Minimize the objective function Z = 3x + 2y s | vedclass

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(D) The given constraints are:$1) x + y \geq 8$$2) x + y \leq 5$$3) x \geq 0, y \geq 0$Observe the first two inequalities: $x + y \geq 8$ and $x + y \

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Feasible region is not possible.

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(D) The given constraints are:$1) x + y \geq 8$$2) x + y \leq 5$$3) x \geq 0, y \geq 0$Observe the first two inequalities: $x + y \geq 8$ and $x + y \leq 5$. These two inequalities represent regions that do not overlap. If $x + y$ is greater than or equal to $8$,it cannot simultaneously be less than or equal to $5$. Therefore,there is no set of points $(x, y)$ that satisfies all the given constraints simultaneously. Since there is no common region,the feasible region is empty (null set). Thus,the objective function cannot be minimized as no feasible solution exists.

Minimize the objective function $Z = 3x + 2y$ subject to the constraints: $x + y \geq 8$,$x + y \leq 5$,$x \geq 0$,$y \geq 0$.

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