The solution set of the constraints x + 2y ge | vedclass

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(C) To find which point lies in the solution set,we test each point against all given constraints:$1$. For $(2, 3)$: $x + 2y = 2 + 2(3) = 8$. Since $8

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$(3, 4)$

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(C) To find which point lies in the solution set,we test each point against all given constraints:$1$. For $(2, 3)$: $x + 2y = 2 + 2(3) = 8$. Since $8 \geq 11$ is false,$(2, 3)$ is not in the solution set.$2$. For $(3, 2)$: $x + 2y = 3 + 2(2) = 7$. Since $7 \geq 11$ is false,$(3, 2)$ is not in the solution set.$3$. For $(3, 4)$: $x + 2y = 3 + 2(4) = 11$. Since $11 \geq 11$ is true.$3x + 4y = 3(3) + 4(4) = 9 + 16 = 25$. Since $25 \leq 30$ is true.$2x + 5y = 2(3) + 5(4) = 6 + 20 = 26$. Since $26 \leq 30$ is true.Since all constraints are satisfied,$(3, 4)$ is in the solution set.$4$. For $(4, 3)$: $x + 2y = 4 + 2(3) = 10$. Since $10 \geq 11$ is false,$(4, 3)$ is not in the solution set.

The solution set of the constraints $x + 2y \geq 11$,$3x + 4y \leq 30$,$2x + 5y \leq 30$,$x \geq 0$,$y \geq 0$ includes the point:

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