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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.

39

A feasible region of a system of linear inequalities is said to be ......., if it can be enclosed within a circle.

Explanation

A feasible region of a system of linear inequalities is said to be bounded, if it can be enclosed within a circle.

40

A corner point of a feasible region is a point in the region which is the ....... of two boundary lines.

Explanation

A corner point of a feasible region is a point in the region which is the intersection of two boundary lines.

41

The feasible region for an LPP is always a ....... polygon.

Explanation

The feasible region for an LPP is always a convex polygon.