The feasible region represented by the constraints: x + 2y ≥ 100, 2x-…

The correct answer is Option (2) → Region C

The given constraints are:

$x + 2y \geq 100$ (above the line)

$2x - y \leq 0 \Rightarrow y \geq 2x$ (above the line)

$2x + y \leq 200$ (below the line)

$x \geq 0$, $y \geq 0$ (first quadrant)

To satisfy all these constraints simultaneously, we look for the region that:

• Is above the lines $x + 2y = 100$ and $y = 2x$
• Is below the line $2x + y = 200$
• Lies in the first quadrant

From the graph, only Region C satisfies all these conditions.