Question: Minimize the function (using dynamic programming) [F=left(50 x_{1}-0.2 x_{1}^{2} ight)+left(50 x_{2}-0.2 x_{2}^{2} ight)+8left(x_{1}-80 ight)] subject to the constraints [begin{aligned}& x_{1} geq 75 & x_{1}+x_{2}=220 &

Minimize the function (using dynamic programming)

\[F=\left(50 x_{1}-0.2 x_{1}^{2}\right)+\left(50 x_{2}-0.2 x_{2}^{2}\right)+8\left(x_{1}-80\right)\]

subject to the constraints

\[\begin{aligned}& x_{1} \geq 75 \\& x_{1}+x_{2}=220 \\& x_{1}, x_{2} \geq 0\end{aligned}\]

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