Question: 2. By dynamic programming, solve the problem Minimize ( Z=4 x_{1}^{2}+2 x_{2}^{2}+x_{3}^{2} ) Subject to: [ begin{array}{c} 2 x_{1}+x_{2}+2 x_{3}=10 x_{1}, x_{2}, x_{3} geq

2. By dynamic programming, solve the problem Minimize \( Z=4 x_{1}^{2}+2 x_{2}^{2}+x_{3}^{2} \) Subject to: \[ \begin{array}{c} 2 x_{1}+x_{2}+2 x_{3}=10 \\ x_{1}, x_{2}, x_{3} \geq 0 \end{array} \]

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