Graph the feasible region for the given system of inequalities. x + 3y ≤ 12 3x + y ≤ 12 x ≥ 0 y 20 ... Use the graphing tool on the right to graph the system of inequalities. Click to enlarge graph -10 -4 104 18- 4- 2 10 Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Graph the feasible region for the given system of inequalities.
x + 3y ≤ 12
3x + y ≤ 12
x ≥ 0
y ≥ 0
Use the graphing tool on the right to graph the system of inequalities.
Click to
enlarge
graph
C
-10
-2
10-
8
Ay
6-
4
2-
-4-
--6-
--8-
-10-
X
10
Transcribed Image Text:Graph the feasible region for the given system of inequalities. x + 3y ≤ 12 3x + y ≤ 12 x ≥ 0 y ≥ 0 Use the graphing tool on the right to graph the system of inequalities. Click to enlarge graph C -10 -2 10- 8 Ay 6- 4 2- -4- --6- --8- -10- X 10
Expert Solution
Step 1

The given system of inequalities is ,

               x+3y  123x+y 12         x0          y0    

(.)  Feasible region always lies in first quadrant .

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