The area on the graph that is not shaded is the region of feasibility. The shape is a triangle and the vertices of the feasible region are: (5,1.5), (.75,.75), (1.5,.5)
The system of inequalities below, We need to determine the shape of the feasible region and find the vertices of the feasible region
x+y<=2
3x+y>=3
x+3y>=3
x>=0
y>=0
Now, we would graph with the following inequalities
x+y>=2
3x+y<=3
x+3y<=3
x<=0
y<=0
Therefore, the area on the graph that is not shaded is the region of feasibility and the shape is a triangle, the vertices of the feasible region are: (5,1.5) (0.75, 0.75), (1.5,.5).
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