Objective Function: Find vertices of feasible solutions

[JimMath]

An objective function is to be maximized given the following constraints:
x+y is less than or equal to 5
x+2y is less than or equal to 6
x is greater than 0
y is greater than 0

Find the vertices of the set of feasible solutions.

 

[Deleted member 4993]

On a graph paper plot these lines and shade the area where the statements are true,

You will find the vertices as the points of intersections of those lines.