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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
$p=q$
35

In a LPP, the linear inequalities or restrictions on the variables are called ....... .

Explanation

In a LPP, the linear inequalities or restrictions on the variables are called linear constraints.

36

In a LPP, the objective function is always... .

Explanation

In a LPP, objective function is always linear.

37

In the feasible region for a LPP is ......, then the optimal value of the objective function $Z=a x+b y$ may or may not exist.

Explanation

If the feasible region for a LPP is unbounded, then the optimal value of the objective function $Z=a x+$ by may or may not exist.

38

In a LPP, if the objective function $Z=a x+b y$ has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two points give the same ........ value.

Explanation

In a LPP, if the objective function $Z=a x+$ by has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two points give the same maximum value.