Given the system of constraints, name all vertices of the feasible region. then find the maximum value of the given objective function.
x> 0
y> 0
y< 1/3x+3
5> y+x
objective function: c = 6x _ 4y

Thank you for posting your question here at . I hope the answer will help you. Feel free to ask more questions here.
Below is the solution:

vertices: (0,3)(1.5, 3.5)(5,0) 
xy(0,3)= 0,3;6x – 4y= -12 
xy(1.5, 3.5)= 1.5,3.5;6x – 4y= -5 
xy(5,0)= 5,0;6x – 4y= 30 
maximum value = 30

What exactly is your question?