Question: please help to solve the q2 with details~ Question 2 (25 marks) The sensitivity analysis table for a particular LP problem (maximization) is given as

please help to solve the q2 with details~

Question 2 (25 marks) The sensitivity analysis table for a particular LP problem (maximization) is given as follows: Variable Final Reduced Objective Allowable Allowable Name value cost coefficient increase decrease Variable X 94 0 100 50 12.5 Variable Y 54 0 300 66.67 100 Variable Z 0 -20 50 20 1E+30 Constraints Final Shadow Constraint Allowable Allowable Name value price RH side increase decrease Constraint A 93000 0.17 93000 28200 32400 Constraint B 101 100 101 54 23.5 a What is the maximum profit according to the above sensitivity analysis table? (3 marks) b If the objective coefficient of Variable Z changes to 69, has the current optimal solution changed? Expiained briefly. (3 marks) c Suppose the objective coefficient of Variable X increases to 120 and Variable Y increases to 320. Has the current optimal solution changed? Explain briefly. (6 marks) d If the RH Side of Constraint A has changed from 93000 to 90000 and Constraint B has changed from 101 to 120, what would the profit be? (7 marks) e If the RH side of Constraint A has changed from 93000 to 110000 and Constraint B has changed from 101 to 150, what would the profit be? (6 marks)

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