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1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The shaded area in the figure below is the solution set for a certain linear programming problem, then the linear constraints are given by

MHT CET 2024 3rd May Morning Shift Mathematics - Linear Programming Question 14 English

A
$x \geqslant 1, y \leqslant 3, x-2 y \geqslant 2,6 x+7 y \leqslant 42, x \geqslant 0, y \geqslant 0$
B
$x \geqslant 1, y \leqslant 3, x-2 y \geqslant 2,6 x+7 y \geqslant 42, x \geqslant 0, y \geqslant 0$
C
$x \leqslant 1, y \geqslant 3, x-2 y \leqslant 2,6 x+7 y \leqslant 42, x \geqslant 0, y \geqslant 0$
D
$x \geqslant 1, y \leqslant 3, x-2 y \leqslant 2,6 x+7 y \leqslant 42, x \geqslant 0, y \geqslant 0$
2
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The shaded region in the following figure is the solution set of the inequations

MHT CET 2024 2nd May Evening Shift Mathematics - Linear Programming Question 15 English

A
$x+2 y \geq 50,2 x+y \leq 100,2 x-y \leq 0$, $x, y \geq 0$
B
$x+2 y \leq 50,2 x+y \leq 100,2 x-y \leq 0$, $x, y \geq 0$
C
$x+2 y \geq 50,2 x+y \geq 100,2 x-y \leq 0$, $x, y \geq 0$
D
$x+2 y \leq 50,2 x+y \geq 100,2 x-y \leq 0$, $x, y \geq 0$
3
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The point, at which the maximum value of $10 x+6 y$ subject to the constraints $x+y \leq 12$, $2 x+y \leq 20, x \geq 0, y \geq 0$ occurs, is

A
$(10,0)$
B
$(8,4)$
C
$(0,12)$
D
$(12,0)$
4
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The shaded region in the following figure represents the solution set for a certain linear programming problem. Then linear constraints for this region are given by

MHT CET 2023 14th May Evening Shift Mathematics - Linear Programming Question 32 English

A
$$2 x+3 y \geq 6,-x+2 y \geq 2,3 x+6 y \leq 18, x-3 y \geq 3, x \geq 0, y \geq 0$$
B
$$2 x+3 y \geq 6,-x+2 y \leq 2, x-3 y \leq 3 x +2 y \geq 18, x \geq 0, y \geq 0$$
C
$$2 x+3 y \leq 6,-x+2 y \geq 2,3 x+6 y \leq 18 x-3 y \leq 3, x \geq 0, y \geq 0$$
D
$$2 x+3 y \geq 6,3 x+6 y \leq 18, x-3 y \leq 3 -x+2 y \leq 2, x \geq 0, y \geq 0$$
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