30
MCQ (Single Correct Answer)
The feasible region for an LPP is shown in the following figure. Let $F=3 x-4 y$ be the objective function. Maximum value of $F$ is
A
0
B
8
C
12
D
$-$18
31
MCQ (Single Correct Answer)
Minimum value of F is
A
0
B
$-$16
C
12
D
Does not exist
32
MCQ (Single Correct Answer)
Corner points of the feasible region for an LPP are $(0,2),(3,0),(6,0)$, $(6,8)$ and $(0,5)$. Let $F=4 x+6 y$ be the objective function. The minimum value of $F$ occurs at
A
Only (0, 2)
B
Only $(3,0)$
C
the mid-point of the line segment joining the points $(0,2)$ and $(3,0)$
D
any point on the line segment joining the points $(0,2)$ and $(3,0)$
33
MCQ (Single Correct Answer)
Maximum of F $-$ minimum of F is equal to
A
60
B
48
C
42
D
18
34
MCQ (Single Correct Answer)
Corner points of the feasible region determined by the system of linear constraints are $(0,3),(1,1)$ and $(3,0)$. Let $Z=p x+q y$, where $p, q>0$. Condition on $p$ and $q$, so that the minimum of $Z$ occurs at $(3,0)$ and $(1,1)$ is
A
$p=2 q$
B
$p=\frac{q}{2}$
C
$p=3 q$
D
$p=q$