Graph the feasible region for the given system of inequalities. x + 3y ≤ 12 3x + y ≤ 12 x 20 y 20 ... Use the graphing tool on the right to graph the system of inequalities. Click to enlarge graph 10 8. -6. 10 8- 6 2- -2 Ay -6 --8- 10 10

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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**Graphing the Feasible Region for a System of Inequalities**

Given the following system of inequalities, graph the feasible region:

- \( x + 3y \leq 12 \)
- \( 3x + y \leq 12 \)
- \( x \geq 0 \)
- \( y \geq 0 \)

Use the graphing tool on the right to graph the system of inequalities.

**Graph Description:**

- The graph is a standard Cartesian coordinate plane with x and y axes.
- The x-axis and y-axis are labeled, with the x-axis extending from -10 to 10 and the y-axis extending from -10 to 10.
- The origin (0,0) is clearly marked, and the grid lines are present to assist with plotting.
Transcribed Image Text:**Graphing the Feasible Region for a System of Inequalities** Given the following system of inequalities, graph the feasible region: - \( x + 3y \leq 12 \) - \( 3x + y \leq 12 \) - \( x \geq 0 \) - \( y \geq 0 \) Use the graphing tool on the right to graph the system of inequalities. **Graph Description:** - The graph is a standard Cartesian coordinate plane with x and y axes. - The x-axis and y-axis are labeled, with the x-axis extending from -10 to 10 and the y-axis extending from -10 to 10. - The origin (0,0) is clearly marked, and the grid lines are present to assist with plotting.
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