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1
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

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

MHT CET 2024 4th May Morning Shift Mathematics - Linear Programming Question 14 English

A
$x+2 y \leq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x$, $y \geq 0$
B
$x+2 y \geq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x$, $y \geq 0$
C
$x+2 y \geq 6,5 x+3 y \leq 15, x \geq 7, y \leq 6, x$, $y \geq 0$
D
$x+2 y \leq 6,5 x+3 y \leq 15, x \leq 7, y \geq 6, x$, $y \geq 0$
2
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of $\mathrm{Z}=x+y$, subjected to $x+y \leq 10,5 x+3 y \geq 15, x \leq 6, x, y \geq 0$

A
occurs only at unique point
B
occurs only at two distinct points
C
occurs at infinitely many points
D
does not exist
3
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 16 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
$x \geqslant 1, y \leqslant 3, x-2 y \leqslant 2,6 x+7 y \leqslant 42, x \geqslant 0, y \geqslant 0$
4
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 17 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
$x+2 y \leq 50,2 x+y \geq 100,2 x-y \leq 0$, $x, y \geq 0$
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