SOLUTION: Consider the feasible region in the xy-plane defined by the following linear inequalities. x ≥ 0 y ≥ 0 x ≤ 12 x + y ≥ 4 -x + 2y ≤ 14 1. Find the coordinates of th

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Question 1152458: Consider the feasible region in the xy-plane defined by the following linear inequalities.
x ≥ 0
y ≥ 0
x ≤ 12
x + y ≥ 4
-x + 2y ≤ 14
1. Find the coordinates of the vertices of the feasible region. Clearly show how each vertex is
determined and which lines form the vertex.
Answer by MathLover1(20850) (Show Source):
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intersection of these two lines:

=>=>
first vertices: at (,)

intersection of these two lines:

=>=>
second vertices: at (,)

intersection of these two lines:

=>=>=>=>
third vertices: at (,)

intersection of these two lines:

=>=> =>
fourth vertices: at (,)

intersection of these two lines:

=>
fifth vertices: at (,)

sketch: