Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle", "quadrilateral", or "unbounded". Report your vertices starting with the one which has the smallest x-value. If more than one vertex has the same, smallest x-value, start with the one that has the smallest y-value. Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank. The shape of the feasible region is. The first vertex is ( The second vertex is ( The third vertex is ( The fourth vertex is ( 1). x+y≤ 9 4x + y 2 17 10 x + 3y x ≥ 0 y>0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle",
"quadrilateral", or "unbounded". Report your vertices starting with the one which has the smallest x-value. If more than one vertex has the same, smallest x-value,
start with the one that has the smallest y-value.
Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank.
The shape of the feasible region is
The first vertex is
The second vertex is
The third vertex is
The fourth vertex is
x + y ≤ 9
4x + y ≥ 17
x + 3y ≤ 10
x ≥ 0
y ≥ 0
Transcribed Image Text:Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle", "quadrilateral", or "unbounded". Report your vertices starting with the one which has the smallest x-value. If more than one vertex has the same, smallest x-value, start with the one that has the smallest y-value. Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank. The shape of the feasible region is The first vertex is The second vertex is The third vertex is The fourth vertex is x + y ≤ 9 4x + y ≥ 17 x + 3y ≤ 10 x ≥ 0 y ≥ 0
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