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30) x-4 y>2 3x • y <6 30) A) Bounded B) Unbounded C) Bounded D) Unbounded

30) x-4 y>2 3x • y <6 30) A) Bounded B) Unbounded C) Bounded D) Unbounded

Advanced Engineering Mathematics
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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The problem statement in the image is as follows: **Problem 30:** Given system of inequalities: - \( x \leq -4 \) - \( y \geq 2 \) - \( 3x + y < 6 \) The task is to determine whether the feasible region is bounded or unbounded. Below the problem statement, there are four graphs labeled A, B, C, and D showcasing different potential feasible regions with shading. **Graph Details:** - **Graph A: Bounded** - Displays a shaded region in the first quadrant, enclosed by lines and completely confined within a finite area. - **Graph B: Unbounded** - Shows a shaded region extending infinitely in some direction, indicating it is not confined to a particular area. - **Graph C: Bounded** - Similar to Graph A, it has enclosed shading showing a finite feasible region. - **Graph D: Unbounded** - Similar to Graph B, the shaded area extends infinitely, indicating an unbounded region. The objective is to correctly identify if the region defined by the given inequalities is bounded or unbounded based on the graph options provided.
Transcribed Image Text:The problem statement in the image is as follows: **Problem 30:** Given system of inequalities: - \( x \leq -4 \) - \( y \geq 2 \) - \( 3x + y < 6 \) The task is to determine whether the feasible region is bounded or unbounded. Below the problem statement, there are four graphs labeled A, B, C, and D showcasing different potential feasible regions with shading. **Graph Details:** - **Graph A: Bounded** - Displays a shaded region in the first quadrant, enclosed by lines and completely confined within a finite area. - **Graph B: Unbounded** - Shows a shaded region extending infinitely in some direction, indicating it is not confined to a particular area. - **Graph C: Bounded** - Similar to Graph A, it has enclosed shading showing a finite feasible region. - **Graph D: Unbounded** - Similar to Graph B, the shaded area extends infinitely, indicating an unbounded region. The objective is to correctly identify if the region defined by the given inequalities is bounded or unbounded based on the graph options provided.
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