8? Type By 5 0 2 5 Explain? (4 marks) Type C z 0 -2.5 8 1E+30 4.5 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease Wood 1 25 1 25 20 10 Steel 2 40 1.5 60 80 10 Jagjot Khangura hours 35 1E+30 55 W 0 70 hp5) Answer the following questions using the sensitivity report shown below: (1 + Jagjot Khangura d) If the coefficient of x changes to 3.5 and the coefficient of y changes to 6 simultaneously, will the optimal solution remain optimal? Explain (6 marks) Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease e) The manufacturer needs to buy an Type A x 10 0 w 8 additional 15 units of wood. Type By 5 o 00 UT 5 Type C z Considering wood to be a relevant 0 -2.5 1E+30 4.5 cost with the original price of $1 per Constraints unit, how much should the Final Shadow Constraint Allowable Allowable manufacturer pay for the additional Cell Name Value Price R.H. Side Increase Decrease 30 units? (4 marks) Wood 1 25 1 25 20 5 Steel 40 1.5 60 80 10 W N hours 35 0 70 1E+30 55 hp