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Min 30A 50B +25C +40D S.T. 1) A+B 250,000 2) C+D 70,000 3) A +C 80,000 4) B +D 60,000 A, B, C, D 20

Min 30A 50B +25C +40D S.T. 1) A+B 250,000 2) C+D 70,000 3) A +C 80,000 4) B +D 60,000 A, B, C, D 20 Final Reduced Objective Allowable Allowable Cost Coefficient Increase Decrease 50000 0 TTTTT Variable Value A B 5 30000 0 D 40000 5 30 5 45 50 1E+30 25 15 5 40 15 Final Shadow Constraint Allowable Allowable Constraint Value Price R.H. Side Increase Decrease 1 50000 45 50000 20000 40000 2 70000 40 70000 20000 40000 3 80000 -15 80000 40000 20000 4 40000 0 60000 1E+30 20000 Dashboard Calendar To Do Notifications Inbox 4) Use the following computer output to answer the questions. a. What is the Optimal objective function value? b. What would happen to dual price values if the right-hand side of constraint I increased by 5000, right hand-side of constrain 2 decreased by 5000 and right-han side of constraint 3 increased by 10000 units simultaneously? What is the new optimal value? c. What would happen to optimal solution if the coefficient of B increased by 3? What is the new optimal value? d. You have a chance to do only a one unit change to the right hand side of one constra Which constraint you will pick and what will you do? What is the dual problem? Dashboard Calendar To Do Notifications Inbox Min S.T 30A 50B-25C-40D 1) A-B CRAS 50,000 C+D 70,000 80,000 3) A -C B -D 60,000 A,B,C,DEO Final Reduced Objective Allowable Allowable 50000 Cost Coefficient Increase Decrease 30 TTTT Variable Value A 45 B 50 30000 1E+30 15 D 40000 40 5 15 Final Shadow Constraint Allowable Allowable Constraint Value Price R.H. Side Increase Decrease 1 50000 45 50000 20000 40000 2 70000 40 70000 20000 40000 3 80000 -15 80000 40000 20000 4 40000 D 60000 1E+30 20000 Use the following computer output to answer the questions. What is the Optimal objective function value? What would happen to dual price values if the right-hand side of constraint 1 increased by 5000, right hand- side of constrain 2 decreased by 5000 and right-hand side of constraint 3 increased by 10000 units simultaneously? What is the new optimal value? C What would happen to optimal solution if the coefficient of B increased by 3? What is the new optimal value? You have a chance to do only a one unit change to the right hand side of one constraint Which constraint you will pick and what will you do? What is the dual

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