The optimal value of the objective function is attained at the points
- Agiven by intersection of lines representing inequations with axes only
- Bgiven by intersection of lines representing inequations with $X$-axis only
- Cgiven by corner points of the feasible region
- Dat the origin
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The corner points of the feasible region determined by the system of linear constraints are $(2, 72)$,$(15, 20)$,and $(40, 15)$. Let $Z = 6x + 3y$ be the objective function. The minimum value of $Z$ occurs at:
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
DifficultMHT CET 2026
View SolutionThe maximum value of $Z=x+3y$ subject to the constraints $2x+y \leq 20$,$x+2y \leq 20$,$x \geq 0$,$y \geq 0$ is:
Medium
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