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Convert the following LP into its dual form:min 3x1 − x2 + x3s.t.x1 − 2x2 − x3 ≤ 42x1 − x2 + x3 = 8x1 − x2 ≤ 6x1 ≥ 0; x2, x3 free

Question

Convert the following LP into its dual form:min 3x1 − x2 + x3s.t.x1 − 2x2 − x3 ≤ 42x1 − x2 + x3 = 8x1 − x2 ≤ 6x1 ≥ 0; x2, x3 free
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Solution 1

The dual of a linear programming problem is another linear programming problem. The dual of the given primal problem can be formulated as follows:

The primal problem is:

minimize Z = 3x1 - x2 + x3 subject to: x1 - 2x2 - x3 ≤ 4 2x1 - x2 + x3 = 8 x1 - x2 ≤ 6 x1 ≥ 0; x2, x3 are free

The dual problem Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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