The feasible region represented by the constr | vedclass

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(C) $1$. Plot the lines: $y = 2x + 4$, $x + y = 5$, $x = 4$, and $y = 2$.$2$. The region $y - 2x \leq 4$ is above the line $y = 2x + 4$.$3$. The regio

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a convex bounded region with $5$ corner points

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(C) $1$. Plot the lines: $y = 2x + 4$, $x + y = 5$, $x = 4$, and $y = 2$.$2$. The region $y - 2x \leq 4$ is above the line $y = 2x + 4$.$3$. The region $x + y \geq 5$ is above the line $x + y = 5$.$4$. The region $x \leq 4$ is to the left of the line $x = 4$.$5$. The region $y \geq 2$ is above the line $y = 2$.$6$. Intersection points are: $(0, 4)$, $(1, 6)$, $(4, 6)$, $(4, 2)$, and $(3, 2)$.$7$. Since all constraints form a closed polygon with $5$ vertices, the feasible region is a convex bounded region with $5$ corner points.

The feasible region represented by the constraints $y - 2x \leq 4$, $x + y \geq 5$, $x \leq 4$, $y \geq 2$, and $x, y \geq 0$ is

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