Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region.

$$\begin{array}{l} x + y \leq 3 \cr 3 x + y \geq 4 \cr x + 4 y \leq 5 \cr x \geq 0 \cr y \geq 0 \cr \end{array}$$
The shape of the feasible region: ? Triangle Quadrilateral Unbounded

List the vertices (as a list of points such as "(2,3), (5,7), (0,0)"):