Question: By dynamic programming, solve the problem Minimize ( Z=x_{1}^{2}+2 x_{2}^{2}+4 x_{3} ) Subject to: [ begin{array}{c} x_{1}+2 x_{2}+x_{3} geq 8 x_{1}, x_{2}, x_{3} geq

$By dynamic programming, solve the problem Minimize \( Z=x_{1}^{2}+2 x_{2}^{2}+4 x_{3}$

By dynamic programming, solve the problem Minimize $ Z=x_{1}^{2}+2 x_{2}^{2}+4 x_{3} $ Subject to: \[ \begin{array}{c} x_{1}+2 x_{2}+x_{3} \geq 8 \\ x_{1}, x_{2}, x_{3} \geq 0 \end{array} \] $\) Subject to: \[ \begin{array}{c} x_{1}+2 x_{2}+x_{3} \geq 8 \\ x_{1}, x_{2},$

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