Linear Programming in LaTeX
To get you started...
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{equation}
\begin{aligned}
\text{maximize } \quad & c_1 x_1 + \dots + c_n x_n \\
\text{subject to }\quad &
\begin{array}{c}
a_{11} x_1 + \dots + a_{1n} x_n \leq b_1 \\
\vdots \\
a_{m1} x_1 + \dots + a_{mn} x_n \leq b_m
\end{array}
\end{aligned}
\end{equation}
\end{document}
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{equation*}
\begin{array}{lr@{}c@{}r@{}l}
\text{maximize } & c_1 x_1 & {}+{\dots}+{} & c_n x_n & \\
\text{subject to } & a_{11}x_1 & {}+{\dots}+{} & a_{1n}x_n & {}\le b_1 \\
& & \vdots & & \\
& a_{m1}x_1 & {}+{\dots}+{} & a_{mn}x_n & {}\le b_m
\end{array}
\end{equation*}
\end{document}