QUESTION 2 1 poi For the linear program maximize-5x7x2+ 14x3+5x4 subject to -6x1

Question

QUESTION 2 1 poi For the linear program maximize-5x7x2+ 14x3+5x4 subject to -6x1x 4x3 +5x4 s 0 6x15x26x3 8x4 S 11 x1-3x2 6x3 - 8x4 S 1 -3x1 +5x2+ 6x3 -3x4 13 x1.x2, x3, x4 2 0 and feasible solution x (1,2, 1, 0), which of the following statements is correct? ? There exists a unique dual solution y satisfying the complementary slackness conditions with x but y is not feasible for the dual linear program There exist infinitely many dual solutions satisfying the complementary slackness conditions withx There does not exist any dual solution satisfying the complementary slackness conditions with x. There exists a unique dual solution y satisfying the complementary slackness conditions with x, and y is feasible for the dual linear program.

Explanation / Answer

Here, option D is correct.

There exists a unique dual solution y satisfying the complementary slackness conditions with x*, and y is feasible for the dual linear program.

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