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Consider the following linear programming problem and solve using dual simplex method. minimize 1 6 0 x 1 + 4 0 0 x 2 +

Consider the following linear programming problem and solve using dual simplex method.

minimize

160 x_{1} + 400 x_{2} + 300 x_{3}

subject

t o 3 x_{1} + 6 x_{2} + 6 x_{3} 36,

4 x_{1} + 6 x_{2} + 3 x_{3} 20,

2 x_{1} + 8 x_{2} + 4 x_{3} 30,

x_{1}, x_{2}, x_{3} 0 .

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