# Linear Programming · Mathematics · MHT CET

Start Practice## MCQ (Single Correct Answer)

MHT CET 2023 14th May Evening Shift

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

MHT CET 2023 14th May Morning Shift

The solution set of the inequalities $$4 x+3 y \leq 60, y \geq 2 x, x \geq 3, x, y \geq 0$$ is represented by region
...

MHT CET 2023 13th May Evening Shift

The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function $$z=10 x+25 y$$ subject to the...

MHT CET 2023 13th May Morning Shift

If feasible region is as shown in the figure, then related inequalities are
...

MHT CET 2023 12th May Evening Shift

The maximum value of $$z=7 x+8 y$$ subject to the constraints $$x+y \leq 20, y \geq 5, x \leq 10, x \geq 0, y \geq 0$$ is

MHT CET 2023 12th May Morning Shift

For a feasible region OCDBO given below, the maximum value of the objective function $$z=3 x+4 y$$ is
...

MHT CET 2023 11th May Evening Shift

The maximum value of $$z=3 x+5 y$$ subject to the constraints $$3 x+2 y \leq 18, x \leq 4, y \leq 6, x, y \geq 0$$, is

MHT CET 2023 11th May Morning Shift

For the following shaded area, the linear constraints except $$x,y \ge 0$$ are
...

MHT CET 2023 10th May Evening Shift

The shaded area in the figure given below is a solution set of a system of inequations. The minimum value of objective function $$3 x+5 y$$, subject t...

MHT CET 2023 10th May Morning Shift

The vertices of the feasible region for the constraints $$x+y \leq 4, x \leq 2, y \leq 1, x+y \geq 1, x, y \geq 0$$ are

MHT CET 2023 9th May Evening Shift

The graphical solution set for the system of inequations
$$x-2 y \leq 2,5 x+2 y \geq 10,4 x+5 y \leq 20, x \geq 0,
y \geq 0$$ is given by
...

MHT CET 2023 9th May Morning Shift

If feasible region is as shown in the figure, then the related inequalities are
...

MHT CET 2022 11th August Evening Shift

Maximum value of $$Z=5 x+2 y$$, subject to $$2 x-y \geq 2, x+2 y \leq 8$$ and $$x, y \geq 0$$ is

MHT CET 2021 24th September Evening Shift

The region represented by the inequalities $$x \geq 6, y \geq 3,2 x+y \geq 10, x \geq 0, y \geq 0$$ is

MHT CET 2021 24th September Morning Shift

The common region of the solutions of the inequations $$x+2 y \geq 4,2 x-y \leq 6$$ and $$x, y>0$$ is

MHT CET 2021 23rd September Evening Shift

The minimum value of the objective function $$z=4 x+6 y$$ subject to $$x+2 y \geq 80,3 x+y \geq 75, x, y \geq 0$$ is

MHT CET 2021 23th September Morning Shift

The maximum value of the objective function $$z=2 x+3 y$$ subject to the constraints $$x+y \leq 5,2 x+y \geq 4$$ and $$x \geq 0, y \geq 0$$ is

MHT CET 2021 22th September Evening Shift

The common region of the solution of the inequations $$x+y \geq 5, y \leq 4, x \geq 2, x, y \geq 0$$ is

MHT CET 2021 22th September Morning Shift

The maximum value of $$z=10 x+25 y$$ subject to $$0 \leq x \leq 3,0 \leq y \leq 3, x+y \leq 5$$ occurs at the point.

MHT CET 2021 21th September Evening Shift

The objective function $$z=4 x+5 y$$ subjective to $$2 x+y \geq 7 ; 2 x+3 y \leq 15 ; y \leq 3, x \geq 0 ; y \geq 0$$ has minimum value at the point....

MHT CET 2021 21th September Morning Shift

The shaded figure given below is the solution set for the linear inequations. Choose the correct option.
...

MHT CET 2021 20th September Evening Shift

The solution set for the system of linear inequations $$x+y \geq 1 ; 7 x+9 y \leq 63 ; y \leq 5 ; x \leq 6, x \geq 0$$ and $$y \geq 0$$ is represented...

MHT CET 2021 20th September Morning Shift

The shaded part of the given figure indicates the feasible region. Then the constraints are
...

MHT CET 2020 16th October Morning Shift

The minimum value of $$Z=5 x+8 y$$ subject to $$x+y \geq 5,0 \leq x \leq 4, y \geq 2, x \geq 0, y \geq 0$$ is