Question: 6. Consider the following linear program: max X1 X2 s.t. 3 x1 + x2 1 a. Write the Lagrangian relaxation obtained by relaxing the second

6. Consider the following linear program: max X1

6. Consider the following linear program: max X1 X2 s.t. 3 x1 + x2 1 a. Write the Lagrangian relaxation obtained by relaxing the second constraint. b. Find a value of the Lagrange multiplier so that the relaxation has an optimum solution that is also an optimum solution of the original program. C. Give an optimum solution to the relaxed program that is infeasible for the original program or show that no such optimum solution exists. Use the multiplier that you found in the previous

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