If x+y leq 2, x geq 0, y geq 0,the point at w | vedclass

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(D) The given constraints are $x+y \leq 2$,$x \geq 0$,and $y \geq 0$. These constraints define a feasible region in the first quadrant with corner poi

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$(2,0)$

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(D) The given constraints are $x+y \leq 2$,$x \geq 0$,and $y \geq 0$. These constraints define a feasible region in the first quadrant with corner points $(0,0)$,$(2,0)$,and $(0,2)$. We evaluate the objective function $Z = 3x+2y$ at these corner points: $1$. At $(0,0)$: $Z = 3(0) + 2(0) = 0$. $2$. At $(2,0)$: $Z = 3(2) + 2(0) = 6$. $3$. At $(0,2)$: $Z = 3(0) + 2(2) = 4$. Comparing these values,the maximum value is $6$,which occurs at the point $(2,0)$.

If $x+y \leq 2, x \geq 0, y \geq 0$,the point at which the maximum value of $3x+2y$ is attained will be:

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