MHT CET 2023 14th May Evening Shift | Linear Programming Question 1 | Mathematics

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 16 English

$$2 x+3 y \geq 6,-x+2 y \geq 2,3 x+6 y \leq 18, x-3 y \geq 3, x \geq 0, y \geq 0$$

$$2 x+3 y \geq 6,-x+2 y \leq 2, x-3 y \leq 3 x +2 y \geq 18, x \geq 0, y \geq 0$$

$$2 x+3 y \leq 6,-x+2 y \geq 2,3 x+6 y \leq 18 x-3 y \leq 3, x \geq 0, y \geq 0$$

$$2 x+3 y \geq 6,3 x+6 y \leq 18, x-3 y \leq 3 -x+2 y \leq 2, x \geq 0, y \geq 0$$

MHT CET 2023 14th May Morning Shift

MCQ (Single Correct Answer)

-0

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 14th May Morning Shift Mathematics - Linear Programming Question 18 English

$$\mathrm{S}_2$$ region

$$\mathrm{S}_1$$ region

$$\mathrm{S}_3$$ region

$$\mathrm{S}_4$$ region

MHT CET 2023 13th May Evening Shift

MCQ (Single Correct Answer)

-0

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 linear constraints given by the system is

MHT CET 2023 13th May Evening Shift Mathematics - Linear Programming Question 17 English

100

105

MHT CET 2023 13th May Morning Shift

MCQ (Single Correct Answer)

-0

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

MHT CET 2023 13th May Morning Shift Mathematics - Linear Programming Question 19 English

$$3 x+4 y \geq 12,4 x+7 y \leq 28, y \leq 1, x \geq 0, y \geq 0$$

$$3 x+4 y \geq 12,4 x+7 y \leq 28, y \geq 1, x \geq 0, y \geq 0$$

$$3 x+4 y \leq 12,4 x+7 y \leq 28, y \leq 1, x \geq 0, y \geq 0$$

$$3 x+4 y \leq 12,4 x+7 y \geq 28, y \geq 1, x \geq 0, y \geq 0$$

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