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Use the dual simplex method to solve the following LP: maxz = - 2 x 1 - x 3 s . t . x 1

Use the dual simplex method to solve the following LP:

maxz

= - 2 x_{1} - x_{3}

s . t . x_{1} + x_{2} - x_{3} 5

x_{1} - 2 x_{2} + 4 x_{3} 8

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

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