Question: 6. Consider an LP in which the variable Xk is unrestricted in sign. Prove that by substituting xk = x; - xt, where x; and

6. Consider an LP in which the variable Xk is unrestricted in sign. Prove that by substituting xk = x; - xt, where x; and xt are nonnegative, it is impossible that the two variables will replace one another in an alternative optimum solution.

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