Question

If feasible region is as shown in the figure, then the related inequalities are}

• A. $3x+4y\ge12$, $y-x\ge0$, $y\le3$, $x, y\ge0$
• B. $3x+4y\le12$, $y-x\le0$, $y\ge3$, $x, y\ge0$
• C. $3x+4y\le12$, $y-x\ge0$, $y\le3$, $x, y\ge0$
• D. $3x+4y\ge12$, $y-x\le0$, $y\ge3$, $x, y\ge0$

Hint:

Logic Tip: You don't always need to derive the equations from scratch. Pick a point clearly inside the shaded region from the graph (like $(1.5, 2.5)$ or $(2,3)$) and plug it directly into the options. The correct option will satisfy ALL inequalities.

Answer 1

The Correct Option is A