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GATE2017 ME-2: 51

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Maximise $Z=5x_{1}+3x_{2}$

subject to

$\begin{array}{}  x_{1}+2x_{2} \leq 10, \\  x_{1}-x_{2} \leq 8, \\  x_{1}, x_{2} \geq 0 \end{array}$

In the starting Simplex tableau, $x_{1}$ and $x_{2}$ are non-basic variables and the value of $Z$ is zero. The value of $Z$ in the next Simplex tableau is _______.

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