/sci/ - Science & Math

I found the optimal solution to be [math] x = [3 \hspace{2m} 2]^T [/math], but I don't know how to prove this by messing around with the constraints. I only found things like [math] x_1 \leq \frac{11}{3} [/math] and [math] x_2 \leq \frac{16}{7} [/math] by manipulating the inequalities. I don't think this tells me anything or "proves" that my [math] x [/math] is optimal. Can someone help a retard?