Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. 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