Question: Question 2 Question 2 (23 marks) The sensitivity report of a particular linear programming problem (profit maximization) is given as follows: Adjustable cells Final Reduced

Question 2

Question 2 (23 marks) The sensitivity report of a particular linear programming problem (profit maximization) is given as follows: Adjustable cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SC$13 Paint A 3 3 SD$13 Paint B 1.5 0.6666667 Constraints Cell Name Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease SE$7 Raw Material X 24 0.75 24 12 SES8 Raw Material Y 6 0.5 0.6666667 SES9 Demand S -1.5 1E+30 2.5 SE$10 Demand T 1.5 O O 1E+30 0.5 a Regarding the linear programming problem, what is the optimal solution? (6 marks) b Suppose that the right-hand-side value of 'Raw Material X' changes to 32, what can be said about the effect on the total profit? (7 marks) c Suppose that the unit profit of 'Paint A' and "Paint B' both decrease by 0.6, would the optimal solution change? If not, what is the revised optimal profit that can be earned? (10 marks)

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