Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective function.

constraints
⎧
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎩
x
≥
0
y
≥
0
y
≤
1
3
x
+
3
5
≥
x
+
y
Objective Function:
C
=
6
x
−
4
y