Can someone help me cut this brown area, so it is only inside the dashed lines?

Code: Select all
\documentclass{memoir}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[style=help lines] (-0.5,-0.2) grid (8,6.5);
\centering
\clip(-0.5,-0.2) rectangle (8,6.5);
\draw[black,very thick,-latex] (-0.2,0) -- (7,0) node[right] {$x_1$};
\draw[black,very thick,-latex] (0,-0.2) -- (0,6) node[left] {$x_2$};
%Line :
\draw [dashed,thin] plot [smooth, tension=1] coordinates {(0.2,5) (3.15,5.5) (6.5,5)};
\draw [dashed,thin] plot [smooth, tension=1] coordinates {(5.7,5.7) (5.5,3) (4.5,0.1)};
\draw [dashed,thin] plot [smooth, tension=1] coordinates {(-0.2,3) (2.65,1.1) (5.5,0.4)};
\draw [dashdotted,thin] plot [smooth, tension=1] coordinates {(0.5,0) (0.5,6.2)};
\draw [dashdotted,thin] plot [smooth, tension=1] coordinates {(0,1) (8,1)};
\fill[color=brown, opacity=0.3] (0.5,1) rectangle (6,6) ;
%Text :
\draw[black,ultra thin] (0.5,4) -- (2,6) node[above] {Side constraint};
\draw[black,ultra thin] (5.3,2) -- (5.8,1.5) node[right,text width=2cm] {Behaviour constraint};
\draw[black, ultra thin] (3,3.75) -- (3,3.75) node[below] {Feasible region};
\end{tikzpicture}
\end{document}