\(\left\{{}\begin{matrix}P+N+E=10\\P=E\\P\le N\le1,5P\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2P+N=10\\P\le N\le1,5P\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}N=10-2P\\P\le10-2P\le1,5P\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}N=10-2P\\3P\le10\le3,5P\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}N=10-2P\\2,857\le P\le3,333\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}P=E=Z=3\\N=4\end{matrix}\right.\\ \Rightarrow A_X=Z_X+N_X=3+4=7\left(đ.v.C\right)\)