1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $z=a x+b y ; a, b>0$ subject to $x \leq 2, y \leq 2, x+y \geq 3, x \geq 0, y \geq 0$ has minimum value at $(2,1)$ only, then......

A
$a>b$
B
$a=b$
C
$a< b$
D
$a=1+b$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of $Z=5 x+4 y$, Subject to $y \leq 2 x, x \leq 2 y, x+y \leq 3, x \geq 0, y \geq 0$ is ........

A
14
B
12
C
13
D
18
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of $z=6 x+8 y$ subject to $x-y \geq 0, x+3 y \leq 12, x \geq 0, y \geq 0$ is $\ldots \ldots$.

A
72
B
42
C
96
D
24
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

For L.P.P, maximize $z=4 x_1+2 x_2$ subject to $3 x_1+2 x_2 \geq 9, x_1-x_2 \leq 3, x_1 \geq 0, x_2 \geq 0$ has

A
infinite number of optimal solutions
B
unbounded solution
C
no solution
D
one optimal solution
MHT CET Subjects
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