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Consider the following LPP: Minimize z = -3x 1 + x 2 + x 3 Subject to: x 1 - 2x 2 + x 3

Consider the following LPP: Minimize z = -3x₁+ x₂+ x₃

Subject to:

x₁- 2x₂+ x₃ <= 11

-4x₁+ x₂+2x₃ >= 3

2x₁- x₃= -1

x₁, x₂, x₃ >= 0.

(a) Write down the dual problem.

(b) Solve the primal problem and find the optimum solution.

(c) Write the solution of the dual problem from the primal optimal table.

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