1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-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 10 English

A
$$\mathrm{S}_2$$ region
B
$$\mathrm{S}_1$$ region
C
$$\mathrm{S}_3$$ region
D
$$\mathrm{S}_4$$ region
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-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 9 English

A
80
B
100
C
95
D
105
3
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-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 11 English
A
$$3 x+4 y \geq 12,4 x+7 y \leq 28, y \leq 1, x \geq 0, y \geq 0$$
B
$$3 x+4 y \geq 12,4 x+7 y \leq 28, y \geq 1, x \geq 0, y \geq 0$$
C
$$3 x+4 y \leq 12,4 x+7 y \leq 28, y \leq 1, x \geq 0, y \geq 0$$
D
$$3 x+4 y \leq 12,4 x+7 y \geq 28, y \geq 1, x \geq 0, y \geq 0$$
4
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

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

A
150
B
160
C
110
D
180
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