1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

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

A
15
B
10
C
20
D
25
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

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

A
unbounded and non-origin side
B
unbounded and origin side
C
bounded and origin side
D
bounded and non-origin side
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

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.

A
$$(3,2)$$
B
$$(2,3)$$
C
$$(4,3)$$
D
$$(5,4)$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

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.

A
on the line $$2 x+3 y=15$$
B
on X-axis
C
on Y-axis
D
origin
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