MHT CET 2026 18th April Evening Shift | Linear Programming Question 5 | Mathematics

In the following figure, the shaded region represents the system of constraints:
MHT CET 2026 17th April Evening Shift Mathematics - Linear Programming Question 7 English

MHT CET 2026 17th April Evening Shift Mathematics - Linear Programming Question 7 English

$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \geq 5, x \leq 0, y \geq 0$

$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \geq 5, x \geq 0, y \leq 0$

$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \leq 5, x \geq 0, y \geq 0$

$2x + y \leq 12, x + 2y \leq 12, x + 1.25y \geq 5, x \geq 0, y \geq 0$

MHT CET 2026 17th April Morning Shift

MCQ (Single Correct Answer)

-0

For the linear programming problem, $x + 2y \leq 10,\ 3x + y \leq 12,\ x, y \geq 0$, the maximum value of $z = 5x + 10y$ occurs at every point on the line segment joining the points..

$(0,0)$ and $(4,0)$

$(0,0)$ and $(0,5)$

$(4,0)$ and $\left(\dfrac{14}{5}, \dfrac{18}{5}\right)$

$(0,5)$ and $\left(\dfrac{14}{5}, \dfrac{18}{5}\right)$

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