10. The system of inequalities $\left\{ \begin{array} { l } x - 1 \geq 0 , \\ k x - y \leq 0 , \\ x + \sqrt { 3 } y - 3 \sqrt { 3 } \leq 0 \end{array} \right.$ represents a planar region that is an equilateral triangle. The minimum value of $z = x + 3 y$ is\\
A. $2 + 3 \sqrt { 3 }$ \quad B. $1 + 3 \sqrt { 3 }$ \quad C. $2 + \sqrt { 3 }$ \quad D. $1 + \sqrt { 3 }$\\