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If the first constraint in the primal is changed to -y1 y2

Question: Consider the LP problem

(a) Write down the dual problem and solve it.

(b) Find the solution to the primal problem.

(c) If the first constraint in the primal is changed to -y₁ +y₂ -2y₃ -4y₄ ≥ k, for what values of k will the solution of the dual occur at the same point as for k = -1?

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Mathematics: If the first constraint in the primal is changed to -y1 y2

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