Hello everybody!

I could really use some help here:

$\displaystyle a \in \mathbb{R}^n, \ e^T = (1,...,1) \in \mathbb{R}^n, \ x \in \mathbb{R}^n$

$\displaystyle b \in \mathbb{R} $

Solve the following optimization problem

$\displaystyle \max \ e^T x$, where $\displaystyle a^T x \le b \mbox{ and } x \ge 0$

I hope, someone knows how to do this.

Best wishes,

Rapha