# Multiobjective optimization with matlab

 0 I have pretty simple linear optimization problem with two objective functions \begin{align} \text{maximize}\, (f_1 &= 4x_1+5 x_2\,,\,f_2 = 1x_1 ) \\ \text{subject to}& \\ 1x_1 + 1x_2 &\leq 200 \\ 1.25x_1 + 0.75x_2 &\leq 200 \\ 1x_2 &\leq 150 \\ x_1,x_2 &\geq 0 \end{align} I'm trying to find optimal points to this problem with goal method (matlab) and with normalized objective function, where $$f^*(x) = (950,160)$$ are the optimal solutions (Utopia point?) to my objective functions. $f(x)=\sum_{i=1}^2 (f_i^{*}(x)-f_i (x))/f_i^{*}(x)$ I don't know how to translate this problem into matlab. Any help? asked 09 Jan '16, 09:19 ORnoob 11●2 accept rate: 0% fbahr ♦ 4.6k●7●17
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